docs/source/notebooks/tf_edi_example.ipynb

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    "# EDI formats\n",
    "\n",
    "[EDI](https://library.seg.org/doi/abs/10.1190/1.1892244) files have historically been the most common format for MT transfer functions.  The metadata is quite flexible and can be verbose or scant in details about the transfer function.  Needless to say there are many flavor of EDI files.  The EDI module has been test with various flavors, if you find your's is not read properly be sure to raise an [issue](https://github.com/kujaku11/mt_metadata/issues) with the \"transfer function\" label.  \n",
    "\n",
    "Here we will load a few different types of EDI files into TF. The files are common products from contracting companies. \n",
    "\n",
    "**Note**: Spectra data can be readily converted. The spectra conversion is adopted from Anna Kelbert's [EMTF fortran code](https://software.seg.org/2020/0001/).  This computes the `inverse_signal_power` and `residual_covariance` estimates for the errors to accurately estimate error upon rotation.  "
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   "id": "1c1c4ff7-8fba-4c95-be27-162f9a9f7c38",
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   "source": [
    "from mt_metadata.transfer_functions import TF\n",
    "from mt_metadata.transfer_functions.io.edi import EDI"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8d74b614-7f23-4705-b0b1-3e81baeec37e",
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   "source": [
    "### Common output by Phoenix Geophysics"
   ]
  },
  {
   "cell_type": "code",
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   "id": "d2a95b99-b0f8-46fb-bce4-096600024cb8",
   "metadata": {},
   "outputs": [],
   "source": [
    "from mt_metadata import TF_EDI_PHOENIX"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "28be888b-29d1-465f-9f59-6ee928a3ad3b",
   "metadata": {},
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   "source": [
    "tf_object = TF(fn=TF_EDI_PHOENIX)\n",
    "tf_object.read()\n",
    "edi_object = EDI(fn=TF_EDI_PHOENIX)"
   ]
  },
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      ">HEAD\n",
      "\tACQBY=Phoenix\n",
      "\tACQDATE=2014-07-28T00:00:00+00:00\n",
      "\tCOORDINATE_SYSTEM=geographic\n",
      "\tDATAID=14-IEB0537A\n",
      "\tDATUM=WGS84\n",
      "\tELEV=158.000\n",
      "\tEMPTY=1e+32\n",
      "\tFILEBY=Phoenix\n",
      "\tFILEDATE=2023-03-16\n",
      "\tLAT=-22:49:25.40\n",
      "\tLON=139:17:40.90\n",
      "\tPROGDATE=2021-12-01\n",
      "\tPROGNAME=mt_metadata\n",
      "\tPROGVERS=0.2.2\n",
      "\tSTDVERS=SEG 1.0\n",
      "\tUNITS=M\n",
      "\n",
      "\n",
      ">INFO\n",
      "    CUTOFF: 0.00 COH: 35 % VAR: 25 %\n",
      "    Comp   MTU box  S/N   Temp\n",
      "    Comp Chan#   Sensor     Azimuth\n",
      "    Ebat:12.3V Hbat:12.3V Rbat:11.9V\n",
      "    Elevation: 158    M. DECL: 0.000\n",
      "    Ex & Ey: MTU5A    2189   39 C\n",
      "    Ex1   1     100.0 M    0.0 DGtn\n",
      "    Ey1   2     100.0 M   90.0 DGtn\n",
      "    FILE: IEB0537A IEB0564M\n",
      "    Hx & Hy: MTU5A    2189   39 C\n",
      "    Hx1   3    COIL2318    0.0 DGtn\n",
      "    Hy1   4    COIL2319   90.0 DGtn\n",
      "    Hz1   5    COIL2320\n",
      "    Hz: MTU5A    2189   39 C\n",
      "    Lat  22:49:254S Long 139:17:409E\n",
      "    Lat 22:49.423 S Lng 139:17.681 E\n",
      "    MTU-Box Gains:E`s x 4 H`s x 4\n",
      "    MTU-DFT VERSION: TStoFT.38\n",
      "    MTU-RBS VERSION:R2012-0216-B22\n",
      "    MTU-Ref Serial Number: U-2779\n",
      "    Notch Filters set for 50 Hz.\n",
      "    PROCESSED FROM DFT TIME SERIES\n",
      "    RBS: 7  COH: 0.85  RHO VAR: 0.75\n",
      "    RHx2   6    COIL2485    0.0 DGtn\n",
      "    RHy2   7    COIL2487   90.0 DGtn\n",
      "    RUN INFORMATION\n",
      "    Reference Field: Remote H - Ref.\n",
      "    Reference Site: IEB0564M\n",
      "    Rx & Ry: MTU5A    2779   40 C\n",
      "    STATION 1\n",
      "    SYSTEM INFORMATION\n",
      "    Site Desc; BadR: 0 SatR: 54\n",
      "    Site Layout by:\n",
      "    Site Permitted by:\n",
      "\n",
      "\n",
      ">=DEFINEMEAS\n",
      "    MAXCHAN=7\n",
      "    MAXRUN=999\n",
      "    MAXMEAS=7\n",
      "    REFLAT=-22.823722\n",
      "    REFLON=139.294694\n",
      "    REFELEV=158.0\n",
      "    REFTYPE=CART\n",
      "    UNITS=M\n",
      "\n",
      ">HMEAS ID=5371.0537 CHTYPE=HX X=8.50 Y=8.50 Z=0.00 AZM=0.00 DIP=0.00 ACQCHAN=CH3\n",
      ">HMEAS ID=5372.0537 CHTYPE=HY X=-8.50 Y=8.50 Z=0.00 AZM=90.00 DIP=0.00 ACQCHAN=CH4\n",
      ">HMEAS ID=5373.0537 CHTYPE=HZ X=21.20 Y=-21.20 Z=0.00 AZM=0.00 DIP=0.00 ACQCHAN=CH5\n",
      ">EMEAS ID=5374.0537 CHTYPE=EX X=-50.00 Y=-0.00 Z=0.00 X2=50.00 Y2=0.00 Z2=0.00 AZM=0.00 ACQCHAN=CH1\n",
      ">EMEAS ID=5375.0537 CHTYPE=EY X=22.40 Y=-44.70 Z=0.00 X2=-22.40 Y2=44.70 Z2=0.00 AZM=116.62 ACQCHAN=CH2\n",
      ">HMEAS ID=5376.0537 CHTYPE=RRHX X=8.50 Y=45008.50 Z=0.00 AZM=0.00 DIP=0.00 ACQCHAN=CH6\n",
      ">HMEAS ID=5377.0537 CHTYPE=RRHY X=-8.50 Y=45008.50 Z=0.00 AZM=90.00 DIP=0.00 ACQCHAN=CH7\n",
      "\n",
      "\n",
      ">=MTSECT\n",
      "    NFREQ=80\n",
      "    SECTID=14-IEB0537A\n",
      "    NCHAN=7\n",
      "    MAXBLKS=80\n",
      "    HX=5371.0537\n",
      "    HY=5372.0537\n",
      "    HZ=5373.0537\n",
      "    EX=5374.0537\n",
      "    EY=5375.0537\n",
      "    RRHX=5376.0537\n",
      "    RRHY=5377.0537\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(edi_object.Header)\n",
    "print(edi_object.Info)\n",
    "print(edi_object.Measurement)\n",
    "print(edi_object.Data)"
   ]
  },
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     "text": [
      "Station: 14-IEB0537A\n",
      "--------------------------------------------------\n",
      "\tSurvey:            BOULIA\n",
      "\tProject:           IEB\n",
      "\tAcquired by:       Phoenix\n",
      "\tAcquired date:     2014-07-28\n",
      "\tLatitude:          -22.824\n",
      "\tLongitude:         139.295\n",
      "\tElevation:         158.000\n",
      "\tDeclination:   \n",
      "\t\tValue:     0.0\n",
      "\t\tModel:     WMM\n",
      "\tCoordinate System: geographic\n",
      "\tImpedance:         True\n",
      "\tTipper:            True\n",
      "\tN Periods:     80\n",
      "\tPeriod Range:\n",
      "\t\tMin:   3.12500E-03 s\n",
      "\t\tMax:   2.94118E+03 s\n",
      "\tFrequency Range:\n",
      "\t\tMin:   3.40000E-04 Hz\n",
      "\t\tMax:   3.20000E+02 Hz\n"
     ]
    }
   ],
   "source": [
    "print(tf_object)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "0cda5340-58de-4eec-af76-93aab3752ebc",
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       "{\n",
       "    \"station\": {\n",
       "        \"acquired_by.author\": \"Phoenix\",\n",
       "        \"channels_recorded\": [\n",
       "            \"ex\",\n",
       "            \"ey\",\n",
       "            \"hx\",\n",
       "            \"hy\",\n",
       "            \"hz\",\n",
       "            \"rrhx\",\n",
       "            \"rrhy\"\n",
       "        ],\n",
       "        \"comments\": \"CUTOFF: 0.00 COH: 35 % VAR: 25 %\\nComp   MTU box  S/N   Temp\\nComp Chan#   Sensor     Azimuth\\nEbat:12.3V Hbat:12.3V Rbat:11.9V\\nElevation: 158    M. DECL: 0.000\\nEx & Ey: MTU5A    2189   39 C\\nEx1   1     100.0 M    0.0 DGtn\\nEy1   2     100.0 M   90.0 DGtn\\nFILE: IEB0537A IEB0564M\\nHx & Hy: MTU5A    2189   39 C\\nHx1   3    COIL2318    0.0 DGtn\\nHy1   4    COIL2319   90.0 DGtn\\nHz1   5    COIL2320\\nHz: MTU5A    2189   39 C\\nLat  22:49:254S Long 139:17:409E\\nLat 22:49.423 S Lng 139:17.681 E\\nMTU-Box Gains:E`s x 4 H`s x 4\\nMTU-DFT VERSION: TStoFT.38\\nMTU-RBS VERSION:R2012-0216-B22\\nMTU-Ref Serial Number: U-2779\\nNotch Filters set for 50 Hz.\\nPROCESSED FROM DFT TIME SERIES\\nRBS: 7  COH: 0.85  RHO VAR: 0.75\\nRHx2   6    COIL2485    0.0 DGtn\\nRHy2   7    COIL2487   90.0 DGtn\\nRUN INFORMATION\\nReference Field: Remote H - Ref.\\nReference Site: IEB0564M\\nRx & Ry: MTU5A    2779   40 C\\nSTATION 1\\nSYSTEM INFORMATION\\nSite Desc; BadR: 0 SatR: 54\\nSite Layout by:\\nSite Permitted by:\",\n",
       "        \"data_type\": \"MT\",\n",
       "        \"geographic_name\": null,\n",
       "        \"id\": \"14-IEB0537A\",\n",
       "        \"location.datum\": \"WGS84\",\n",
       "        \"location.declination.model\": \"WMM\",\n",
       "        \"location.declination.value\": 0.0,\n",
       "        \"location.elevation\": 158.0,\n",
       "        \"location.latitude\": -22.823722222222223,\n",
       "        \"location.longitude\": 139.29469444444445,\n",
       "        \"orientation.method\": null,\n",
       "        \"orientation.reference_frame\": \"geographic\",\n",
       "        \"provenance.creation_time\": \"2014-08-01T00:00:00+00:00\",\n",
       "        \"provenance.software.author\": null,\n",
       "        \"provenance.software.name\": \"Phoenix\",\n",
       "        \"provenance.software.version\": \"MT-Editor Ver 0.99.2.106\",\n",
       "        \"provenance.submitter.author\": \"Phoenix\",\n",
       "        \"provenance.submitter.email\": null,\n",
       "        \"provenance.submitter.organization\": null,\n",
       "        \"release_license\": \"CC0-1.0\",\n",
       "        \"run_list\": [\n",
       "            \"14-IEB0537Aa\"\n",
       "        ],\n",
       "        \"time_period.end\": \"2014-07-28T23:38:25+00:00\",\n",
       "        \"time_period.start\": \"2014-07-28T02:57:00+00:00\",\n",
       "        \"transfer_function.coordinate_system\": \"geopgraphic\",\n",
       "        \"transfer_function.id\": \"14-IEB0537A\",\n",
       "        \"transfer_function.processed_date\": null,\n",
       "        \"transfer_function.processing_parameters\": [\n",
       "            \"processing_parameters=[XPR Weighting=RHO Variance.]\"\n",
       "        ],\n",
       "        \"transfer_function.remote_references\": [],\n",
       "        \"transfer_function.runs_processed\": [\n",
       "            \"14-IEB0537Aa\"\n",
       "        ],\n",
       "        \"transfer_function.sign_convention\": null,\n",
       "        \"transfer_function.units\": null\n",
       "    }\n",
       "}"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tf_object.station_metadata"
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   "cell_type": "code",
   "execution_count": 8,
   "id": "73387d55-fefc-4055-8516-7a71d7a1ed83",
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     "data": {
      "text/plain": [
       "{\n",
       "    \"survey\": {\n",
       "        \"acquired_by.author\": \"Phoenix\",\n",
       "        \"citation_dataset.doi\": null,\n",
       "        \"citation_journal.doi\": null,\n",
       "        \"datum\": \"WGS84\",\n",
       "        \"geographic_name\": null,\n",
       "        \"id\": \"BOULIA\",\n",
       "        \"name\": null,\n",
       "        \"northwest_corner.latitude\": 0.0,\n",
       "        \"northwest_corner.longitude\": 0.0,\n",
       "        \"project\": \"IEB\",\n",
       "        \"project_lead.email\": null,\n",
       "        \"project_lead.organization\": null,\n",
       "        \"release_license\": \"CC0-1.0\",\n",
       "        \"southeast_corner.latitude\": 0.0,\n",
       "        \"southeast_corner.longitude\": 0.0,\n",
       "        \"summary\": null,\n",
       "        \"time_period.end_date\": \"1980-01-01\",\n",
       "        \"time_period.start_date\": \"1980-01-01\"\n",
       "    }\n",
       "}"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
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   "source": [
    "tf_object.survey_metadata"
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       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2 {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:                        (period: 80, output: 5, input: 5)\n",
       "Coordinates:\n",
       "  * period                         (period) float64 0.003125 ... 2.941e+03\n",
       "  * output                         (output) &lt;U2 &#x27;ex&#x27; &#x27;ey&#x27; &#x27;hx&#x27; &#x27;hy&#x27; &#x27;hz&#x27;\n",
       "  * input                          (input) &lt;U2 &#x27;ex&#x27; &#x27;ey&#x27; &#x27;hx&#x27; &#x27;hy&#x27; &#x27;hz&#x27;\n",
       "Data variables:\n",
       "    transfer_function              (period, output, input) complex128 (nan+na...\n",
       "    transfer_function_error        (period, output, input) float64 nan ... nan\n",
       "    transfer_function_model_error  (period, output, input) float64 nan ... nan\n",
       "    inverse_signal_power           (period, output, input) complex128 (nan+na...\n",
       "    residual_covariance            (period, output, input) complex128 (7.7123...\n",
       "Attributes: (12/14)\n",
       "    survey:             BOULIA\n",
       "    project:            IEB\n",
       "    id:                 14-IEB0537A\n",
       "    name:               None\n",
       "    latitude:           -22.823722222222223\n",
       "    longitude:          139.29469444444445\n",
       "    ...                 ...\n",
       "    datum:              WGS84\n",
       "    acquired_by:        Phoenix\n",
       "    start:              2014-07-28T02:57:00+00:00\n",
       "    end:                2014-07-28T23:38:25+00:00\n",
       "    runs_processed:     [&#x27;14-IEB0537Aa&#x27;]\n",
       "    coordinate_system:  geographic</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-4a99fb7b-a291-4606-9ffc-566fa2e98556' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-4a99fb7b-a291-4606-9ffc-566fa2e98556' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>period</span>: 80</li><li><span class='xr-has-index'>output</span>: 5</li><li><span class='xr-has-index'>input</span>: 5</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-54db35fd-4e4e-404e-a568-498f461e4413' class='xr-section-summary-in' type='checkbox'  checked><label for='section-54db35fd-4e4e-404e-a568-498f461e4413' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>period</span></div><div class='xr-var-dims'>(period)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.003125 0.003774 ... 2.941e+03</div><input id='attrs-a91c7c35-6492-42bc-b384-c7cdf8cb91c8' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a91c7c35-6492-42bc-b384-c7cdf8cb91c8' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-71143794-1197-470c-859d-db8d44f4c6e0' class='xr-var-data-in' type='checkbox'><label for='data-71143794-1197-470c-859d-db8d44f4c6e0' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([3.125000e-03, 3.773585e-03, 4.366812e-03, 5.154639e-03, 6.289308e-03,\n",
       "       7.575758e-03, 8.695652e-03, 1.030928e-02, 1.265823e-02, 1.515152e-02,\n",
       "       1.754386e-02, 2.040816e-02, 2.500000e-02, 3.030303e-02, 3.636364e-02,\n",
       "       4.444444e-02, 5.319149e-02, 6.172840e-02, 7.299270e-02, 8.928571e-02,\n",
       "       1.063830e-01, 1.234568e-01, 1.449275e-01, 1.785714e-01, 2.127660e-01,\n",
       "       2.439024e-01, 2.941176e-01, 3.558719e-01, 4.273504e-01, 4.926108e-01,\n",
       "       5.813953e-01, 7.092199e-01, 8.547009e-01, 9.803922e-01, 1.162791e+00,\n",
       "       1.428571e+00, 1.694915e+00, 1.960784e+00, 2.325581e+00, 2.857143e+00,\n",
       "       3.412969e+00, 3.937008e+00, 4.651163e+00, 5.681818e+00, 6.849315e+00,\n",
       "       7.874016e+00, 9.345794e+00, 1.136364e+01, 1.369863e+01, 1.587302e+01,\n",
       "       1.851852e+01, 2.272727e+01, 2.702703e+01, 3.125000e+01, 3.717472e+01,\n",
       "       4.545455e+01, 5.464481e+01, 6.289308e+01, 7.462687e+01, 9.090909e+01,\n",
       "       1.086957e+02, 1.265823e+02, 1.492537e+02, 1.818182e+02, 2.173913e+02,\n",
       "       2.500000e+02, 2.941176e+02, 3.636364e+02, 4.366812e+02, 5.050505e+02,\n",
       "       5.952381e+02, 7.299270e+02, 8.771930e+02, 1.010101e+03, 1.190476e+03,\n",
       "       1.449275e+03, 1.754386e+03, 2.000000e+03, 2.380952e+03, 2.941176e+03])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>output</span></div><div class='xr-var-dims'>(output)</div><div class='xr-var-dtype'>&lt;U2</div><div class='xr-var-preview xr-preview'>&#x27;ex&#x27; &#x27;ey&#x27; &#x27;hx&#x27; &#x27;hy&#x27; &#x27;hz&#x27;</div><input id='attrs-d73c0cc7-d848-4800-a85e-8122bad85514' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d73c0cc7-d848-4800-a85e-8122bad85514' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-12ca51b8-48f3-4594-aeba-fdafb25728e8' class='xr-var-data-in' type='checkbox'><label for='data-12ca51b8-48f3-4594-aeba-fdafb25728e8' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;ex&#x27;, &#x27;ey&#x27;, &#x27;hx&#x27;, &#x27;hy&#x27;, &#x27;hz&#x27;], dtype=&#x27;&lt;U2&#x27;)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>input</span></div><div class='xr-var-dims'>(input)</div><div class='xr-var-dtype'>&lt;U2</div><div class='xr-var-preview xr-preview'>&#x27;ex&#x27; &#x27;ey&#x27; &#x27;hx&#x27; &#x27;hy&#x27; &#x27;hz&#x27;</div><input id='attrs-a82d9825-3f9a-4098-8c39-c8b59e329dc7' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a82d9825-3f9a-4098-8c39-c8b59e329dc7' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-50aece0c-4548-49d3-990a-7a2d7a3de8d6' class='xr-var-data-in' type='checkbox'><label for='data-50aece0c-4548-49d3-990a-7a2d7a3de8d6' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;ex&#x27;, &#x27;ey&#x27;, &#x27;hx&#x27;, &#x27;hy&#x27;, &#x27;hz&#x27;], dtype=&#x27;&lt;U2&#x27;)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-e5a46e17-e286-4078-a6f7-606b8f47398d' class='xr-section-summary-in' type='checkbox'  checked><label for='section-e5a46e17-e286-4078-a6f7-606b8f47398d' class='xr-section-summary' >Data variables: <span>(5)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>transfer_function</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>complex128</div><div class='xr-var-preview xr-preview'>(nan+nanj) ... (nan+nanj)</div><input id='attrs-127914f3-5882-42bf-814f-c2204c4c4581' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-127914f3-5882-42bf-814f-c2204c4c4581' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c60670e1-653b-4da1-8f4c-d776a47674ce' class='xr-var-data-in' type='checkbox'><label for='data-c60670e1-653b-4da1-8f4c-d776a47674ce' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "         -2.77624774e+01-6.08428858e+00j,\n",
       "          4.12704291e+02+3.18384300e+02j,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "         -2.86741284e+02-1.66741324e+02j,\n",
       "          4.74763427e+01-8.97627748e-01j,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "...\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "         -3.66699812e-01-7.77540242e-01j,\n",
       "          7.50815948e-01+7.26411136e-01j,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "          2.14689376e-01-2.91046433e-02j,\n",
       "          5.59718278e-02-3.89128663e-01j,\n",
       "                     nan           +nanj]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>transfer_function_error</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan 9.757 ... 0.1091 nan</div><input id='attrs-2b65f05c-c7bc-4982-be39-3d8bb3ee6c32' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-2b65f05c-c7bc-4982-be39-3d8bb3ee6c32' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-41e74a32-38ac-4093-bc81-dfb7c0ba2f0e' class='xr-var-data-in' type='checkbox'><label for='data-41e74a32-38ac-4093-bc81-dfb7c0ba2f0e' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[           nan,            nan, 9.75704228e+00, 4.52843983e+00,\n",
       "                    nan],\n",
       "        [           nan,            nan, 6.29714502e+00, 2.92263183e+00,\n",
       "                    nan],\n",
       "        [           nan,            nan,            nan,            nan,\n",
       "                    nan],\n",
       "        [           nan,            nan,            nan,            nan,\n",
       "                    nan],\n",
       "        [           nan,            nan, 2.04486749e-02, 9.49064187e-03,\n",
       "                    nan]],\n",
       "\n",
       "       [[           nan,            nan, 7.53947543e+00, 4.30759019e+00,\n",
       "                    nan],\n",
       "        [           nan,            nan, 4.97153994e+00, 2.84043060e+00,\n",
       "                    nan],\n",
       "        [           nan,            nan,            nan,            nan,\n",
       "                    nan],\n",
       "        [           nan,            nan,            nan,            nan,\n",
       "                    nan],\n",
       "        [           nan,            nan, 1.80233419e-02, 1.02974234e-02,\n",
       "...\n",
       "                    nan],\n",
       "        [           nan,            nan, 2.18184644e-02, 4.08093549e-02,\n",
       "                    nan],\n",
       "        [           nan,            nan,            nan,            nan,\n",
       "                    nan],\n",
       "        [           nan,            nan,            nan,            nan,\n",
       "                    nan],\n",
       "        [           nan,            nan, 1.05958103e-01, 1.98184518e-01,\n",
       "                    nan]],\n",
       "\n",
       "       [[           nan,            nan, 3.67344561e-02, 5.63901022e-02,\n",
       "                    nan],\n",
       "        [           nan,            nan, 1.56853307e-02, 2.40781407e-02,\n",
       "                    nan],\n",
       "        [           nan,            nan,            nan,            nan,\n",
       "                    nan],\n",
       "        [           nan,            nan,            nan,            nan,\n",
       "                    nan],\n",
       "        [           nan,            nan, 7.10770325e-02, 1.09108493e-01,\n",
       "                    nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>transfer_function_model_error</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan 0.0 0.0 ... nan 0.0 0.0 nan</div><input id='attrs-bdcd9f4a-995f-4484-b37a-7f91091bb7e5' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-bdcd9f4a-995f-4484-b37a-7f91091bb7e5' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-fdf37b3a-2eff-46d1-bcc8-c3515ff70d0d' class='xr-var-data-in' type='checkbox'><label for='data-fdf37b3a-2eff-46d1-bcc8-c3515ff70d0d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       ...,\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>inverse_signal_power</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>complex128</div><div class='xr-var-preview xr-preview'>(nan+nanj) ... (nan+nanj)</div><input id='attrs-393c0bba-6029-4158-a204-c4ae9113e37e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-393c0bba-6029-4158-a204-c4ae9113e37e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-9526d271-3564-4aa7-9f5b-1920df8cd2c6' class='xr-var-data-in' type='checkbox'><label for='data-9526d271-3564-4aa7-9f5b-1920df8cd2c6' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "          1.23437482e+08+5.58793545e-09j,\n",
       "         -9.33212617e+06-1.06474775e+06j,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "         -9.33212617e+06+1.06474775e+06j,\n",
       "          2.65893599e+07+5.82076609e-11j,\n",
       "                     nan           +nanj],\n",
       "...\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "          3.61572386e-04+0.00000000e+00j,\n",
       "         -4.15558850e-05-1.13085122e-04j,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "         -4.15558850e-05+1.13085122e-04j,\n",
       "          8.52027851e-04-1.69406589e-21j,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>residual_covariance</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>complex128</div><div class='xr-var-preview xr-preview'>(7.712395998967412e-07-2.3711365...</div><input id='attrs-a1521139-5012-4dd0-b171-4de0ffb81ee9' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a1521139-5012-4dd0-b171-4de0ffb81ee9' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-efae4415-1d17-42f2-bc9b-1128f175b5f6' class='xr-var-data-in' type='checkbox'><label for='data-efae4415-1d17-42f2-bc9b-1128f175b5f6' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[ 7.71239600e-07-2.37113652e-22j,\n",
       "          8.78736313e-08+2.35474278e-08j,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "         -6.33696059e-11+4.07467920e-11j],\n",
       "        [ 8.78736313e-08-2.35474278e-08j,\n",
       "          3.21247930e-07+0.00000000e+00j,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "          4.10550114e-11-2.08903033e-11j],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "...\n",
       "        [ 1.55976484e+00+2.40015341e-01j,\n",
       "          6.80443556e-01+6.06184317e-14j,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "          7.16901502e-01+2.90594844e+00j],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [ 2.43444363e+00-6.41333550e+00j,\n",
       "          7.16901502e-01-2.90594844e+00j,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "          1.39721526e+01+0.00000000e+00j]]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-c305b18c-bd5f-4ba8-83b5-21c30eb969fc' class='xr-section-summary-in' type='checkbox'  ><label for='section-c305b18c-bd5f-4ba8-83b5-21c30eb969fc' class='xr-section-summary' >Attributes: <span>(14)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>survey :</span></dt><dd>BOULIA</dd><dt><span>project :</span></dt><dd>IEB</dd><dt><span>id :</span></dt><dd>14-IEB0537A</dd><dt><span>name :</span></dt><dd>None</dd><dt><span>latitude :</span></dt><dd>-22.823722222222223</dd><dt><span>longitude :</span></dt><dd>139.29469444444445</dd><dt><span>elevation :</span></dt><dd>158.0</dd><dt><span>declination :</span></dt><dd>0.0</dd><dt><span>datum :</span></dt><dd>WGS84</dd><dt><span>acquired_by :</span></dt><dd>Phoenix</dd><dt><span>start :</span></dt><dd>2014-07-28T02:57:00+00:00</dd><dt><span>end :</span></dt><dd>2014-07-28T23:38:25+00:00</dd><dt><span>runs_processed :</span></dt><dd>[&#x27;14-IEB0537Aa&#x27;]</dd><dt><span>coordinate_system :</span></dt><dd>geographic</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.Dataset>\n",
       "Dimensions:                        (period: 80, output: 5, input: 5)\n",
       "Coordinates:\n",
       "  * period                         (period) float64 0.003125 ... 2.941e+03\n",
       "  * output                         (output) <U2 'ex' 'ey' 'hx' 'hy' 'hz'\n",
       "  * input                          (input) <U2 'ex' 'ey' 'hx' 'hy' 'hz'\n",
       "Data variables:\n",
       "    transfer_function              (period, output, input) complex128 (nan+na...\n",
       "    transfer_function_error        (period, output, input) float64 nan ... nan\n",
       "    transfer_function_model_error  (period, output, input) float64 nan ... nan\n",
       "    inverse_signal_power           (period, output, input) complex128 (nan+na...\n",
       "    residual_covariance            (period, output, input) complex128 (7.7123...\n",
       "Attributes: (12/14)\n",
       "    survey:             BOULIA\n",
       "    project:            IEB\n",
       "    id:                 14-IEB0537A\n",
       "    name:               None\n",
       "    latitude:           -22.823722222222223\n",
       "    longitude:          139.29469444444445\n",
       "    ...                 ...\n",
       "    datum:              WGS84\n",
       "    acquired_by:        Phoenix\n",
       "    start:              2014-07-28T02:57:00+00:00\n",
       "    end:                2014-07-28T23:38:25+00:00\n",
       "    runs_processed:     ['14-IEB0537Aa']\n",
       "    coordinate_system:  geographic"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tf_object.dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e2d465a-58f0-4c32-8240-7685dc42a6c9",
   "metadata": {},
   "source": [
    "### Common output by Metronix Geophysics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "5f020803-d94a-436b-92c9-3438971c553d",
   "metadata": {},
   "outputs": [],
   "source": [
    "from mt_metadata import TF_EDI_METRONIX"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "56e2b305-a148-4ad5-ac27-54d3b9effb23",
   "metadata": {},
   "outputs": [],
   "source": [
    "tf_object = TF(fn=TF_EDI_METRONIX)\n",
    "tf_object.read()\n",
    "edi_object = EDI(fn=TF_EDI_METRONIX)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "0a527302-7c29-4102-98fa-afaf8f3ffd97",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      ">HEAD\n",
      "\tACQBY=Metronix\n",
      "\tACQDATE=2014-08-17T04:58:00+00:00\n",
      "\tCOORDINATE_SYSTEM=geographic\n",
      "\tCOUNTRY=Germany\n",
      "\tDATAID=GEO858\n",
      "\tDATUM=WGS84\n",
      "\tELEV=181.000\n",
      "\tEMPTY=1e+32\n",
      "\tENDDATE=2014-08-17T20:03:00+00:00\n",
      "\tFILEBY=Metronix\n",
      "\tFILEDATE=2023-03-16\n",
      "\tLAT=22:41:28.96\n",
      "\tLON=139:42:18.14\n",
      "\tPROGDATE=2021-12-01\n",
      "\tPROGNAME=mt_metadata\n",
      "\tPROGVERS=0.2.2\n",
      "\tSTATE=LX\n",
      "\tSTDVERS=SEG 1.0\n",
      "\tUNITS=millivolts_per_kilometer_per_nanotesla\n",
      "\n",
      "\n",
      ">INFO\n",
      "\n",
      "\n",
      ">=DEFINEMEAS\n",
      "    MAXCHAN=9\n",
      "    MAXRUN=999\n",
      "    MAXMEAS=1000\n",
      "    REFLOC=Braunschweig\n",
      "    REFLAT=22.691378\n",
      "    REFLON=139.705040\n",
      "    REFELEV=181.0\n",
      "    REFTYPE=CART\n",
      "    UNITS=m\n",
      "\n",
      ">EMEAS ID=1000.0001 CHTYPE=EX X=-50.00 Y=0.00 Z=0.00 X2=50.00 Y2=0.00 Z2=0.00 AZM=0.00 ACQCHAN=0.0\n",
      ">EMEAS ID=1001.0001 CHTYPE=EY X=0.00 Y=-50.00 Z=0.00 X2=0.00 Y2=50.00 Z2=0.00 AZM=90.00 ACQCHAN=0.0\n",
      ">HMEAS ID=1002.0001 CHTYPE=HX X=0.00 Y=0.00 Z=0.00 AZM=0.00 DIP=0.00 ACQCHAN=0.0\n",
      ">HMEAS ID=1003.0001 CHTYPE=HY X=0.00 Y=0.00 Z=0.00 AZM=0.00 DIP=0.00 ACQCHAN=0.0\n",
      ">HMEAS ID=1004.0001 CHTYPE=HZ X=0.00 Y=0.00 Z=0.00 AZM=0.00 DIP=0.00 ACQCHAN=0.0\n",
      "\n",
      "\n",
      ">=MTSECT\n",
      "    NFREQ=73\n",
      "    SECTID=GEO858\n",
      "    NCHAN=0\n",
      "    MAXBLKS=999\n",
      "    EX=1000.0001\n",
      "    EY=1001.0001\n",
      "    HX=1002.0001\n",
      "    HY=1003.0001\n",
      "    HZ=1004.0001\n",
      "    RRHX=0\n",
      "    RRHY=0\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(edi_object.Header)\n",
    "print(edi_object.Info)\n",
    "print(edi_object.Measurement)\n",
    "print(edi_object.Data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "cd0afb4c-f6e4-4c0d-92a7-199cebac6ee5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Station: GEO858\n",
      "--------------------------------------------------\n",
      "\tSurvey:            None\n",
      "\tProject:           None\n",
      "\tAcquired by:       Metronix\n",
      "\tAcquired date:     2014-08-17\n",
      "\tLatitude:          22.691\n",
      "\tLongitude:         139.705\n",
      "\tElevation:         181.000\n",
      "\tDeclination:   \n",
      "\t\tValue:     0.0\n",
      "\t\tModel:     WMM\n",
      "\tCoordinate System: geographic\n",
      "\tImpedance:         True\n",
      "\tTipper:            True\n",
      "\tN Periods:     73\n",
      "\tPeriod Range:\n",
      "\t\tMin:   5.15464E-03 s\n",
      "\t\tMax:   1.44928E+03 s\n",
      "\tFrequency Range:\n",
      "\t\tMin:   6.90000E-04 Hz\n",
      "\t\tMax:   1.94000E+02 Hz\n"
     ]
    }
   ],
   "source": [
    "print(tf_object)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "eebd622e-30cc-461b-ad69-bd464724f4f8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{\n",
       "    \"station\": {\n",
       "        \"acquired_by.author\": \"Metronix\",\n",
       "        \"channels_recorded\": [\n",
       "            \"ex\",\n",
       "            \"ey\",\n",
       "            \"hx\",\n",
       "            \"hy\",\n",
       "            \"hz\",\n",
       "            \"rrhx\",\n",
       "            \"rrhy\"\n",
       "        ],\n",
       "        \"data_type\": \"MT\",\n",
       "        \"geographic_name\": null,\n",
       "        \"id\": \"GEO858\",\n",
       "        \"location.datum\": \"WGS84\",\n",
       "        \"location.declination.model\": \"WMM\",\n",
       "        \"location.declination.value\": 0.0,\n",
       "        \"location.elevation\": 181.0,\n",
       "        \"location.latitude\": 22.691378333333333,\n",
       "        \"location.longitude\": 139.70504,\n",
       "        \"orientation.method\": null,\n",
       "        \"orientation.reference_frame\": \"geographic\",\n",
       "        \"provenance.creation_time\": \"2014-10-17T00:00:00+00:00\",\n",
       "        \"provenance.software.author\": null,\n",
       "        \"provenance.software.name\": \"Metronix\",\n",
       "        \"provenance.software.version\": \"Version 14 AUG 2014 SVN 1277 MINGW64\",\n",
       "        \"provenance.submitter.author\": \"Metronix\",\n",
       "        \"provenance.submitter.email\": null,\n",
       "        \"provenance.submitter.organization\": null,\n",
       "        \"release_license\": \"CC0-1.0\",\n",
       "        \"run_list\": [\n",
       "            \"GEO858a\"\n",
       "        ],\n",
       "        \"time_period.end\": \"2014-08-17T20:03:00+00:00\",\n",
       "        \"time_period.start\": \"2014-08-17T04:58:00+00:00\",\n",
       "        \"transfer_function.coordinate_system\": \"geopgraphic\",\n",
       "        \"transfer_function.id\": \"GEO858\",\n",
       "        \"transfer_function.processed_date\": null,\n",
       "        \"transfer_function.processing_parameters\": [],\n",
       "        \"transfer_function.remote_references\": [],\n",
       "        \"transfer_function.runs_processed\": [\n",
       "            \"GEO858a\"\n",
       "        ],\n",
       "        \"transfer_function.sign_convention\": null,\n",
       "        \"transfer_function.units\": null\n",
       "    }\n",
       "}"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tf_object.station_metadata"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "dba0754b-42e4-41e9-85a4-f3f4d277d861",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{\n",
       "    \"survey\": {\n",
       "        \"acquired_by.author\": \"Metronix\",\n",
       "        \"citation_dataset.doi\": null,\n",
       "        \"citation_journal.doi\": null,\n",
       "        \"country\": [\n",
       "            \"Germany\"\n",
       "        ],\n",
       "        \"datum\": \"WGS84\",\n",
       "        \"geographic_name\": null,\n",
       "        \"id\": null,\n",
       "        \"name\": null,\n",
       "        \"northwest_corner.latitude\": 0.0,\n",
       "        \"northwest_corner.longitude\": 0.0,\n",
       "        \"project\": null,\n",
       "        \"project_lead.email\": null,\n",
       "        \"project_lead.organization\": null,\n",
       "        \"release_license\": \"CC0-1.0\",\n",
       "        \"southeast_corner.latitude\": 0.0,\n",
       "        \"southeast_corner.longitude\": 0.0,\n",
       "        \"summary\": null,\n",
       "        \"time_period.end_date\": \"1980-01-01\",\n",
       "        \"time_period.start_date\": \"1980-01-01\"\n",
       "    }\n",
       "}"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tf_object.survey_metadata"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "3bada7fc-7771-4074-90b1-84a7720adbe2",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
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       "\n",
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       "\n",
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       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:                        (period: 73, output: 5, input: 5)\n",
       "Coordinates:\n",
       "  * period                         (period) float64 0.005155 ... 1.449e+03\n",
       "  * output                         (output) &lt;U2 &#x27;ex&#x27; &#x27;ey&#x27; &#x27;hx&#x27; &#x27;hy&#x27; &#x27;hz&#x27;\n",
       "  * input                          (input) &lt;U2 &#x27;ex&#x27; &#x27;ey&#x27; &#x27;hx&#x27; &#x27;hy&#x27; &#x27;hz&#x27;\n",
       "Data variables:\n",
       "    transfer_function              (period, output, input) complex128 (nan+na...\n",
       "    transfer_function_error        (period, output, input) float64 nan ... nan\n",
       "    transfer_function_model_error  (period, output, input) float64 nan ... nan\n",
       "    inverse_signal_power           (period, output, input) complex128 (nan+na...\n",
       "    residual_covariance            (period, output, input) complex128 0j ... 0j\n",
       "Attributes: (12/14)\n",
       "    survey:             None\n",
       "    project:            None\n",
       "    id:                 GEO858\n",
       "    name:               None\n",
       "    latitude:           22.691378333333333\n",
       "    longitude:          139.70504\n",
       "    ...                 ...\n",
       "    datum:              WGS84\n",
       "    acquired_by:        Metronix\n",
       "    start:              2014-08-17T04:58:00+00:00\n",
       "    end:                2014-08-17T20:03:00+00:00\n",
       "    runs_processed:     [&#x27;GEO858a&#x27;]\n",
       "    coordinate_system:  geographic</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-12707774-ee8c-4529-96d8-6670c6fe37aa' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-12707774-ee8c-4529-96d8-6670c6fe37aa' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>period</span>: 73</li><li><span class='xr-has-index'>output</span>: 5</li><li><span class='xr-has-index'>input</span>: 5</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-1364660d-73be-49e7-981f-f5c0f1f6f5d8' class='xr-section-summary-in' type='checkbox'  checked><label for='section-1364660d-73be-49e7-981f-f5c0f1f6f5d8' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>period</span></div><div class='xr-var-dims'>(period)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.005155 0.006289 ... 1.449e+03</div><input id='attrs-b2c99aa5-6819-4649-8d0c-c423a2c6deb2' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-b2c99aa5-6819-4649-8d0c-c423a2c6deb2' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-9b20e45f-f010-4951-aa05-c4d6c001f056' class='xr-var-data-in' type='checkbox'><label for='data-9b20e45f-f010-4951-aa05-c4d6c001f056' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([5.154639e-03, 6.289308e-03, 7.575758e-03, 8.695652e-03, 1.030928e-02,\n",
       "       1.265823e-02, 1.515152e-02, 1.754386e-02, 2.040816e-02, 2.500000e-02,\n",
       "       3.030303e-02, 3.636364e-02, 4.444444e-02, 5.319149e-02, 6.172840e-02,\n",
       "       7.299270e-02, 8.928571e-02, 1.063830e-01, 1.234568e-01, 1.449275e-01,\n",
       "       1.785714e-01, 2.127660e-01, 2.439024e-01, 2.941176e-01, 3.558719e-01,\n",
       "       4.273504e-01, 4.926108e-01, 5.813953e-01, 7.092199e-01, 8.547009e-01,\n",
       "       9.803922e-01, 1.162791e+00, 1.428571e+00, 1.694915e+00, 1.960784e+00,\n",
       "       2.325581e+00, 2.857143e+00, 3.412969e+00, 3.937008e+00, 4.651163e+00,\n",
       "       5.681818e+00, 6.849315e+00, 7.874016e+00, 9.345794e+00, 1.136364e+01,\n",
       "       1.369863e+01, 1.587301e+01, 1.851852e+01, 2.272727e+01, 2.702703e+01,\n",
       "       3.125000e+01, 3.717472e+01, 4.545455e+01, 5.464481e+01, 6.289308e+01,\n",
       "       7.462687e+01, 9.090909e+01, 1.086957e+02, 1.265823e+02, 1.492537e+02,\n",
       "       1.818182e+02, 2.173913e+02, 2.499999e+02, 2.941176e+02, 3.636364e+02,\n",
       "       4.366812e+02, 5.050505e+02, 5.952381e+02, 7.299270e+02, 8.771930e+02,\n",
       "       1.010101e+03, 1.190476e+03, 1.449275e+03])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>output</span></div><div class='xr-var-dims'>(output)</div><div class='xr-var-dtype'>&lt;U2</div><div class='xr-var-preview xr-preview'>&#x27;ex&#x27; &#x27;ey&#x27; &#x27;hx&#x27; &#x27;hy&#x27; &#x27;hz&#x27;</div><input id='attrs-2b0bcb9b-3732-487b-9f13-6ec2b53e11c4' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-2b0bcb9b-3732-487b-9f13-6ec2b53e11c4' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-2962540b-1a8d-41c9-a804-c609582fbadd' class='xr-var-data-in' type='checkbox'><label for='data-2962540b-1a8d-41c9-a804-c609582fbadd' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;ex&#x27;, &#x27;ey&#x27;, &#x27;hx&#x27;, &#x27;hy&#x27;, &#x27;hz&#x27;], dtype=&#x27;&lt;U2&#x27;)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>input</span></div><div class='xr-var-dims'>(input)</div><div class='xr-var-dtype'>&lt;U2</div><div class='xr-var-preview xr-preview'>&#x27;ex&#x27; &#x27;ey&#x27; &#x27;hx&#x27; &#x27;hy&#x27; &#x27;hz&#x27;</div><input id='attrs-c7f87220-a710-4ae4-b7df-f86c03578f2b' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c7f87220-a710-4ae4-b7df-f86c03578f2b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f4ec9867-0b79-4673-9ae4-9faad85d68c8' class='xr-var-data-in' type='checkbox'><label for='data-f4ec9867-0b79-4673-9ae4-9faad85d68c8' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;ex&#x27;, &#x27;ey&#x27;, &#x27;hx&#x27;, &#x27;hy&#x27;, &#x27;hz&#x27;], dtype=&#x27;&lt;U2&#x27;)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-377b7ebb-c47e-4c2e-b179-5f1bce7d1d39' class='xr-section-summary-in' type='checkbox'  checked><label for='section-377b7ebb-c47e-4c2e-b179-5f1bce7d1d39' class='xr-section-summary' >Data variables: <span>(5)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>transfer_function</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>complex128</div><div class='xr-var-preview xr-preview'>(nan+nanj) ... (nan+nanj)</div><input id='attrs-84c858be-e70b-4c4c-a4e4-659b4906daf3' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-84c858be-e70b-4c4c-a4e4-659b4906daf3' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-7df3cd7b-abe7-4afe-812e-bacdc30634bf' class='xr-var-data-in' type='checkbox'><label for='data-7df3cd7b-abe7-4afe-812e-bacdc30634bf' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "          4.89676091e+00-2.30614160e+00j,\n",
       "          5.29174123e+01+2.52945640e+01j,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "         -5.42118070e+01-2.28873276e+01j,\n",
       "         -2.28787389e+00+3.03657507e+00j,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "...\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "         -5.50074151e-01-1.52222219e+00j,\n",
       "          5.13352298e-01+4.01972964e-01j,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "          1.25876496e-01+7.38443690e-02j,\n",
       "         -1.45405653e-01-1.98991724e-01j,\n",
       "                     nan           +nanj]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>transfer_function_error</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan 0.9044 ... 0.05699 nan</div><input id='attrs-7b48f0fe-312a-45d6-8e3f-1898c9f5389a' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-7b48f0fe-312a-45d6-8e3f-1898c9f5389a' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-07166523-23f4-493d-bdda-ee92a889e8a2' class='xr-var-data-in' type='checkbox'><label for='data-07166523-23f4-493d-bdda-ee92a889e8a2' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[       nan,        nan, 0.90442572, 1.10805065,        nan],\n",
       "        [       nan,        nan, 1.22841418, 1.43885643,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan, 0.90442572, 1.10805065,        nan]],\n",
       "\n",
       "       [[       nan,        nan, 0.69062341, 0.81378507,        nan],\n",
       "        [       nan,        nan, 0.89352095, 1.14876357,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan, 0.69062341, 0.81378507,        nan]],\n",
       "\n",
       "       [[       nan,        nan, 0.56361647, 0.63390214,        nan],\n",
       "        [       nan,        nan, 0.67234602, 0.95495691,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan, 0.56361647, 0.63390214,        nan]],\n",
       "\n",
       "       ...,\n",
       "\n",
       "       [[       nan,        nan, 0.01959315, 0.12777347,        nan],\n",
       "        [       nan,        nan, 0.05014114, 0.10034735,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan, 0.01959315, 0.12777347,        nan]],\n",
       "\n",
       "       [[       nan,        nan, 0.03962408, 0.11941703,        nan],\n",
       "        [       nan,        nan, 0.17464828, 0.40917021,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan, 0.03962408, 0.11941703,        nan]],\n",
       "\n",
       "       [[       nan,        nan, 0.03231568, 0.05698815,        nan],\n",
       "        [       nan,        nan, 0.1090726 , 0.08184736,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan, 0.03231568, 0.05698815,        nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>transfer_function_model_error</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan 0.0 0.0 ... nan 0.0 0.0 nan</div><input id='attrs-4bdbe146-39f3-4569-af44-4bb8b42e0c43' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-4bdbe146-39f3-4569-af44-4bb8b42e0c43' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-5fc2025a-8113-40ed-bc3e-c9ef6480b3f2' class='xr-var-data-in' type='checkbox'><label for='data-5fc2025a-8113-40ed-bc3e-c9ef6480b3f2' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       ...,\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>inverse_signal_power</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>complex128</div><div class='xr-var-preview xr-preview'>(nan+nanj) ... (nan+nanj)</div><input id='attrs-9cc81585-095a-472e-8426-b6a99c8ec6cd' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-9cc81585-095a-472e-8426-b6a99c8ec6cd' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ba767256-bac2-408b-9f52-b47c4ac2f2da' class='xr-var-data-in' type='checkbox'><label for='data-ba767256-bac2-408b-9f52-b47c4ac2f2da' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj]],\n",
       "\n",
       "       [[nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj]],\n",
       "\n",
       "       [[nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj]],\n",
       "\n",
       "       ...,\n",
       "\n",
       "       [[nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj]],\n",
       "\n",
       "       [[nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj]],\n",
       "\n",
       "       [[nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>residual_covariance</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>complex128</div><div class='xr-var-preview xr-preview'>0j 0j (nan+nanj) ... (nan+nanj) 0j</div><input id='attrs-2e579773-e266-4572-be4c-6bfbbb39dc00' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-2e579773-e266-4572-be4c-6bfbbb39dc00' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-31e87d46-7441-440d-a871-296d88172799' class='xr-var-data-in' type='checkbox'><label for='data-31e87d46-7441-440d-a871-296d88172799' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j]],\n",
       "\n",
       "       [[ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j]],\n",
       "\n",
       "       [[ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j]],\n",
       "\n",
       "       ...,\n",
       "\n",
       "       [[ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j]],\n",
       "\n",
       "       [[ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j]],\n",
       "\n",
       "       [[ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j]]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-e14b2e87-e0fa-4e1e-bde4-ffd785f21b1d' class='xr-section-summary-in' type='checkbox'  ><label for='section-e14b2e87-e0fa-4e1e-bde4-ffd785f21b1d' class='xr-section-summary' >Attributes: <span>(14)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>survey :</span></dt><dd>None</dd><dt><span>project :</span></dt><dd>None</dd><dt><span>id :</span></dt><dd>GEO858</dd><dt><span>name :</span></dt><dd>None</dd><dt><span>latitude :</span></dt><dd>22.691378333333333</dd><dt><span>longitude :</span></dt><dd>139.70504</dd><dt><span>elevation :</span></dt><dd>181.0</dd><dt><span>declination :</span></dt><dd>0.0</dd><dt><span>datum :</span></dt><dd>WGS84</dd><dt><span>acquired_by :</span></dt><dd>Metronix</dd><dt><span>start :</span></dt><dd>2014-08-17T04:58:00+00:00</dd><dt><span>end :</span></dt><dd>2014-08-17T20:03:00+00:00</dd><dt><span>runs_processed :</span></dt><dd>[&#x27;GEO858a&#x27;]</dd><dt><span>coordinate_system :</span></dt><dd>geographic</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.Dataset>\n",
       "Dimensions:                        (period: 73, output: 5, input: 5)\n",
       "Coordinates:\n",
       "  * period                         (period) float64 0.005155 ... 1.449e+03\n",
       "  * output                         (output) <U2 'ex' 'ey' 'hx' 'hy' 'hz'\n",
       "  * input                          (input) <U2 'ex' 'ey' 'hx' 'hy' 'hz'\n",
       "Data variables:\n",
       "    transfer_function              (period, output, input) complex128 (nan+na...\n",
       "    transfer_function_error        (period, output, input) float64 nan ... nan\n",
       "    transfer_function_model_error  (period, output, input) float64 nan ... nan\n",
       "    inverse_signal_power           (period, output, input) complex128 (nan+na...\n",
       "    residual_covariance            (period, output, input) complex128 0j ... 0j\n",
       "Attributes: (12/14)\n",
       "    survey:             None\n",
       "    project:            None\n",
       "    id:                 GEO858\n",
       "    name:               None\n",
       "    latitude:           22.691378333333333\n",
       "    longitude:          139.70504\n",
       "    ...                 ...\n",
       "    datum:              WGS84\n",
       "    acquired_by:        Metronix\n",
       "    start:              2014-08-17T04:58:00+00:00\n",
       "    end:                2014-08-17T20:03:00+00:00\n",
       "    runs_processed:     ['GEO858a']\n",
       "    coordinate_system:  geographic"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tf_object.dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d403afd6-1273-4f2d-9492-4c73f5728567",
   "metadata": {},
   "source": [
    "### Common output by CGG"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "c4e19601-f4b4-4294-aedd-43cc50b1009b",
   "metadata": {},
   "outputs": [],
   "source": [
    "from mt_metadata import TF_EDI_CGG"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "3036c9f6-5e7a-40a5-9ae8-f4a8023daae9",
   "metadata": {},
   "outputs": [],
   "source": [
    "tf_object = TF(fn=TF_EDI_CGG)\n",
    "tf_object.read()\n",
    "edi_object = EDI(fn=TF_EDI_CGG)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "3d82bbdd-32ab-4506-85f5-03b52cecade8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      ">HEAD\n",
      "\tACQBY=GSC_CGG\n",
      "\tACQDATE=2014-06-05T00:00:00+00:00\n",
      "\tCOORDINATE_SYSTEM=geographic\n",
      "\tDATAID=TEST01\n",
      "\tDATUM=WGS84\n",
      "\tELEV=175.270\n",
      "\tEMPTY=1e+32\n",
      "\tFILEBY=None\n",
      "\tFILEDATE=2023-03-16\n",
      "\tLAT=-30:55:49.03\n",
      "\tLOC=Australia\n",
      "\tLON=127:13:45.23\n",
      "\tPROGDATE=2021-12-01\n",
      "\tPROGNAME=mt_metadata\n",
      "\tPROGVERS=0.2.2\n",
      "\tPROSPECT=EGC\n",
      "\tSTDVERS=SEG 1.0\n",
      "\tUNITS=M\n",
      "\n",
      "\n",
      ">INFO\n",
      "    H_SITE=E_SITE\n",
      "    PROCESSING PARAMETERS:\n",
      "    SITE INFO:\n",
      "\n",
      "\n",
      ">=DEFINEMEAS\n",
      "    MAXCHAN=999\n",
      "    MAXRUN=999\n",
      "    MAXMEAS=999\n",
      "    REFLOC=\"TEST01\"\n",
      "    REFLAT=-30.930285\n",
      "    REFLON=127.229230\n",
      "    REFELEV=175.27\n",
      "    REFTYPE=cartesian\n",
      "    UNITS=M\n",
      "\n",
      ">HMEAS ID=1001.001 CHTYPE=HX X=0.00 Y=0.00 Z=0.00 AZM=0.00 DIP=0.00 ACQCHAN=0.0\n",
      ">HMEAS ID=1002.001 CHTYPE=HY X=0.00 Y=0.00 Z=0.00 AZM=90.00 DIP=0.00 ACQCHAN=0.0\n",
      ">HMEAS ID=1003.001 CHTYPE=HZ X=0.00 Y=0.00 Z=0.00 AZM=0.00 DIP=0.00 ACQCHAN=0.0\n",
      ">EMEAS ID=1004.001 CHTYPE=EX X=0.00 Y=0.00 Z=0.00 X2=0.00 Y2=0.00 Z2=0.00 AZM=0.00 ACQCHAN=0.0\n",
      ">EMEAS ID=1005.001 CHTYPE=EY X=0.00 Y=0.00 Z=0.00 X2=0.00 Y2=0.00 Z2=0.00 AZM=0.00 ACQCHAN=0.0\n",
      ">HMEAS ID=1006.001 CHTYPE=RRHX X=0.00 Y=0.00 Z=0.00 AZM=0.00 DIP=0.00 ACQCHAN=0.0\n",
      ">HMEAS ID=1007.001 CHTYPE=RRHY X=0.00 Y=0.00 Z=0.00 AZM=90.00 DIP=0.00 ACQCHAN=0.0\n",
      "\n",
      "\n",
      ">=MTSECT\n",
      "    NFREQ=73\n",
      "    SECTID=None\n",
      "    NCHAN=0\n",
      "    MAXBLKS=999\n",
      "    EX=0\n",
      "    EY=0\n",
      "    HX=0\n",
      "    HY=0\n",
      "    HZ=0\n",
      "    RRHX=0\n",
      "    RRHY=0\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(edi_object.Header)\n",
    "print(edi_object.Info)\n",
    "print(edi_object.Measurement)\n",
    "print(edi_object.Data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "2154066a-f9ae-4c7c-96a3-62dadecceb4e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Station: TEST01\n",
      "--------------------------------------------------\n",
      "\tSurvey:            None\n",
      "\tProject:           EGC\n",
      "\tAcquired by:       GSC_CGG\n",
      "\tAcquired date:     2014-06-05\n",
      "\tLatitude:          -30.930\n",
      "\tLongitude:         127.229\n",
      "\tElevation:         175.270\n",
      "\tDeclination:   \n",
      "\t\tValue:     0.0\n",
      "\t\tModel:     WMM\n",
      "\tCoordinate System: geographic\n",
      "\tImpedance:         True\n",
      "\tTipper:            True\n",
      "\tN Periods:     73\n",
      "\tPeriod Range:\n",
      "\t\tMin:   1.21153E-03 s\n",
      "\t\tMax:   1.21153E+03 s\n",
      "\tFrequency Range:\n",
      "\t\tMin:   8.25404E-04 Hz\n",
      "\t\tMax:   8.25404E+02 Hz\n"
     ]
    }
   ],
   "source": [
    "print(tf_object)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "722a1e36-6e21-4bcc-86ad-adcedc4b08d3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{\n",
       "    \"station\": {\n",
       "        \"acquired_by.author\": \"GSC_CGG\",\n",
       "        \"channels_recorded\": [\n",
       "            \"ex\",\n",
       "            \"ey\",\n",
       "            \"hx\",\n",
       "            \"hy\",\n",
       "            \"hz\",\n",
       "            \"rrhx\",\n",
       "            \"rrhy\"\n",
       "        ],\n",
       "        \"comments\": \"H_SITE=E_SITE\\nPROCESSING PARAMETERS:\\nSITE INFO:\",\n",
       "        \"data_type\": \"MT\",\n",
       "        \"geographic_name\": null,\n",
       "        \"id\": \"TEST01\",\n",
       "        \"location.datum\": \"WGS84\",\n",
       "        \"location.declination.model\": \"WMM\",\n",
       "        \"location.declination.value\": 0.0,\n",
       "        \"location.elevation\": 175.27,\n",
       "        \"location.latitude\": -30.930285,\n",
       "        \"location.longitude\": 127.22923,\n",
       "        \"orientation.method\": null,\n",
       "        \"orientation.reference_frame\": \"geographic\",\n",
       "        \"provenance.creation_time\": \"2014-10-07T00:00:00+00:00\",\n",
       "        \"provenance.software.author\": null,\n",
       "        \"provenance.software.name\": null,\n",
       "        \"provenance.software.version\": \"Antlr3.Runtime:3.5.0.2;ContourEngine:1.0.41.8272;CoordinateSystemService:1.4.0.8439;DocumentCommon:1.4.0.8465;Fluent:2.1.0.0;GeoApi:1.7.0.0;hasp_net_windows:7.0.1.36183;Launcher:1.4.0.8471;MapDocument:1.4.0.8469;MTDocument:1.4.0.8459;MTDocumentDataProvider:1.4.0.8467;MTInversionCommon:1.4.0.8371;Ookii.Dialogs.Wpf:1.0.0.0;PlotElement:1.4.0.8466;PluginHost:1.4.0.8440;ProjNet:1.2.5085.21309;ShellEngine:1.4.0.8380;System.Windows.Interactivity:4.0.0.0;Utils:1.4.0.8449;Xceed.Wpf.AvalonDock:2.0.0.0;Xceed.Wpf.AvalonDock.Themes.Aero:2.0.0.0;Xceed.Wpf.Toolkit:1.9.0.0;\",\n",
       "        \"provenance.submitter.email\": null,\n",
       "        \"provenance.submitter.organization\": null,\n",
       "        \"release_license\": \"CC0-1.0\",\n",
       "        \"run_list\": [\n",
       "            \"TEST01a\"\n",
       "        ],\n",
       "        \"time_period.end\": \"1980-01-01T00:00:00+00:00\",\n",
       "        \"time_period.start\": \"2014-06-05T00:00:00+00:00\",\n",
       "        \"transfer_function.coordinate_system\": \"geopgraphic\",\n",
       "        \"transfer_function.id\": \"TEST01\",\n",
       "        \"transfer_function.processed_date\": null,\n",
       "        \"transfer_function.processing_parameters\": [\n",
       "            \"processing_parameters=[NDec=1, NFFT=128, Ntype=1, RRType=None, RemoveLargeLines=true, RotMaxE=false]\"\n",
       "        ],\n",
       "        \"transfer_function.remote_references\": [],\n",
       "        \"transfer_function.runs_processed\": [\n",
       "            \"TEST01a\"\n",
       "        ],\n",
       "        \"transfer_function.sign_convention\": null,\n",
       "        \"transfer_function.units\": null\n",
       "    }\n",
       "}"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tf_object.station_metadata"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "d1450cf3-cdf7-4b06-8cd3-229e5f1699c8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{\n",
       "    \"survey\": {\n",
       "        \"acquired_by.author\": \"GSC_CGG\",\n",
       "        \"citation_dataset.doi\": null,\n",
       "        \"citation_journal.doi\": null,\n",
       "        \"datum\": \"WGS84\",\n",
       "        \"geographic_name\": \"Australia\",\n",
       "        \"id\": null,\n",
       "        \"name\": null,\n",
       "        \"northwest_corner.latitude\": 0.0,\n",
       "        \"northwest_corner.longitude\": 0.0,\n",
       "        \"project\": \"EGC\",\n",
       "        \"project_lead.email\": null,\n",
       "        \"project_lead.organization\": null,\n",
       "        \"release_license\": \"CC0-1.0\",\n",
       "        \"southeast_corner.latitude\": 0.0,\n",
       "        \"southeast_corner.longitude\": 0.0,\n",
       "        \"summary\": null,\n",
       "        \"time_period.end_date\": \"1980-01-01\",\n",
       "        \"time_period.start_date\": \"1980-01-01\"\n",
       "    }\n",
       "}"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tf_object.survey_metadata"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "b544c8e4-c796-4470-a314-ff76cc4388b9",
   "metadata": {},
   "outputs": [
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       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2 {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:                        (period: 73, output: 5, input: 5)\n",
       "Coordinates:\n",
       "  * period                         (period) float64 0.001212 ... 1.212e+03\n",
       "  * output                         (output) &lt;U2 &#x27;ex&#x27; &#x27;ey&#x27; &#x27;hx&#x27; &#x27;hy&#x27; &#x27;hz&#x27;\n",
       "  * input                          (input) &lt;U2 &#x27;ex&#x27; &#x27;ey&#x27; &#x27;hx&#x27; &#x27;hy&#x27; &#x27;hz&#x27;\n",
       "Data variables:\n",
       "    transfer_function              (period, output, input) complex128 (nan+na...\n",
       "    transfer_function_error        (period, output, input) float64 nan ... nan\n",
       "    transfer_function_model_error  (period, output, input) float64 nan ... nan\n",
       "    inverse_signal_power           (period, output, input) complex128 (nan+na...\n",
       "    residual_covariance            (period, output, input) complex128 0j ... 0j\n",
       "Attributes: (12/14)\n",
       "    survey:             None\n",
       "    project:            EGC\n",
       "    id:                 TEST01\n",
       "    name:               None\n",
       "    latitude:           -30.930285\n",
       "    longitude:          127.22923\n",
       "    ...                 ...\n",
       "    datum:              WGS84\n",
       "    acquired_by:        GSC_CGG\n",
       "    start:              2014-06-05T00:00:00+00:00\n",
       "    end:                1980-01-01T00:00:00+00:00\n",
       "    runs_processed:     [&#x27;TEST01a&#x27;]\n",
       "    coordinate_system:  geographic</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-64c247df-3e26-49fe-affc-02464f3198e9' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-64c247df-3e26-49fe-affc-02464f3198e9' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>period</span>: 73</li><li><span class='xr-has-index'>output</span>: 5</li><li><span class='xr-has-index'>input</span>: 5</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-678ffbee-6167-4113-81cc-03f7edc4156d' class='xr-section-summary-in' type='checkbox'  checked><label for='section-678ffbee-6167-4113-81cc-03f7edc4156d' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>period</span></div><div class='xr-var-dims'>(period)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.001212 0.001468 ... 1.212e+03</div><input id='attrs-a1eb9be2-259f-4ecb-9cac-d57e73d07172' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a1eb9be2-259f-4ecb-9cac-d57e73d07172' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d61fc7f4-f4b5-4f61-8899-d767f3ed5f41' class='xr-var-data-in' type='checkbox'><label for='data-d61fc7f4-f4b5-4f61-8899-d767f3ed5f41' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([1.211527e-03, 1.467799e-03, 1.778279e-03, 2.154434e-03, 2.610157e-03,\n",
       "       3.162277e-03, 3.831186e-03, 4.641588e-03, 5.623415e-03, 6.812917e-03,\n",
       "       8.254040e-03, 1.000000e-02, 1.211528e-02, 1.467799e-02, 1.778279e-02,\n",
       "       2.154435e-02, 2.610156e-02, 3.162277e-02, 3.831187e-02, 4.641588e-02,\n",
       "       5.623411e-02, 6.812922e-02, 8.254040e-02, 1.000000e-01, 1.211527e-01,\n",
       "       1.467799e-01, 1.778279e-01, 2.154435e-01, 2.610157e-01, 3.162277e-01,\n",
       "       3.831186e-01, 4.641588e-01, 5.623411e-01, 6.812922e-01, 8.254040e-01,\n",
       "       1.000000e+00, 1.211527e+00, 1.467799e+00, 1.778279e+00, 2.154434e+00,\n",
       "       2.610156e+00, 3.162277e+00, 3.831186e+00, 4.641588e+00, 5.623411e+00,\n",
       "       6.812917e+00, 8.254040e+00, 1.000000e+01, 1.211528e+01, 1.467799e+01,\n",
       "       1.778279e+01, 2.154435e+01, 2.610156e+01, 3.162277e+01, 3.831187e+01,\n",
       "       4.641588e+01, 5.623411e+01, 6.812922e+01, 8.254040e+01, 1.000000e+02,\n",
       "       1.211527e+02, 1.467800e+02, 1.778279e+02, 2.154435e+02, 2.610158e+02,\n",
       "       3.162277e+02, 3.831186e+02, 4.641588e+02, 5.623411e+02, 6.812917e+02,\n",
       "       8.254046e+02, 1.000000e+03, 1.211527e+03])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>output</span></div><div class='xr-var-dims'>(output)</div><div class='xr-var-dtype'>&lt;U2</div><div class='xr-var-preview xr-preview'>&#x27;ex&#x27; &#x27;ey&#x27; &#x27;hx&#x27; &#x27;hy&#x27; &#x27;hz&#x27;</div><input id='attrs-569c6907-78f7-4e64-b60d-9139cf16c625' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-569c6907-78f7-4e64-b60d-9139cf16c625' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ae03a8cd-1217-4ba0-a3cc-c11a9ee5cd45' class='xr-var-data-in' type='checkbox'><label for='data-ae03a8cd-1217-4ba0-a3cc-c11a9ee5cd45' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;ex&#x27;, &#x27;ey&#x27;, &#x27;hx&#x27;, &#x27;hy&#x27;, &#x27;hz&#x27;], dtype=&#x27;&lt;U2&#x27;)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>input</span></div><div class='xr-var-dims'>(input)</div><div class='xr-var-dtype'>&lt;U2</div><div class='xr-var-preview xr-preview'>&#x27;ex&#x27; &#x27;ey&#x27; &#x27;hx&#x27; &#x27;hy&#x27; &#x27;hz&#x27;</div><input id='attrs-d1a93c26-9f57-4dfb-ba1c-ec916618a0f7' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d1a93c26-9f57-4dfb-ba1c-ec916618a0f7' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-71e9de1c-090d-4aae-931e-5535cb9774c5' class='xr-var-data-in' type='checkbox'><label for='data-71e9de1c-090d-4aae-931e-5535cb9774c5' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;ex&#x27;, &#x27;ey&#x27;, &#x27;hx&#x27;, &#x27;hy&#x27;, &#x27;hz&#x27;], dtype=&#x27;&lt;U2&#x27;)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-66871b61-e364-46b5-b9b2-71108e7ab9a2' class='xr-section-summary-in' type='checkbox'  checked><label for='section-66871b61-e364-46b5-b9b2-71108e7ab9a2' class='xr-section-summary' >Data variables: <span>(5)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>transfer_function</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>complex128</div><div class='xr-var-preview xr-preview'>(nan+nanj) ... (nan+nanj)</div><input id='attrs-e14fcd2f-0438-4db7-908c-ec1d2f7ac589' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-e14fcd2f-0438-4db7-908c-ec1d2f7ac589' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-2f8ac093-49d3-4739-92c4-fe1f06de857f' class='xr-var-data-in' type='checkbox'><label for='data-2f8ac093-49d3-4739-92c4-fe1f06de857f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[          nan         +nanj,           nan         +nanj,\n",
       "          0.000000e+00+0.000000e+00j,  2.296332e+02+3.642556e+02j,\n",
       "                   nan         +nanj],\n",
       "        [          nan         +nanj,           nan         +nanj,\n",
       "         -2.659383e+02-3.999264e+02j,  3.789239e+01+5.183288e+01j,\n",
       "                   nan         +nanj],\n",
       "        [          nan         +nanj,           nan         +nanj,\n",
       "                   nan         +nanj,           nan         +nanj,\n",
       "                   nan         +nanj],\n",
       "        [          nan         +nanj,           nan         +nanj,\n",
       "                   nan         +nanj,           nan         +nanj,\n",
       "                   nan         +nanj],\n",
       "        [          nan         +nanj,           nan         +nanj,\n",
       "         -3.543599e-02+2.209852e-02j,  4.430329e-03-7.482269e-03j,\n",
       "                   nan         +nanj]],\n",
       "\n",
       "       [[          nan         +nanj,           nan         +nanj,\n",
       "         -1.985181e+01-3.100412e+01j,  2.024686e+02+3.358583e+02j,\n",
       "                   nan         +nanj],\n",
       "        [          nan         +nanj,           nan         +nanj,\n",
       "...\n",
       "                   nan         +nanj],\n",
       "        [          nan         +nanj,           nan         +nanj,\n",
       "          1.537668e-01-2.093304e-01j, -1.424850e-01+1.064790e-03j,\n",
       "                   nan         +nanj]],\n",
       "\n",
       "       [[          nan         +nanj,           nan         +nanj,\n",
       "         -2.040479e-01-3.373980e-01j,  1.544559e+00+5.290533e-01j,\n",
       "                   nan         +nanj],\n",
       "        [          nan         +nanj,           nan         +nanj,\n",
       "         -4.140477e-01-6.702447e-01j,  5.327855e-01+1.537155e-01j,\n",
       "                   nan         +nanj],\n",
       "        [          nan         +nanj,           nan         +nanj,\n",
       "                   nan         +nanj,           nan         +nanj,\n",
       "                   nan         +nanj],\n",
       "        [          nan         +nanj,           nan         +nanj,\n",
       "                   nan         +nanj,           nan         +nanj,\n",
       "                   nan         +nanj],\n",
       "        [          nan         +nanj,           nan         +nanj,\n",
       "          1.577140e-01-1.944784e-01j, -1.387399e-01-3.120385e-03j,\n",
       "                   nan         +nanj]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>transfer_function_error</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan 0.3191 ... 0.008612 nan</div><input id='attrs-b0894e8e-e651-4964-a47c-2262e21b8e43' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-b0894e8e-e651-4964-a47c-2262e21b8e43' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8d9811a2-ecea-47d0-a659-e9066970b6fc' class='xr-var-data-in' type='checkbox'><label for='data-8d9811a2-ecea-47d0-a659-e9066970b6fc' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[           nan,            nan, 3.19126777e-01, 1.33110180e+00,\n",
       "                    nan],\n",
       "        [           nan,            nan, 1.73554746e+00, 9.14526818e-01,\n",
       "                    nan],\n",
       "        [           nan,            nan,            nan,            nan,\n",
       "                    nan],\n",
       "        [           nan,            nan,            nan,            nan,\n",
       "                    nan],\n",
       "        [           nan,            nan, 4.10227376e-04, 3.48164760e-04,\n",
       "                    nan]],\n",
       "\n",
       "       [[           nan,            nan, 5.48702196e-01, 1.15483895e+00,\n",
       "                    nan],\n",
       "        [           nan,            nan, 1.66242504e+00, 7.34153049e-01,\n",
       "                    nan],\n",
       "        [           nan,            nan,            nan,            nan,\n",
       "                    nan],\n",
       "        [           nan,            nan,            nan,            nan,\n",
       "                    nan],\n",
       "        [           nan,            nan, 4.77677506e-04, 3.82099856e-04,\n",
       "...\n",
       "                    nan],\n",
       "        [           nan,            nan, 2.72013143e-02, 1.76256518e-02,\n",
       "                    nan],\n",
       "        [           nan,            nan,            nan,            nan,\n",
       "                    nan],\n",
       "        [           nan,            nan,            nan,            nan,\n",
       "                    nan],\n",
       "        [           nan,            nan, 1.42785749e-02, 7.55993585e-03,\n",
       "                    nan]],\n",
       "\n",
       "       [[           nan,            nan, 2.18290495e-02, 2.22736189e-02,\n",
       "                    nan],\n",
       "        [           nan,            nan, 1.52771791e-02, 1.01017474e-02,\n",
       "                    nan],\n",
       "        [           nan,            nan,            nan,            nan,\n",
       "                    nan],\n",
       "        [           nan,            nan,            nan,            nan,\n",
       "                    nan],\n",
       "        [           nan,            nan, 1.49658645e-02, 8.61173734e-03,\n",
       "                    nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>transfer_function_model_error</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan 0.0 0.0 ... nan 0.0 0.0 nan</div><input id='attrs-95c391c9-1640-4a74-a6eb-5f5938e1259d' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-95c391c9-1640-4a74-a6eb-5f5938e1259d' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-898bfae2-f609-4f17-bc41-e3d55ff8bee1' class='xr-var-data-in' type='checkbox'><label for='data-898bfae2-f609-4f17-bc41-e3d55ff8bee1' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       ...,\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>inverse_signal_power</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>complex128</div><div class='xr-var-preview xr-preview'>(nan+nanj) ... (nan+nanj)</div><input id='attrs-a88bdc10-da94-4035-a899-474e786391ef' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a88bdc10-da94-4035-a899-474e786391ef' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c8600ace-587a-44a9-be1a-484122ca3ded' class='xr-var-data-in' type='checkbox'><label for='data-c8600ace-587a-44a9-be1a-484122ca3ded' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj]],\n",
       "\n",
       "       [[nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj]],\n",
       "\n",
       "       [[nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj]],\n",
       "\n",
       "       ...,\n",
       "\n",
       "       [[nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj]],\n",
       "\n",
       "       [[nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj]],\n",
       "\n",
       "       [[nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj,  0. +0.j,  0. +0.j, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>residual_covariance</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>complex128</div><div class='xr-var-preview xr-preview'>0j 0j (nan+nanj) ... (nan+nanj) 0j</div><input id='attrs-326843b7-9230-4c5b-a0f4-2659ac736540' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-326843b7-9230-4c5b-a0f4-2659ac736540' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-3c433a3d-cc4a-4663-a771-99330d7979e5' class='xr-var-data-in' type='checkbox'><label for='data-3c433a3d-cc4a-4663-a771-99330d7979e5' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j]],\n",
       "\n",
       "       [[ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j]],\n",
       "\n",
       "       [[ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j]],\n",
       "\n",
       "       ...,\n",
       "\n",
       "       [[ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j]],\n",
       "\n",
       "       [[ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j]],\n",
       "\n",
       "       [[ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [nan+nanj, nan+nanj, nan+nanj, nan+nanj, nan+nanj],\n",
       "        [ 0. +0.j,  0. +0.j, nan+nanj, nan+nanj,  0. +0.j]]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-21056f6b-5ce8-4887-8c53-d27ba57ef2ee' class='xr-section-summary-in' type='checkbox'  ><label for='section-21056f6b-5ce8-4887-8c53-d27ba57ef2ee' class='xr-section-summary' >Attributes: <span>(14)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>survey :</span></dt><dd>None</dd><dt><span>project :</span></dt><dd>EGC</dd><dt><span>id :</span></dt><dd>TEST01</dd><dt><span>name :</span></dt><dd>None</dd><dt><span>latitude :</span></dt><dd>-30.930285</dd><dt><span>longitude :</span></dt><dd>127.22923</dd><dt><span>elevation :</span></dt><dd>175.27</dd><dt><span>declination :</span></dt><dd>0.0</dd><dt><span>datum :</span></dt><dd>WGS84</dd><dt><span>acquired_by :</span></dt><dd>GSC_CGG</dd><dt><span>start :</span></dt><dd>2014-06-05T00:00:00+00:00</dd><dt><span>end :</span></dt><dd>1980-01-01T00:00:00+00:00</dd><dt><span>runs_processed :</span></dt><dd>[&#x27;TEST01a&#x27;]</dd><dt><span>coordinate_system :</span></dt><dd>geographic</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.Dataset>\n",
       "Dimensions:                        (period: 73, output: 5, input: 5)\n",
       "Coordinates:\n",
       "  * period                         (period) float64 0.001212 ... 1.212e+03\n",
       "  * output                         (output) <U2 'ex' 'ey' 'hx' 'hy' 'hz'\n",
       "  * input                          (input) <U2 'ex' 'ey' 'hx' 'hy' 'hz'\n",
       "Data variables:\n",
       "    transfer_function              (period, output, input) complex128 (nan+na...\n",
       "    transfer_function_error        (period, output, input) float64 nan ... nan\n",
       "    transfer_function_model_error  (period, output, input) float64 nan ... nan\n",
       "    inverse_signal_power           (period, output, input) complex128 (nan+na...\n",
       "    residual_covariance            (period, output, input) complex128 0j ... 0j\n",
       "Attributes: (12/14)\n",
       "    survey:             None\n",
       "    project:            EGC\n",
       "    id:                 TEST01\n",
       "    name:               None\n",
       "    latitude:           -30.930285\n",
       "    longitude:          127.22923\n",
       "    ...                 ...\n",
       "    datum:              WGS84\n",
       "    acquired_by:        GSC_CGG\n",
       "    start:              2014-06-05T00:00:00+00:00\n",
       "    end:                1980-01-01T00:00:00+00:00\n",
       "    runs_processed:     ['TEST01a']\n",
       "    coordinate_system:  geographic"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tf_object.dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c1312ee5-77f2-41ec-b727-6e2ee56d1d23",
   "metadata": {},
   "source": [
    "### Transfer Functions represented as Spectra\n",
    "The spectra conversion is adopted from Anna Kelbert's [EMTF fortran code](https://software.seg.org/2020/0001/).  This computes the `inverse_signal_power` and `residual_covariance` estimates for the errors to accurately estimate error upon rotation.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "e7063078-d7b9-4579-adb8-d288272cb48a",
   "metadata": {},
   "outputs": [],
   "source": [
    "from mt_metadata import TF_EDI_SPECTRA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "690bd5e9-ffe1-4a68-aec3-98e962c6c226",
   "metadata": {},
   "outputs": [],
   "source": [
    "tf_object = TF(fn=TF_EDI_SPECTRA)\n",
    "tf_object.read()\n",
    "edi_object = EDI(fn=TF_EDI_SPECTRA)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "b2a3d3d7-3266-42ea-b884-ddf9a0edfd2b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      ">HEAD\n",
      "\tACQBY=Quantec Consulting\n",
      "\tACQDATE=2004-07-03T00:00:00+00:00\n",
      "\tCOORDINATE_SYSTEM=geographic\n",
      "\tCOUNTRY=USA\n",
      "\tCOUNTY=Santa Fe\n",
      "\tDATAID=SAGE_2005\n",
      "\tDATUM=WGS84\n",
      "\tELEV=0.000\n",
      "\tEMPTY=1e+32\n",
      "\tENDDATE=2004-07-06T00:00:00+00:00\n",
      "\tFILEBY=Quantec Consulting\n",
      "\tFILEDATE=2023-03-16\n",
      "\tLAT=35:33:00.00\n",
      "\tLON=-106:17:00.00\n",
      "\tPROGDATE=2021-12-01\n",
      "\tPROGNAME=mt_metadata\n",
      "\tPROGVERS=0.2.2\n",
      "\tSTATE=New Mexico\n",
      "\tSTDVERS=1.0\n",
      "\tUNITS=M\n",
      "\n",
      "\n",
      ">INFO\n",
      "    MAXLINES=1000\n",
      "\n",
      "\n",
      ">=DEFINEMEAS\n",
      "    MAXCHAN=7\n",
      "    MAXRUN=999\n",
      "    MAXMEAS=99999\n",
      "    REFLAT=35.550000\n",
      "    REFLON=-106.283333\n",
      "    REFELEV=0.0\n",
      "    REFTYPE=cartesian\n",
      "    UNITS=M\n",
      "\n",
      ">HMEAS ID=11.001 CHTYPE=HX X=4858.00 Y=-3530.00 Z=0.00 AZM=107.00 DIP=0.00 ACQCHAN=0.0\n",
      ">HMEAS ID=11.001 CHTYPE=RRHX X=4858.00 Y=-3530.00 Z=0.00 AZM=107.00 DIP=0.00 ACQCHAN=0.0\n",
      ">HMEAS ID=12.001 CHTYPE=HY X=4858.00 Y=-3530.00 Z=0.00 AZM=-163.00 DIP=0.00 ACQCHAN=0.0\n",
      ">HMEAS ID=12.001 CHTYPE=RRHY X=4858.00 Y=-3530.00 Z=0.00 AZM=-163.00 DIP=0.00 ACQCHAN=0.0\n",
      ">HMEAS ID=13.001 CHTYPE=HZ X=4858.00 Y=-3530.00 Z=0.00 AZM=0.00 DIP=0.00 ACQCHAN=0.0\n",
      ">EMEAS ID=14.001 CHTYPE=EX X=4872.00 Y=-3577.00 Z=0.00 X2=4843.00 Y2=-3482.00 Z2=0.00 AZM=106.98 ACQCHAN=0.0\n",
      ">EMEAS ID=15.001 CHTYPE=EY X=4906.00 Y=-3515.00 Z=0.00 X2=4810.00 Y2=-3544.00 Z2=0.00 AZM=-163.19 ACQCHAN=0.0\n",
      "\n",
      "\n",
      ">=MTSECT\n",
      "    NFREQ=33\n",
      "    SECTID=Ex\n",
      "    NCHAN=7\n",
      "    MAXBLKS=100\n",
      "    HX=11.001\n",
      "    HY=12.001\n",
      "    HZ=13.001\n",
      "    EX=14.001\n",
      "    EY=15.001\n",
      "    RRHX=11.001\n",
      "    RRHY=12.001\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(edi_object.Header)\n",
    "print(edi_object.Info)\n",
    "print(edi_object.Measurement)\n",
    "print(edi_object.Data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "0404bf2e-7f5a-49af-afc0-caf1f202c33d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Station: SAGE_2005\n",
      "--------------------------------------------------\n",
      "\tSurvey:            None\n",
      "\tProject:           None\n",
      "\tAcquired by:       Quantec Consulting\n",
      "\tAcquired date:     2004-07-03\n",
      "\tLatitude:          35.550\n",
      "\tLongitude:         -106.283\n",
      "\tElevation:         0.000\n",
      "\tDeclination:   \n",
      "\t\tValue:     0.0\n",
      "\t\tModel:     WMM\n",
      "\tCoordinate System: geographic\n",
      "\tImpedance:         True\n",
      "\tTipper:            True\n",
      "\tN Periods:     33\n",
      "\tPeriod Range:\n",
      "\t\tMin:   4.19639E-03 s\n",
      "\t\tMax:   2.09732E+02 s\n",
      "\tFrequency Range:\n",
      "\t\tMin:   4.76800E-03 Hz\n",
      "\t\tMax:   2.38300E+02 Hz\n"
     ]
    }
   ],
   "source": [
    "print(tf_object)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "8d19adb3-0a55-45d2-a8a9-6e893d127081",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{\n",
       "    \"station\": {\n",
       "        \"acquired_by.author\": \"Quantec Consulting\",\n",
       "        \"channels_recorded\": [\n",
       "            \"ex\",\n",
       "            \"ey\",\n",
       "            \"hx\",\n",
       "            \"hy\",\n",
       "            \"hz\",\n",
       "            \"rrhx\",\n",
       "            \"rrhy\"\n",
       "        ],\n",
       "        \"comments\": \"MAXLINES=1000\",\n",
       "        \"data_type\": \"MT\",\n",
       "        \"geographic_name\": null,\n",
       "        \"id\": \"SAGE_2005\",\n",
       "        \"location.datum\": \"WGS84\",\n",
       "        \"location.declination.model\": \"WMM\",\n",
       "        \"location.declination.value\": 0.0,\n",
       "        \"location.elevation\": 0.0,\n",
       "        \"location.latitude\": 35.55,\n",
       "        \"location.longitude\": -106.28333333333333,\n",
       "        \"orientation.method\": null,\n",
       "        \"orientation.reference_frame\": \"geographic\",\n",
       "        \"provenance.creation_time\": \"2001-01-31T00:00:00+00:00\",\n",
       "        \"provenance.software.author\": null,\n",
       "        \"provenance.software.name\": \"Quantec Consulting\",\n",
       "        \"provenance.software.version\": \"GEOTOOLS_2.3\",\n",
       "        \"provenance.submitter.author\": \"Quantec Consulting\",\n",
       "        \"provenance.submitter.email\": null,\n",
       "        \"provenance.submitter.organization\": null,\n",
       "        \"release_license\": \"CC0-1.0\",\n",
       "        \"run_list\": [\n",
       "            \"SAGE_2005a\"\n",
       "        ],\n",
       "        \"time_period.end\": \"2004-07-06T00:00:00+00:00\",\n",
       "        \"time_period.start\": \"2004-07-03T00:00:00+00:00\",\n",
       "        \"transfer_function.coordinate_system\": \"geopgraphic\",\n",
       "        \"transfer_function.id\": \"SAGE_2005\",\n",
       "        \"transfer_function.processed_date\": null,\n",
       "        \"transfer_function.processing_parameters\": [],\n",
       "        \"transfer_function.remote_references\": [],\n",
       "        \"transfer_function.runs_processed\": [\n",
       "            \"SAGE_2005a\"\n",
       "        ],\n",
       "        \"transfer_function.sign_convention\": null,\n",
       "        \"transfer_function.units\": null\n",
       "    }\n",
       "}"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tf_object.station_metadata"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "e37fd868-978e-45ad-b27d-9671794de62d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{\n",
       "    \"survey\": {\n",
       "        \"acquired_by.author\": \"Quantec Consulting\",\n",
       "        \"citation_dataset.doi\": null,\n",
       "        \"citation_journal.doi\": null,\n",
       "        \"country\": [\n",
       "            \"USA\"\n",
       "        ],\n",
       "        \"datum\": \"WGS84\",\n",
       "        \"geographic_name\": null,\n",
       "        \"id\": null,\n",
       "        \"name\": null,\n",
       "        \"northwest_corner.latitude\": 0.0,\n",
       "        \"northwest_corner.longitude\": 0.0,\n",
       "        \"project\": null,\n",
       "        \"project_lead.email\": null,\n",
       "        \"project_lead.organization\": null,\n",
       "        \"release_license\": \"CC0-1.0\",\n",
       "        \"southeast_corner.latitude\": 0.0,\n",
       "        \"southeast_corner.longitude\": 0.0,\n",
       "        \"summary\": null,\n",
       "        \"time_period.end_date\": \"1980-01-01\",\n",
       "        \"time_period.start_date\": \"1980-01-01\"\n",
       "    }\n",
       "}"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tf_object.survey_metadata"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "0322b96b-26e8-46a7-bc73-9351939850eb",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "\n",
       ".xr-attrs dt {\n",
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       "\n",
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       "\n",
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       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:                        (period: 33, output: 5, input: 5)\n",
       "Coordinates:\n",
       "  * period                         (period) float64 0.004196 0.005952 ... 209.7\n",
       "  * output                         (output) &lt;U2 &#x27;ex&#x27; &#x27;ey&#x27; &#x27;hx&#x27; &#x27;hy&#x27; &#x27;hz&#x27;\n",
       "  * input                          (input) &lt;U2 &#x27;ex&#x27; &#x27;ey&#x27; &#x27;hx&#x27; &#x27;hy&#x27; &#x27;hz&#x27;\n",
       "Data variables:\n",
       "    transfer_function              (period, output, input) complex128 (nan+na...\n",
       "    transfer_function_error        (period, output, input) float64 nan ... nan\n",
       "    transfer_function_model_error  (period, output, input) float64 nan ... nan\n",
       "    inverse_signal_power           (period, output, input) complex128 (nan+na...\n",
       "    residual_covariance            (period, output, input) complex128 (0.0062...\n",
       "Attributes: (12/14)\n",
       "    survey:             None\n",
       "    project:            None\n",
       "    id:                 SAGE_2005\n",
       "    name:               None\n",
       "    latitude:           35.55\n",
       "    longitude:          -106.28333333333333\n",
       "    ...                 ...\n",
       "    datum:              WGS84\n",
       "    acquired_by:        Quantec Consulting\n",
       "    start:              2004-07-03T00:00:00+00:00\n",
       "    end:                2004-07-06T00:00:00+00:00\n",
       "    runs_processed:     [&#x27;SAGE_2005a&#x27;]\n",
       "    coordinate_system:  geographic</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-fa18d091-706d-40e9-b8d6-9b2443297298' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-fa18d091-706d-40e9-b8d6-9b2443297298' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>period</span>: 33</li><li><span class='xr-has-index'>output</span>: 5</li><li><span class='xr-has-index'>input</span>: 5</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-06d0e4f5-1e76-467e-b1c5-513cc0f5bec2' class='xr-section-summary-in' type='checkbox'  checked><label for='section-06d0e4f5-1e76-467e-b1c5-513cc0f5bec2' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>period</span></div><div class='xr-var-dims'>(period)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.004196 0.005952 ... 149.8 209.7</div><input id='attrs-b8fb280b-537d-4a02-8585-e22ccee845a8' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-b8fb280b-537d-4a02-8585-e22ccee845a8' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-01a582b7-f498-4376-a0d1-05797c56125b' class='xr-var-data-in' type='checkbox'><label for='data-01a582b7-f498-4376-a0d1-05797c56125b' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([4.196391e-03, 5.952381e-03, 8.826125e-03, 1.219066e-02, 1.678697e-02,\n",
       "       2.381519e-02, 3.531073e-02, 4.875670e-02, 6.715917e-02, 9.523810e-02,\n",
       "       1.412429e-01, 1.950458e-01, 2.686006e-01, 3.809524e-01, 5.649718e-01,\n",
       "       7.800312e-01, 1.074345e+00, 1.524158e+00, 2.259887e+00, 3.121099e+00,\n",
       "       4.297379e+00, 6.097561e+00, 9.041591e+00, 1.248284e+01, 1.719099e+01,\n",
       "       2.184360e+01, 2.621232e+01, 3.615329e+01, 4.992511e+01, 7.490637e+01,\n",
       "       1.048548e+02, 1.497903e+02, 2.097315e+02])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>output</span></div><div class='xr-var-dims'>(output)</div><div class='xr-var-dtype'>&lt;U2</div><div class='xr-var-preview xr-preview'>&#x27;ex&#x27; &#x27;ey&#x27; &#x27;hx&#x27; &#x27;hy&#x27; &#x27;hz&#x27;</div><input id='attrs-1612bcc7-46a6-4aea-8791-eaf1545e78ec' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-1612bcc7-46a6-4aea-8791-eaf1545e78ec' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ed52924c-cfd3-452e-8af6-a8e7cc21ab55' class='xr-var-data-in' type='checkbox'><label for='data-ed52924c-cfd3-452e-8af6-a8e7cc21ab55' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;ex&#x27;, &#x27;ey&#x27;, &#x27;hx&#x27;, &#x27;hy&#x27;, &#x27;hz&#x27;], dtype=&#x27;&lt;U2&#x27;)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>input</span></div><div class='xr-var-dims'>(input)</div><div class='xr-var-dtype'>&lt;U2</div><div class='xr-var-preview xr-preview'>&#x27;ex&#x27; &#x27;ey&#x27; &#x27;hx&#x27; &#x27;hy&#x27; &#x27;hz&#x27;</div><input id='attrs-46c0901e-b854-42b1-8a7e-6bd77c1247c1' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-46c0901e-b854-42b1-8a7e-6bd77c1247c1' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6b6ab306-e170-467b-b2ee-8a327943d576' class='xr-var-data-in' type='checkbox'><label for='data-6b6ab306-e170-467b-b2ee-8a327943d576' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;ex&#x27;, &#x27;ey&#x27;, &#x27;hx&#x27;, &#x27;hy&#x27;, &#x27;hz&#x27;], dtype=&#x27;&lt;U2&#x27;)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-0e4728f2-a8cd-434a-acf8-83e9dc7b54a5' class='xr-section-summary-in' type='checkbox'  checked><label for='section-0e4728f2-a8cd-434a-acf8-83e9dc7b54a5' class='xr-section-summary' >Data variables: <span>(5)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>transfer_function</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>complex128</div><div class='xr-var-preview xr-preview'>(nan+nanj) ... (nan+nanj)</div><input id='attrs-9f2cf0d8-0360-4833-bee1-7f14c6ff93af' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-9f2cf0d8-0360-4833-bee1-7f14c6ff93af' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-215af7a3-dbcf-4b1f-bc69-2eecab3743ea' class='xr-var-data-in' type='checkbox'><label for='data-215af7a3-dbcf-4b1f-bc69-2eecab3743ea' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "         -3.27386908e+01-3.87974891e+01j,\n",
       "          1.88706665e+02+1.07420796e+02j,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "         -1.32096607e+02-1.35864482e+02j,\n",
       "          3.68287939e+01+4.72365517e+01j,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "...\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "         -3.19448102e-01-3.36575829e-01j,\n",
       "          3.53014348e-01+2.82934707e-01j,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "          3.91832865e-02-1.21011887e-01j,\n",
       "          1.74101018e-01+2.83548631e-02j,\n",
       "                     nan           +nanj]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>transfer_function_error</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan 0.6283 ... 0.3407 0.379 nan</div><input id='attrs-2ddba831-20b9-4f13-87e7-b8a17012656c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-2ddba831-20b9-4f13-87e7-b8a17012656c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6ad7aba4-1e4b-4dfe-a973-087780e6e849' class='xr-var-data-in' type='checkbox'><label for='data-6ad7aba4-1e4b-4dfe-a973-087780e6e849' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[       nan,        nan, 0.62826774, 0.42190776,        nan],\n",
       "        [       nan,        nan, 0.70158401, 0.47114267,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan, 0.01424382, 0.00956531,        nan]],\n",
       "\n",
       "       [[       nan,        nan, 0.48765562, 0.3268946 ,        nan],\n",
       "        [       nan,        nan, 0.81557782, 0.54671366,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan, 0.01319562, 0.00884554,        nan]],\n",
       "\n",
       "       [[       nan,        nan, 0.61562106, 0.44363127,        nan],\n",
       "        [       nan,        nan, 1.44739861, 1.04303007,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan, 0.02246589, 0.01618946,        nan]],\n",
       "\n",
       "       [[       nan,        nan, 0.36146756, 0.47606703,        nan],\n",
       "        [       nan,        nan, 1.0786671 , 1.42064708,        nan],\n",
       "...\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan, 0.08547204, 0.07036012,        nan]],\n",
       "\n",
       "       [[       nan,        nan, 0.04089545, 0.03343341,        nan],\n",
       "        [       nan,        nan, 0.03650536, 0.02984437,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan, 0.12760548, 0.10432179,        nan]],\n",
       "\n",
       "       [[       nan,        nan, 0.08424152, 0.07170252,        nan],\n",
       "        [       nan,        nan, 0.06129141, 0.05216844,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan, 0.29011398, 0.24693172,        nan]],\n",
       "\n",
       "       [[       nan,        nan, 0.08406226, 0.09350149,        nan],\n",
       "        [       nan,        nan, 0.04138315, 0.04603001,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan,        nan,        nan,        nan],\n",
       "        [       nan,        nan, 0.3407337 , 0.37899421,        nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>transfer_function_model_error</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan 0.0 0.0 ... nan 0.0 0.0 nan</div><input id='attrs-d7ded622-9658-487c-99d6-5550a26c5b16' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d7ded622-9658-487c-99d6-5550a26c5b16' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d8d41503-3695-42d5-9496-115bcbb3d2e9' class='xr-var-data-in' type='checkbox'><label for='data-d8d41503-3695-42d5-9496-115bcbb3d2e9' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "...\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]],\n",
       "\n",
       "       [[nan, nan,  0.,  0., nan],\n",
       "        [nan, nan,  0.,  0., nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan, nan, nan, nan],\n",
       "        [nan, nan,  0.,  0., nan]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>inverse_signal_power</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>complex128</div><div class='xr-var-preview xr-preview'>(nan+nanj) ... (nan+nanj)</div><input id='attrs-a43a0855-deae-4639-98f0-267bb28ea223' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a43a0855-deae-4639-98f0-267bb28ea223' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1578415d-bf6e-44bb-af87-b9b30d15b1a5' class='xr-var-data-in' type='checkbox'><label for='data-1578415d-bf6e-44bb-af87-b9b30d15b1a5' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "          6.30105287e+01+2.22044605e-15j,\n",
       "          1.07999937e+01-9.93285474e+00j,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "          1.07999937e+01+9.93285474e+00j,\n",
       "          2.84157179e+01+1.77635684e-15j,\n",
       "                     nan           +nanj],\n",
       "...\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "          9.97377032e-03-2.57498016e-19j,\n",
       "         -2.15962521e-03+1.91420085e-03j,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "         -2.15962521e-03-1.91420085e-03j,\n",
       "          1.23394086e-02+1.08420217e-19j,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>residual_covariance</span></div><div class='xr-var-dims'>(period, output, input)</div><div class='xr-var-dtype'>complex128</div><div class='xr-var-preview xr-preview'>(0.006264355418880166+1.27738019...</div><input id='attrs-9b6c47bc-e590-4812-89ba-5580a7af2b47' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-9b6c47bc-e590-4812-89ba-5580a7af2b47' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-515a078f-6c71-4d81-96f3-79fb2e856fc2' class='xr-var-data-in' type='checkbox'><label for='data-515a078f-6c71-4d81-96f3-79fb2e856fc2' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[ 6.26435542e-03+1.27738020e-16j,\n",
       "          2.10615045e-03-4.52621161e-04j,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "         -2.95637305e-07-5.25559170e-06j],\n",
       "        [ 2.10615045e-03+4.52621161e-04j,\n",
       "          7.81171225e-03+0.00000000e+00j,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "          1.96792202e-05+3.73305239e-06j],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "...\n",
       "        [ 3.87614047e-02+4.59126879e-02j,\n",
       "          1.71706903e-01-3.55271368e-16j,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "          1.09648426e-01+5.04148638e-02j],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [            nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj],\n",
       "        [ 1.59549104e-01-3.89601378e-02j,\n",
       "          1.09648426e-01-5.04148638e-02j,\n",
       "                     nan           +nanj,\n",
       "                     nan           +nanj,\n",
       "          1.16404778e+01+0.00000000e+00j]]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-7c8dcf70-4d41-429d-9428-463ebf33bd2e' class='xr-section-summary-in' type='checkbox'  ><label for='section-7c8dcf70-4d41-429d-9428-463ebf33bd2e' class='xr-section-summary' >Attributes: <span>(14)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>survey :</span></dt><dd>None</dd><dt><span>project :</span></dt><dd>None</dd><dt><span>id :</span></dt><dd>SAGE_2005</dd><dt><span>name :</span></dt><dd>None</dd><dt><span>latitude :</span></dt><dd>35.55</dd><dt><span>longitude :</span></dt><dd>-106.28333333333333</dd><dt><span>elevation :</span></dt><dd>0.0</dd><dt><span>declination :</span></dt><dd>0.0</dd><dt><span>datum :</span></dt><dd>WGS84</dd><dt><span>acquired_by :</span></dt><dd>Quantec Consulting</dd><dt><span>start :</span></dt><dd>2004-07-03T00:00:00+00:00</dd><dt><span>end :</span></dt><dd>2004-07-06T00:00:00+00:00</dd><dt><span>runs_processed :</span></dt><dd>[&#x27;SAGE_2005a&#x27;]</dd><dt><span>coordinate_system :</span></dt><dd>geographic</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.Dataset>\n",
       "Dimensions:                        (period: 33, output: 5, input: 5)\n",
       "Coordinates:\n",
       "  * period                         (period) float64 0.004196 0.005952 ... 209.7\n",
       "  * output                         (output) <U2 'ex' 'ey' 'hx' 'hy' 'hz'\n",
       "  * input                          (input) <U2 'ex' 'ey' 'hx' 'hy' 'hz'\n",
       "Data variables:\n",
       "    transfer_function              (period, output, input) complex128 (nan+na...\n",
       "    transfer_function_error        (period, output, input) float64 nan ... nan\n",
       "    transfer_function_model_error  (period, output, input) float64 nan ... nan\n",
       "    inverse_signal_power           (period, output, input) complex128 (nan+na...\n",
       "    residual_covariance            (period, output, input) complex128 (0.0062...\n",
       "Attributes: (12/14)\n",
       "    survey:             None\n",
       "    project:            None\n",
       "    id:                 SAGE_2005\n",
       "    name:               None\n",
       "    latitude:           35.55\n",
       "    longitude:          -106.28333333333333\n",
       "    ...                 ...\n",
       "    datum:              WGS84\n",
       "    acquired_by:        Quantec Consulting\n",
       "    start:              2004-07-03T00:00:00+00:00\n",
       "    end:                2004-07-06T00:00:00+00:00\n",
       "    runs_processed:     ['SAGE_2005a']\n",
       "    coordinate_system:  geographic"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tf_object.dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "da6ba068-5a88-4b1d-9701-d7a47f1f34f5",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
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