diff --git a/notebooks/A01_case_study_fixed_link.ipynb b/notebooks/A01_case_study_fixed_link.ipynb new file mode 100644 index 000000000..2b17dcfad --- /dev/null +++ b/notebooks/A01_case_study_fixed_link.ipynb @@ -0,0 +1,652 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Case study: fixed link transmitter and RAS" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## License\n", + "\n", + "```\n", + "HOWTO: Calculate level of interference in radio-astronomical\n", + "observations produced from a fixed link.\n", + "Copyright (C) 2015+ Benjamin Winkel (bwinkel@mpifr.de)\n", + "\n", + "This program is free software; you can redistribute it and/or\n", + "modify it under the terms of the GNU General Public License\n", + "as published by the Free Software Foundation; either version 2\n", + "of the License, or (at your option) any later version.\n", + "\n", + "This program is distributed in the hope that it will be useful,\n", + "but WITHOUT ANY WARRANTY; without even the implied warranty of\n", + "MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the\n", + "GNU General Public License for more details.\n", + "\n", + "You should have received a copy of the GNU General Public License\n", + "along with this program; if not, write to the Free Software\n", + "Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from astropy import units as u\n", + "from pycraf import conversions as cnv\n", + "from pycraf import pathprof, protection, antenna" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## System parameters" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Before we calculate the path attenuation by the terrain around the radio telescope, we first need to determine the level of power that leaks into the RAS bands. Since the fixed-link (FL) service has its own allocations, the primary emission is completely legal. However, RAS observations in adjacent bands (allocated to RAS) could still see spectral side-lobe emission. Usually, this is suppressed with bandpass filters, but if the primary emission is to intense, and/or the bandpass attenuation is not large enough, the unwanted emission could exceed the RA.769 thresholds." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "total power, in FL band: 10.0 dB(mW)\n", + "spectral power, in FL band: -13.0 dB(mW / MHz)\n", + "spectral power, out of FL band: -73.0 dB(mW / MHz)\n" + ] + } + ], + "source": [ + "# FL transmitter; \n", + "freq_fl = 10 * u.GHz\n", + "bandwidth_fl = 200 * u.MHz\n", + "tx_power = 10 * u.mW # (over the used bandwidth)\n", + "suppression = -60 * cnv.dBc\n", + "\n", + "# infer spectral power levels\n", + "tx_spectral_power = tx_power / bandwidth_fl\n", + "tx_oob_spectral_power = tx_spectral_power.to(cnv.dBm_MHz) + suppression\n", + "\n", + "print('total power, in FL band: {:.1f}'.format(tx_power.to(cnv.dBm)))\n", + "print('spectral power, in FL band: {:.1f}'.format(tx_spectral_power.to(cnv.dBm_MHz)))\n", + "print('spectral power, out of FL band: {:.1f}'.format(tx_oob_spectral_power.to(cnv.dBm_MHz)))" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "total power, in RAS band: -53.0 dB(mW) = -83.0 dB(W)\n" + ] + } + ], + "source": [ + "# RAS receiver\n", + "freq_ras = 10.65 * u.GHz\n", + "bandwidth_ras = 100 * u.MHz\n", + "\n", + "# Calculate total power leaking into RAS band:\n", + "tx_power_ras_band = tx_oob_spectral_power.to(u.W / u.MHz) * bandwidth_ras\n", + "print('total power, in RAS band: {:.1f} = {:.1f}'.format(\n", + " tx_power_ras_band.to(cnv.dBm), tx_power_ras_band.to(cnv.dB_W),\n", + " ))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we have used the 10.65 GHz RAS allocation (bandwidth: 100 MHz), employing continuum thresholds. Whether continuum or spectral-line thresholds are appropriate is different for each case study and depends (of course) on the type of RAS observations, but also on the type of emission. In many cases, an observatory uses both types of observation. It is also worth noticing, that for real system the spectral mask of the transmitter is usually more complicated. One often makes a distinction between the out-of-band and spurious domain, the former being very close in frequency to the carrier frequency. Furthermore, the spectral response in the three domains is not completely flat. If a well-defined spectrum mask is provided, it is still just a matter of integrating the resulting (frequency-dependent) spectral power over the RAS bandwidth. Be sure, to do the integration in the linear domain, though, and not on the dB-scale!\n", + "\n", + "\n", + "Note, that the RAS protection thresholds, as defined in ITU-R Rec. RA.769-2 are also provided by pycraf:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "<Table length=6>\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
frequencybandwidthT_AT_rxT_rmsP_rms_nuPlimPlim_nuSlimSlim_nuEfieldEfield_norm
MHzMHzKKmKdB(W / Hz)dB(W)dB(W / Hz)dB(W / m2)dB(W / (Hz m2))dB(uV2 / m2)dB(uV2 / m2)
float64float64float64float64float64float64float64float64float64float64float64float64
14142712100.095-268.8-204.5-278.8-180.1-254.4-34.3-48.6
16651012100.156-266.7-206.7-276.7-180.8-250.8-35.0-45.0
26951012100.156-266.7-206.7-276.7-176.6-246.6-30.9-40.9
49951012100.156-266.7-206.7-276.7-171.3-241.3-25.5-35.5
1065010012100.049-271.7-201.7-281.7-159.7-239.7-13.9-33.9
153755015150.095-268.8-201.8-278.8-156.6-233.6-10.9-27.9
" + ], + "text/plain": [ + "\n", + "frequency bandwidth T_A ... Slim_nu Efield Efield_norm \n", + " MHz MHz K ... dB(W / (Hz m2)) dB(uV2 / m2) dB(uV2 / m2)\n", + " float64 float64 float64 ... float64 float64 float64 \n", + "--------- --------- ------- ... --------------- ------------ ------------\n", + " 1414 27 12 ... -254.4 -34.3 -48.6\n", + " 1665 10 12 ... -250.8 -35.0 -45.0\n", + " 2695 10 12 ... -246.6 -30.9 -40.9\n", + " 4995 10 12 ... -241.3 -25.5 -35.5\n", + " 10650 100 12 ... -239.7 -13.9 -33.9\n", + " 15375 50 15 ... -233.6 -10.9 -27.9" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "protection.ra769_limits()[7:13]" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "RA.769 threshold: -201.7 dB(W)\n" + ] + } + ], + "source": [ + "ras_power_lim = protection.ra769_limits()[11]['Plim'] * cnv.dB_W\n", + "print('RA.769 threshold: {:.1f}'.format(ras_power_lim))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Based on these numbers, one defines the *minimal coupling loss* (MCL), which is the minimal path attenuation (accounting for antenna gains) that is necessary to ensure the leaked power to be below the RA.769 levels." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "MCL: 118.7 dB\n" + ] + } + ], + "source": [ + "MCL = (tx_power_ras_band.to_value(cnv.dB_W) - ras_power_lim.to_value(cnv.dB_W)) * cnv.dB\n", + "print('MCL: {:.1f}'.format(MCL))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Calculating the path attenuation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Calculating the path propagation loss is really simple with pycraf. A bit more complicated will be to account for the antenna gains.\n", + "\n", + "For Earth-based services, one often assumes the receiver gain to be 0 dBi (i.e., isotropic receiver antenna). The telescope usually won't point towards the FL transmitter, being located at very low elevation, such that the radiation will enter through the side-lobe pattern of the RAS antenna. Of course, one could use a proper description of the RAS antenna pattern, but the astronomical observations are done on quasi-random locations of the sky, so that on average the mean antenna gain, i.e., 0 dBi, will be relevant.\n", + "\n", + "The transmitter gain is of course known, but this is the maximum gain in the direction to the FL receiver. We have to use the FL antenna pattern and figure out how large the effective gain in the direction of the propagation path is." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "lon_rt, lat_rt = 6.8836 * u.deg, 50.525 * u.deg # 100-m Effelsberg radio telescope\n", + "lon_fl_tx, lat_fl_tx = 6.938 * u.deg, 50.494 * u.deg\n", + "lon_fl_rx, lat_fl_rx = 6.925 * u.deg, 50.528 * u.deg\n", + "hprof_step = 100 * u.m # if made large, Gaussian smoothing is applied to avoid aliasing" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plotting this, to get an idea of the environment:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "map_size_lon, map_size_lat = 0.25 * u.deg, 0.25 * u.deg\n", + "map_resolution = 3. * u.arcsec" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "lons, lats, heightmap = pathprof.srtm_height_map(\n", + " lon_rt, lat_rt,\n", + " map_size_lon, map_size_lat,\n", + " map_resolution=map_resolution,\n", + " )\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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KGhqLrSU1cx1ks3UhIqn5XIfxtcptQWZcsmO39bV5lmx1jSYa61rbiXsOOZGG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5Tywu0jRWkj0piQ2vTNYvzcH/7BY7nudJ2oLmtm9tvX4zV9J3zHUel4I6Z6rqVANRI+HNu0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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "_lons = lons.to(u.deg).value\n", + "_lats = lats.to(u.deg).value\n", + "_heightmap = heightmap.to(u.m).value\n", + "\n", + "vmin, vmax = -20, 870\n", + "terrain_cmap, terrain_norm = pathprof.terrain_cmap_factory(sealevel=0.5, vmax=vmax)\n", + "\n", + "plt.close()\n", + "\n", + "fig = plt.figure(figsize=(10, 10))\n", + "ax = fig.add_axes((0., 0., 1.0, 1.0))\n", + "cbax = fig.add_axes((0., 0., 1.0, .02))\n", + "cim = ax.imshow(\n", + " _heightmap,\n", + " origin='lower', interpolation='nearest',\n", + " cmap=terrain_cmap, norm=terrain_norm,\n", + " vmin=vmin, vmax=vmax,\n", + " extent=(_lons[0], _lons[-1], _lats[0], _lats[-1]),\n", + " )\n", + "cbar = fig.colorbar(\n", + " cim, cax=cbax, orientation='horizontal'\n", + " )\n", + "ax.set_aspect(abs(_lons[-1] - _lons[0]) / abs(_lats[-1] - _lats[0]))\n", + "cbar.set_label(r'Height (amsl)', color='k')\n", + "cbax.xaxis.set_label_position('top')\n", + "for t in cbax.xaxis.get_major_ticks():\n", + " t.tick1On = True\n", + " t.tick2On = True\n", + " t.label1On = False\n", + " t.label2On = True\n", + "ctics = np.arange(0, 1150, 200)\n", + "cbar.set_ticks(ctics)\n", + "cbar.ax.set_xticklabels(map('{:.0f} m'.format, ctics), color='k')\n", + "ax.set_xlabel('Longitude [deg]')\n", + "ax.set_ylabel('Latitude [deg]')\n", + "ax.xaxis.tick_top()\n", + "ax.xaxis.set_label_position('top')\n", + "\n", + "ax.annotate(\n", + " 'RT', xy=(lon_rt.value, lat_rt.value), xytext=(-40, 30), \n", + " textcoords='offset points', color='k',\n", + " arrowprops=dict(arrowstyle=\"->\", color='k')\n", + " )\n", + "ax.annotate(\n", + " 'FL Tx', xy=(lon_fl_tx.value, lat_fl_tx.value), xytext=(30, -30), \n", + " textcoords='offset points', color='k',\n", + " arrowprops=dict(arrowstyle=\"->\", color='k')\n", + " )\n", + "ax.annotate(\n", + " 'FL Rx', xy=(lon_fl_rx.value, lat_fl_rx.value), xytext=(30, 30), \n", + " textcoords='offset points', color='k',\n", + " arrowprops=dict(arrowstyle=\"->\", color='k')\n", + " )\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The next step is to define the other parameters and create the path geometry objects:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# Create PathProp object\n", + "temperature = 290. * u.K\n", + "pressure = 1013. * u.hPa\n", + "time_percent = 2 * u.percent # see P.452 for explanation\n", + "\n", + "# for the FL terminals, we assume a height of 30-m;\n", + "# the RAS antenna has 50-m (elevation axis)\n", + "h_fl_tx, h_fl_rx, h_rt = 30 * u.m, 30 * u.m, 50 * u.m\n", + "\n", + "# since all terminals are at large height, we can forget\n", + "# about clutter zones; set to UNKNOWN\n", + "zone_t, zone_r = pathprof.CLUTTER.UNKNOWN, pathprof.CLUTTER.UNKNOWN\n", + "\n", + "# we need two PathProp objects, one for the FL link and\n", + "# one for the path between FL Tx and RAS Rx\n", + "pprop_fl = pathprof.PathProp(\n", + " freq_fl,\n", + " temperature, pressure,\n", + " lon_fl_tx, lat_fl_tx,\n", + " lon_fl_rx, lat_fl_rx,\n", + " h_fl_tx, h_fl_rx,\n", + " hprof_step,\n", + " time_percent,\n", + " zone_t=zone_t, zone_r=zone_r,\n", + " )\n", + "\n", + "pprop_fl_ras = pathprof.PathProp(\n", + " freq_ras,\n", + " temperature, pressure,\n", + " lon_fl_tx, lat_fl_tx,\n", + " lon_rt, lat_rt,\n", + " h_fl_tx, h_rt,\n", + " hprof_step,\n", + " time_percent,\n", + " zone_t=zone_t, zone_r=zone_r,\n", + " )" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With the PathProp objects, we can derive the Gain of the transmitter towards the RAS station. For this, we need to work with the bearings and (horizon) elevation angles:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "FL-FL, Az/El: -13.7 deg, -0.3 deg\n", + "FL-RAS, Az/El: -48.2 deg, -1.1 deg\n" + ] + } + ], + "source": [ + "print('FL-FL, Az/El: {:.1f}, {:.1f}'.format(\n", + " pprop_fl.alpha_tr, pprop_fl.eps_pt\n", + " ))\n", + "print('FL-RAS, Az/El: {:.1f}, {:.1f}'.format(\n", + " pprop_fl_ras.alpha_tr, pprop_fl_ras.eps_pt\n", + " ))" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Angular distance: 34.5 deg\n" + ] + } + ], + "source": [ + "ang_dist = pathprof.true_angular_distance(\n", + " pprop_fl.alpha_tr, pprop_fl.eps_pt,\n", + " pprop_fl_ras.alpha_tr, pprop_fl_ras.eps_pt,\n", + " )\n", + "print('Angular distance: {:.1f}'.format(ang_dist))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note, that it was important for this, that the FL transmitter was the origin of the path in both cases. Luckily, the FL antenna pattern to be used for such cases is radial symmetric, such that we only need the angular distance between the two paths (as seen from the FL Tx).\n", + "\n", + "For the FL antenna pattern, we have to assume a certain antenna size:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "FL max. gain: 44.2 dB\n" + ] + } + ], + "source": [ + "diameter_fl = 2 * u.m\n", + "wavelen_fl = freq_fl.to(u.m, equivalencies=u.spectral())\n", + "\n", + "G_max_fl = antenna.fl_G_max_from_size(diameter_fl, wavelen_fl)\n", + "print('FL max. gain: {:.1f}'.format(G_max_fl))" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Effective gain towards RAS station: -4.7 dB\n" + ] + } + ], + "source": [ + "G_eff = antenna.fl_pattern(ang_dist, diameter_fl, wavelen_fl, G_max_fl)\n", + "print('Effective gain towards RAS station: {:.1f}'.format(G_eff))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We now have all ingredients to compute the final path attenuation:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "L_bfsg: 127.41 dB - Free-space loss\n", + "L_bd: 125.94 dB - Basic transmission loss associated with diffraction\n", + "L_bs: 167.28 dB - Tropospheric scatter loss\n", + "L_ba: 156.52 dB - Ducting/layer reflection loss\n", + "L_b: 125.94 dB - Complete path propagation loss\n", + "L_b_corr: 125.94 dB - As L_b but with clutter correction\n", + "L: 130.63 dB - As L_b_corr but with gain correction\n" + ] + } + ], + "source": [ + "tot_loss = pathprof.loss_complete(pprop_fl_ras, G_eff, 0 * cnv.dBi)\n", + "(L_bfsg, L_bd, L_bs, L_ba, L_b, L_b_corr, L) = tot_loss\n", + "print('L_bfsg: {0.value:5.2f} {0.unit} - Free-space loss'.format(L_bfsg))\n", + "print('L_bd: {0.value:5.2f} {0.unit} - Basic transmission loss associated with diffraction'.format(L_bd))\n", + "print('L_bs: {0.value:5.2f} {0.unit} - Tropospheric scatter loss'.format(L_bs))\n", + "print('L_ba: {0.value:5.2f} {0.unit} - Ducting/layer reflection loss'.format(L_ba))\n", + "print('L_b: {0.value:5.2f} {0.unit} - Complete path propagation loss'.format(L_b))\n", + "print('L_b_corr: {0.value:5.2f} {0.unit} - As L_b but with clutter correction'.format(L_b_corr))\n", + "print('L: {0.value:5.2f} {0.unit} - As L_b_corr but with gain correction'.format(L))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "The MCL is smaller than the final path attenuation, which means that the FL link would not exceed the permitted power thresholds at the RAS station. One often defines the *margin*, which is defined as the difference between MCL and path loss:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Margin: 12.0 dB\n" + ] + } + ], + "source": [ + "margin = L - MCL\n", + "print('Margin: {:.1f}'.format(margin))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "If the margin is positive, compatibility is ensured. A negative value also indicates, by how much the permitted power levels would be exceeded. In such cases, introducing better bandpass filters could improve the situation. Likewise, increasing the distance or bearing angle between FL transmitter and RAS station can help. " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python [Root]", + "language": "python", + "name": "Python [Root]" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.2" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +}