{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Dynamical Power Spectra (on real data)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# load auxiliary libraries\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from astropy.io import fits\n", "\n", "# import stingray\n", "import stingray\n", "\n", "plt.style.use('seaborn-v0_8-talk')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# All starts with a lightcurve.." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Open the event file with astropy.io.fits" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "f = fits.open('emr_cleaned.fits')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The time resolution is stored in the header of the first extension under the Keyword `TIMEDEL`" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "dt = f[1].header['TIMEDEL']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The collumn `TIME` of the first extension stores the time of each event" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "toa = f[1].data['Time']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's create a Lightcurve from the Events time of arrival witha a given time resolution" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "lc = stingray.Lightcurve.make_lightcurve(toa=toa, dt=dt)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# DynamicPowerspectrum" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's create a dynamic powerspectrum with the a segment size of 16s and the powers with a \"leahy\" normalization" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "dynspec = stingray.DynamicalPowerspectrum(lc=lc, segment_size=16, norm='leahy')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The dyn_ps attribute stores the power matrix, each column corresponds to the powerspectrum of each segment of the light curve" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 2.01901704e+00, 2.32485459e+00, 5.14704363e+00, ...,\n", " 9.76872866e-01, 9.49269045e-01, 4.60522187e+02],\n", " [ 2.93960257e+00, 2.48892516e+00, 3.39280288e+00, ...,\n", " 6.23511732e+00, 4.27550837e+00, 1.06261843e+02],\n", " [ 3.64619904e+00, 1.58266627e+00, 3.42614944e-01, ...,\n", " 1.16952148e+00, 3.54994270e+00, 4.56956463e+01],\n", " ..., \n", " [ 1.69311108e+00, 5.18784072e-01, 1.57151667e+00, ...,\n", " 1.09923562e+00, 3.40274378e-01, 2.53108287e+00],\n", " [ 2.95675687e-01, 2.47939959e+00, 2.84930818e+00, ...,\n", " 2.99674579e-01, 1.48585951e+00, 7.49068264e+00],\n", " [ 8.84156884e-01, 1.65514790e+00, 4.17385519e-01, ...,\n", " 7.54942692e+00, 9.99801389e-01, 2.03835451e-01]])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynspec.dyn_ps" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To plot the DynamicalPowerspectrum matrix, we use the attributes `time` and `freq` to set the extend of the image axis. have a look at the documentation of matplotlib's `imshow()`." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(700, 850)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ZW7mp20slb9ezJPkghS9Wc2aOQ22d+cnqpNUZala81NbzEtoAZyLNmv8Dk/HS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\nbP6uNdK9OJGtw7HSkt5PXY2+13kXs2O5R44oz/OTXVlnrJ6NO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30iTQEnhUl1Urt1cOZy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sga3cc+ayqmY8yNqQC45mF6/vG8tkcjKyUPuBrXwjMzIBJzu8mslDEtqUKqmcj1Ec2HhJHNhd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\nMMIII4wwLCCsVIURRhh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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "extent = min(dynspec.time), max(dynspec.time), max(dynspec.freq), min(dynspec.freq)\n", "\n", "plt.imshow(dynspec.dyn_ps, origin=\"lower left\", aspect=\"auto\", vmin=1.98, vmax=3.0,\n", " interpolation=\"none\", extent=extent)\n", "plt.colorbar()\n", "plt.ylim(700,850)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The dynamical powerspectrun has 65535 frequency bins and 104 time bins\n" ] } ], "source": [ "print(\"The dynamical powerspectrun has {} frequency bins and {} time bins\".format(len(dynspec.freq), len(dynspec.time)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " # Rebinning in Frequency" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The current frequency resolution is 0.0625\n" ] } ], "source": [ "print(\"The current frequency resolution is {}\".format(dynspec.df))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's rebin to a frequency resolution of 2 Hz and using the average of the power" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "dynspec.rebin_frequency(df_new=2.0, method=\"average\")" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The new frequency resolution is 2.0\n" ] } ], "source": [ "print(\"The new frequency resolution is {}\".format(dynspec.df))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see how the Dynamical Powerspectrum looks now" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(500, 1000)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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xn/m5DAVwUbDjQfrlJ0oarq17sBeYe7Z4diXg5tlyYUfmXEj7pubVcqGsOeZe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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "extent = min(dynspec.time), max(dynspec.time), min(dynspec.freq), max(dynspec.freq)\n", "plt.imshow(dynspec.dyn_ps, origin=\"lower\", aspect=\"auto\", vmin=1.98, vmax=3.0,\n", " interpolation=\"none\", extent=extent)\n", "plt.colorbar()\n", "plt.ylim(500, 1000)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(700, 850)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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8KH5SCsG7fhRQPhkvy/7iNQZFNvkHsJh95Thlv9WBMLFghuls6XamFKZnf9FB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\nT7fTyhLYm0fAMxFrN9o2D1+YHtmlu/EZuL8W19uaAcBy72/Pyr3Ljc8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hS4NzLorYROs/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U909w6mLRGNRtA9v/5EWyrGJ1KsI3N/vaSl8el+iT73m7q3Nj4dPtBjIejPZ9nx+nj8UjsAsLF5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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "extent = min(dynspec.time), max(dynspec.time), min(dynspec.freq), max(dynspec.freq)\n", "plt.imshow(dynspec.dyn_ps, origin=\"lower\", aspect=\"auto\", vmin=2.0, vmax=3.0,\n", " interpolation=\"none\", extent=extent)\n", "plt.colorbar()\n", "plt.ylim(700,850)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Rebin time" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's try to improve the visualization by rebinnin our matrix in the time axis" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The current time resolution is 16.0\n" ] } ], "source": [ "print(\"The current time resolution is {}\".format(dynspec.dt))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's rebin to a time resolution of 64 s" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "dynspec.rebin_time(dt_new=64.0, method=\"average\")" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The new time resolution is 64.0\n" ] } ], "source": [ "print(\"The new time resolution is {}\".format(dynspec.dt))" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(700, 850)" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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PFu9b1tvraPpPREREKsYJnf4bByzvcru+j826BOhpKuViYCXwneL03ytm9ie9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\nOGPmdfMDWhJXGH7w0rNCcjgxeSE2QHp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5HfDzhnP/Asb31Zz9/fAQ4QcoQ6g/Bs4jR3Kq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\nU2VmZmbWBO5UmZmZmTWBO1VmZmZmTfB/wLDVl3YO+B4AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "extent = min(dynspec.time), max(dynspec.time), min(dynspec.freq), max(dynspec.freq)\n", "plt.imshow(dynspec.dyn_ps, origin=\"lower\", aspect=\"auto\", vmin=2.0, vmax=3.0,\n", " interpolation=\"none\", extent=extent)\n", "plt.colorbar()\n", "plt.ylim(700,850)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Trace maximun" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's use the method `trace_maximum()` to find the index of the maximum on each powerspectrum in a certain frequency range. For example, between 755 and 782Hz)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "tracing = dynspec.trace_maximum(min_freq=755, max_freq=782)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is how the trace function looks like" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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PRCTLFi+GVU2FwUrDXpcuNhWmWzdb0fvNb8bfv4wpK+w557oBX6CVUb0mU4Hb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\npZfC++93/jHTbsECG82E7I7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mTICRI61dq1JuWoKuiKRauSN7k4EewE2lF3rv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\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(dynspec.time, dynspec.freq[tracing], color='red', alpha=1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot it on top of the dynamic spectrum" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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2e53bamPZxHn8/frHqEhonJUyLn8DX3v3f+lXeOiiexIrK7jn1WcbjnePmsya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\nBqBeZv3EGukpIiIiB5WXW8BXC9fXdDOqRYWTKjPrDAwDBhXvc86tiDp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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "extent = min(dynspec.time), max(dynspec.time), min(dynspec.freq), max(dynspec.freq)\n", "plt.imshow(dynspec.dyn_ps, origin=\"lower\", aspect=\"auto\", vmin=2.0, vmax=3.0,\n", " interpolation=\"none\", extent=extent, alpha=0.7)\n", "plt.colorbar()\n", "plt.ylim(740,800)\n", "plt.plot(dynspec.time, dynspec.freq[tracing], color='red', lw=3, alpha=1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "The spike at 400 Hz is probably a statistical fluctutations, tracing by the maximum power can be dangerous!\n", "\n", "We will implement better methods in the future, stay tunned ;)" ] } ], "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", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 1 }