notebooks/LIGO_power_spectrum.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# LIGO power spectrum\n",
    "\n",
    "http://www.astroml.org/examples/datasets/plot_LIGO_spectrum.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Original"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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peFJVYHSy5qBORr+lMnW8Hn4N0BN4AmVsZSlTR/JHq9VCCCEb1I3D1JX61JXK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oBsFnWMHXyx1AUbf7hfVUWdzPKNlNkdQkFYxtR5yR4AQ4hoIBElAVgO4NMQ94lhGD+jF1YqN3N9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\nA1jUMQzDMAzDVANY1DEMwzAMw1QD/h8i635keODFKAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108b3eef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Author: Jake VanderPlas <vanderplas@astro.washington.edu>\n",
    "# License: BSD\n",
    "#   The figure is an example from astroML: see http://astroML.github.com\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from scipy import fftpack\n",
    "from matplotlib import mlab\n",
    "\n",
    "from astroML.datasets import fetch_LIGO_large\n",
    "\n",
    "#------------------------------------------------------------\n",
    "# Fetch the LIGO hanford data\n",
    "data, dt = fetch_LIGO_large()\n",
    "\n",
    "# subset of the data to plot\n",
    "t0 = 646\n",
    "T = 2\n",
    "tplot = dt * np.arange(T * 4096)\n",
    "dplot = data[4096 * t0: 4096 * (t0 + T)]\n",
    "\n",
    "tplot = tplot[::10]\n",
    "dplot = dplot[::10]\n",
    "\n",
    "fmin = 40\n",
    "fmax = 2060\n",
    "\n",
    "#------------------------------------------------------------\n",
    "# compute PSD using simple FFT\n",
    "N = len(data)\n",
    "df = 1. / (N * dt)\n",
    "PSD = abs(dt * fftpack.fft(data)[:N // 2]) ** 2\n",
    "f = df * np.arange(N / 2)\n",
    "\n",
    "cutoff = ((f >= fmin) & (f <= fmax))\n",
    "f = f[cutoff]\n",
    "PSD = PSD[cutoff]\n",
    "f = f[::100]\n",
    "PSD = PSD[::100]\n",
    "\n",
    "#------------------------------------------------------------\n",
    "# compute PSD using Welch's method -- hanning window function\n",
    "PSDW2, fW2 = mlab.psd(data, NFFT=4096, Fs=1. / dt,\n",
    "                      window=mlab.window_hanning, noverlap=2048)\n",
    "\n",
    "dfW2 = fW2[1] - fW2[0]\n",
    "\n",
    "cutoff = (fW2 >= fmin) & (fW2 <= fmax)\n",
    "fW2 = fW2[cutoff]\n",
    "PSDW2 = PSDW2[cutoff]\n",
    "\n",
    "#------------------------------------------------------------\n",
    "# Plot the data\n",
    "fig = plt.figure(figsize=(10, 7.5))\n",
    "fig.subplots_adjust(bottom=0.1, top=0.9, hspace=0.3)\n",
    "\n",
    "# top panel: time series\n",
    "ax = fig.add_subplot(211)\n",
    "ax.plot(tplot, dplot, '-k')\n",
    "ax.set_xlabel('time (s)')\n",
    "ax.set_ylabel('$h(t)$')\n",
    "\n",
    "ax.set_ylim(-1.2E-18, 1.2E-18)\n",
    "\n",
    "# bottom panel: hanning window\n",
    "ax = fig.add_subplot(212)\n",
    "ax.loglog(f, PSD, '-', c='#AAAAAA')\n",
    "ax.loglog(fW2, PSDW2, '-k')\n",
    "ax.text(0.98, 0.95, \"Hanning (cosine) window\",\n",
    "        ha='right', va='top', transform=ax.transAxes)\n",
    "\n",
    "ax.set_xlabel('frequency (Hz)')\n",
    "ax.set_ylabel(r'$PSD(f)$')\n",
    "\n",
    "ax.set_xlim(40, 2060)\n",
    "ax.set_ylim(1E-46, 1E-36)\n",
    "ax.yaxis.set_major_locator(plt.LogLocator(base=100))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Altair version"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div class=\"vega-embed\" id=\"3567356f-d9ff-4226-84e5-55de1e57c3f7\"></div>\n",
       "\n",
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"
     },
     "metadata": {
      "jupyter-vega": "#3567356f-d9ff-4226-84e5-55de1e57c3f7"
     },
     "output_type": "display_data"
    },
    {
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2045.37109375, \"psd\": 7.783580494067671e-42, \"psd2\": 1.6858646684353634e-44}, {\"frequency\": 2045.859375, \"psd\": 5.023861314099058e-42, \"psd2\": 1.6959455566871442e-44}, {\"frequency\": 2046.34765625, \"psd\": 3.5528063405419803e-41, \"psd2\": 1.7110332849017155e-44}, {\"frequency\": 2046.8359375, \"psd\": 8.40650947191956e-42, \"psd2\": 1.7281462517529215e-44}, {\"frequency\": 2047.32421875, \"psd\": 2.1419168028460282e-41, \"psd2\": 1.450880266271325e-44}, {\"frequency\": 2047.8125, \"psd\": 1.3309967738527732e-42, \"psd2\": 1.0246514374405998e-44}]}, \"$schema\": \"https://vega.github.io/schema/vega-lite/v1.2.1.json\"};\n",
       "var selector = \"#201e0cad-4c3a-4d89-a506-ee7f41f09f5a\";\n",
       "var type = \"vega-lite\";\n",
       "\n",
       "var output_area = this;\n",
       "require(['nbextensions/jupyter-vega/index'], function(vega) {\n",
       "  vega.render(selector, spec, type, output_area);\n",
       "}, function (err) {\n",
       "  if (err.requireType !== 'scripterror') {\n",
       "    throw(err);\n",
       "  }\n",
       "});\n"
      ]
     },
     "metadata": {
      "jupyter-vega": "#201e0cad-4c3a-4d89-a506-ee7f41f09f5a"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {
      "jupyter-vega": "#201e0cad-4c3a-4d89-a506-ee7f41f09f5a"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from scipy import fftpack\n",
    "from matplotlib import mlab\n",
    "from astroML.datasets import fetch_LIGO_large\n",
    "\n",
    "from altair import Chart, LayeredChart, Color, Scale, Y, X, Axis\n",
    "\n",
    "#------------------------------------------------------------\n",
    "# Fetch the LIGO hanford data\n",
    "data, dt = fetch_LIGO_large()\n",
    "\n",
    "# subset of the data to plot\n",
    "t0 = 646\n",
    "T = 2\n",
    "tplot = dt * np.arange(T * 4096)\n",
    "dplot = data[4096 * t0: 4096 * (t0 + T)]\n",
    "\n",
    "tplot = tplot[::10]\n",
    "dplot = dplot[::10]\n",
    "\n",
    "fmin = 40\n",
    "fmax = 2060\n",
    "\n",
    "#------------------------------------------------------------\n",
    "# compute PSD using simple FFT\n",
    "N = len(data)\n",
    "df = 1. / (N * dt)\n",
    "PSD = abs(dt * fftpack.fft(data)[:N // 2]) ** 2\n",
    "f = df * np.arange(N / 2)\n",
    "\n",
    "cutoff = ((f >= fmin) & (f <= fmax))\n",
    "f = f[cutoff]\n",
    "PSD = PSD[cutoff]\n",
    "\n",
    "# Take only every 1000th value to limit the array size for Vega to display\n",
    "f = f[::1000]\n",
    "PSD = PSD[::1000]\n",
    "\n",
    "#------------------------------------------------------------\n",
    "# compute PSD using Welch's method -- hanning window function\n",
    "PSDW2, fW2 = mlab.psd(data, NFFT=4096, Fs=1. / dt,\n",
    "                      window=mlab.window_hanning, noverlap=2048)\n",
    "\n",
    "dfW2 = fW2[1] - fW2[0]\n",
    "\n",
    "cutoff = (fW2 >= fmin) & (fW2 <= fmax)\n",
    "fW2 = fW2[cutoff]\n",
    "PSDW2 = PSDW2[cutoff]\n",
    "\n",
    "#------------------------------------------\n",
    "# Set up a DataFrame with the data\n",
    "#\n",
    "timeserie_df = pd.DataFrame({'time': tplot, 'ht': dplot})\n",
    "psd_df = pd.DataFrame({'frequency': f, 'psd': PSD, 'psd2': np.interp(f, fW2, PSDW2)})\n",
    "\n",
    "# #------------------------------------------\n",
    "# # Set up a LayeredChart to plot the data\n",
    "\n",
    "chart1 = Chart(timeserie_df).mark_line(color='black').encode(\n",
    "    X('time:Q', axis=Axis(title='Time (s)'), scale=Scale(domain=(-0.05, 2.05)), grid=False), \n",
    "    Y('ht:Q', axis=Axis(title='h(t)', format='e'))\n",
    "    ).configure_cell(height=200, width=600)\n",
    "\n",
    "\n",
    "chart2 = LayeredChart(psd_df)\n",
    "\n",
    "chart2 += Chart().mark_line(color='gray', opacity=0.7).encode(\n",
    "    X('frequency', axis=Axis(title='frequency (Hz)', format='e'), scale=Scale(type='log', domain=(40, 2060), clamp=True)), \n",
    "    Y('psd', axis=Axis(title='PSD', format='e'), scale=Scale(type='log'))\n",
    "    ).configure_cell(height=200, width=600)\n",
    "\n",
    "chart2 += Chart().mark_line(color='black').encode(x='frequency', y='psd2')\n",
    "\n",
    "chart1.display()\n",
    "chart2.display()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
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