{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Power spectrum example\n", "\n", "This tutorial shows how to make and manipulate a power spectrum of two light curves using Stingray." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "import numpy as np\n", "from stingray import Lightcurve, Powerspectrum, AveragedPowerspectrum\n", "\n", "import matplotlib.pyplot as plt\n", "import matplotlib.font_manager as font_manager\n", "%matplotlib inline\n", "font_prop = font_manager.FontProperties(size=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Create a light curve\n", "There are two ways to make `Lightcurve` objects. We'll show one way here. Check out \"Lightcurve/Lightcurve\\ tutorial.ipynb\" for more examples.\n", "\n", "Generate an array of relative timestamps that's 8 seconds long, with dt = 0.03125 s, and make two signals in units of counts. The signal is a sine wave with amplitude = 300 cts/s, frequency = 2 Hz, phase offset = 0 radians, and mean = 1000 cts/s. We then add Poisson noise to the light curve." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "dt = 0.03125 # seconds\n", "exposure = 8. # seconds\n", "times = np.arange(0, exposure, dt) # seconds\n", "\n", "signal = 300 * np.sin(2.*np.pi*times/0.5) + 1000 # counts/s\n", "noisy = np.random.poisson(signal*dt) # counts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's turn `noisy` into a `Lightcurve` object." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "lc = Lightcurve(times, noisy, dt=dt, skip_checks=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we plot it to see what it looks like." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,1,figsize=(10,6))\n", "ax.plot(lc.time, lc.counts, lw=2, color='blue')\n", "ax.set_xlabel(\"Time (s)\", fontproperties=font_prop)\n", "ax.set_ylabel(\"Counts (cts)\", fontproperties=font_prop)\n", "ax.tick_params(axis='x', labelsize=16)\n", "ax.tick_params(axis='y', labelsize=16)\n", "ax.tick_params(which='major', width=1.5, length=7)\n", "ax.tick_params(which='minor', width=1.5, length=4)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Pass the light curve to the `Powerspectrum` class to create a `Powerspectrum` object.\n", "You can also specify the optional attribute `norm` if you wish to normalize power to squared fractional rms, Leahy, or squared absolute normalization. The default normalization is 'none'." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "ps = Powerspectrum.from_lightcurve(lc, norm=\"leahy\")\n", "print(ps)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that, in principle, the `Powerspectrum` object could have been initialized directly as\n", "\n", "```\n", "ps = Powerspectrum(lc, norm=\"leahy\")\n", "```\n", "However, we recommend using this explicit syntax, for clarity. Equivalently, one can initialize a `Powerspectrum` object:\n", "\n", "1. from an `EventList` object as\n", "\n", " ```\n", " bin_time = 0.1\n", " ps = Powerspectrum.from_events(events, dt=bin_time, norm=\"leahy\")\n", " ```\n", " where the light curve, uniformly binned at 0.1 s, is created internally.\n", "\n", "2. from a `numpy` array of times expressed in seconds, as\n", " ```\n", " bin_time = 0.1\n", " ps = Powerspectrum.from_events(times, dt=bin_time, gti=[[t0, t1], [t2, t3], ...], norm=\"leahy\")\n", " ```\n", " where the light curve, uniformly binned at 0.1 s, is created internally, and the good time intervals (time interval where the instrument was collecting data nominally) are passed by hand.\n", "\n", "3. from an iterable of light curves\n", " ```\n", " ps = Powerspectrum.from_lc_iter(lc_iterable, norm=\"leahy\")\n", " ```\n", " where `lc_iterable` is any iterable of `Lightcurve` objects (list, tuple, generator, etc.)\n", "\n", "Since the negative Fourier frequencies (and their associated powers) are discarded, the number of time bins per segment `n` is twice the length of `freq` and `power`." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Size of positive Fourier frequencies: 127\n", "Number of data points per segment: 256\n" ] } ], "source": [ "print(\"\\nSize of positive Fourier frequencies:\", len(ps.freq))\n", "print(\"Number of data points per segment:\", ps.n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Properties\n", "A `Powerspectrum` object has the following properties :\n", "\n", "1. `freq` : Numpy array of mid-bin frequencies that the Fourier transform samples.\n", "2. `power` : Numpy array of the power spectrum.\n", "3. `df` : The frequency resolution.\n", "4. `m` : The number of power spectra averaged together. For a `Powerspectrum` of a single segment, `m=1`.\n", "5. `n` : The number of data points (time bins) in one segment of the light curve.\n", "6. `nphots1` : The total number of photons in the light curve.\n", "7. `norm` : The normalization, one of `leahy` (Leahy et al. 1983), `abs` (absolute rms), `frac` (fractional rms), or `none`\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.125 0.25 0.375 0.5 0.625 0.75 0.875 1. 1.125 1.25\n", " 1.375 1.5 1.625 1.75 1.875 2. 2.125 2.25 2.375 2.5\n", " 2.625 2.75 2.875 3. 3.125 3.25 3.375 3.5 3.625 3.75\n", " 3.875 4. 4.125 4.25 4.375 4.5 4.625 4.75 4.875 5.\n", " 5.125 5.25 5.375 5.5 5.625 5.75 5.875 6. 6.125 6.25\n", " 6.375 6.5 6.625 6.75 6.875 7. 7.125 7.25 7.375 7.5\n", " 7.625 7.75 7.875 8. 8.125 8.25 8.375 8.5 8.625 8.75\n", " 8.875 9. 9.125 9.25 9.375 9.5 9.625 9.75 9.875 10.\n", " 10.125 10.25 10.375 10.5 10.625 10.75 10.875 11. 11.125 11.25\n", " 11.375 11.5 11.625 11.75 11.875 12. 12.125 12.25 12.375 12.5\n", " 12.625 12.75 12.875 13. 13.125 13.25 13.375 13.5 13.625 13.75\n", " 13.875 14. 14.125 14.25 14.375 14.5 14.625 14.75 14.875 15.\n", " 15.125 15.25 15.375 15.5 15.625 15.75 15.875]\n", "[9.75294222e-02 1.37192421e-01 6.62062702e+00 5.42273987e-01\n", " 1.26707856e-01 7.14262683e-02 1.46986106e+00 9.35172244e-01\n", " 2.04574831e+00 4.88638843e-01 1.46127864e+00 3.24027874e+00\n", " 2.95907471e+00 1.46905530e-01 1.42916439e+00 3.58020047e+02\n", " 3.04922773e+00 2.14088855e+00 3.89197375e-01 3.48148529e-01\n", " 2.32409725e+00 3.72418140e+00 5.10604734e-01 5.98258473e-01\n", " 1.75462401e+00 2.24000263e-01 1.06137267e+00 1.07517074e+01\n", " 1.14917349e+00 4.59646030e-01 1.30278344e-01 2.09102366e+00\n", " 2.17910753e-01 5.49240044e+00 7.32466747e-01 3.46833517e+00\n", " 1.93866299e-01 3.93997974e-02 1.97441653e+00 4.28610905e+00\n", " 2.93970456e-01 2.72920344e+00 4.52529974e+00 5.42552369e+00\n", " 3.00538316e+00 3.14413850e+00 1.65733555e-01 6.16733137e-01\n", " 2.85338470e+00 5.56565439e+00 1.60825816e+00 2.83059003e+00\n", " 3.84807029e+00 6.35749643e-01 2.52661012e-01 9.73415923e-02\n", " 2.64107250e+00 1.31206307e-01 2.20321939e+00 2.08750811e+00\n", " 4.61234244e+00 1.15633604e+00 3.60363976e-01 2.24498998e+00\n", " 1.71646651e+00 3.38371881e+00 3.32514629e-02 1.67607504e+00\n", " 1.77957522e+00 6.92787087e-01 3.35553415e+00 1.94034115e+00\n", " 1.16770721e+00 3.76130715e+00 4.34584431e-01 5.72348179e-01\n", " 1.14572517e+00 1.41890460e+00 1.64121258e-01 1.96499122e+00\n", " 3.52679951e+00 2.58201128e+00 1.05541840e+00 3.76982654e-01\n", " 3.81558230e-01 1.09665960e+00 3.52309943e+00 3.00115328e+00\n", " 2.81888737e-01 3.46916554e-02 4.78900280e-01 5.10837621e+00\n", " 7.05428845e+00 1.79144555e+00 1.45542292e+00 4.14645129e+00\n", " 5.47936328e-01 1.43060457e-01 3.85238243e-01 2.86842673e+00\n", " 7.07492195e-01 2.11192195e+00 8.18724669e-02 3.11165001e+00\n", " 2.71594888e+00 8.22251145e+00 4.21393967e+00 4.85809743e-01\n", " 1.66578478e+00 4.52801220e-01 1.39963588e+00 3.83710679e+00\n", " 8.29760812e-02 2.04827673e-01 4.46966187e-01 4.58682373e+00\n", " 5.11398498e-01 7.53864807e-01 1.49293643e-01 1.48889204e+00\n", " 1.55536424e-01 1.34814529e-01 1.31907922e-01 1.49852755e+00\n", " 8.75140990e-01 9.00289904e-02 4.72042936e+00]\n", "0.125\n", "1\n", "256\n", "7984.0\n" ] } ], "source": [ "print(ps.freq)\n", "print(ps.power)\n", "print(ps.df)\n", "print(ps.m)\n", "print(ps.n)\n", "print(ps.nphots1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot the power as a function of Fourier frequency. Notice how there's a spike at our signal frequency of 2 Hz!" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots(1,1,figsize=(9,6), sharex=True)\n", "ax1.plot(ps.freq, ps.power, lw=2, color='blue')\n", "ax1.set_ylabel(\"Frequency (Hz)\", fontproperties=font_prop)\n", "ax1.set_ylabel(\"Power (raw)\", fontproperties=font_prop)\n", "ax1.set_yscale('log')\n", "ax1.tick_params(axis='x', labelsize=16)\n", "ax1.tick_params(axis='y', labelsize=16)\n", "ax1.tick_params(which='major', width=1.5, length=7)\n", "ax1.tick_params(which='minor', width=1.5, length=4)\n", "for axis in ['top', 'bottom', 'left', 'right']:\n", " ax1.spines[axis].set_linewidth(1.5)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You'll notice that the power spectrum is a bit noisy. This is because we're only using one segment of data. Let's try averaging together power spectra from multiple segments of data.\n", "# Averaged power spectrum example\n", "You could use a long `Lightcurve` and have `AveragedPowerspectrum` chop it into specified segments, or give a list of `Lightcurve`s where each segment of `Lightcurve` is the same length. We'll show the first way here.\n", "## 1. Create a long light curve.\n", "Generate an array of relative timestamps that's 1600 seconds long, and a signal in count units, with the same properties as the previous example. We then add Poisson noise and turn it into a `Lightcurve` object." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "long_dt = 0.03125 # seconds\n", "long_exposure = 1600. # seconds\n", "long_times = np.arange(0, long_exposure, long_dt) # seconds\n", "\n", "# In count rate units here\n", "long_signal = 300 * np.sin(2.*np.pi*long_times/0.5) + 1000\n", "\n", "# Multiply by dt to get count units, then add Poisson noise\n", "long_noisy = np.random.poisson(long_signal*dt)\n", "\n", "long_lc = Lightcurve(long_times, long_noisy, dt=long_dt, skip_checks=True)\n", "\n", "fig, ax = plt.subplots(1,1,figsize=(10,6))\n", "ax.plot(long_lc.time, long_lc.counts, lw=2, color='blue')\n", "ax.set_xlim(0,20)\n", "ax.set_xlabel(\"Time (s)\", fontproperties=font_prop)\n", "ax.set_ylabel(\"Counts (cts)\", fontproperties=font_prop)\n", "ax.tick_params(axis='x', labelsize=16)\n", "ax.tick_params(axis='y', labelsize=16)\n", "ax.tick_params(which='major', width=1.5, length=7)\n", "ax.tick_params(which='minor', width=1.5, length=4)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Pass the light curve to the `AveragedPowerspectrum` class with a specified `segment_size`.\n", "If the exposure (length) of the light curve cannot be divided by `segment_size` with a remainder of zero, the last incomplete segment is thrown out, to avoid signal artefacts. Here we're using 8 second segments." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "200it [00:00, 50515.52it/s]\n" ] } ], "source": [ "avg_ps = AveragedPowerspectrum.from_lightcurve(long_lc, 8., norm=\"leahy\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can check how many segments were averaged together by printing the `m` attribute." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of segments: 200\n" ] } ], "source": [ "print(\"Number of segments: %d\" % avg_ps.m)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`AveragedPowerspectrum` has the same properties as `Powerspectrum`, but with `m` $>$1.\n", "\n", "Let's plot the averaged power spectrum!" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots(1,1,figsize=(9,6))\n", "ax1.plot(avg_ps.freq, avg_ps.power, lw=2, color='blue')\n", "ax1.set_xlabel(\"Frequency (Hz)\", fontproperties=font_prop)\n", "ax1.set_ylabel(\"Power (raw)\", fontproperties=font_prop)\n", "ax1.set_yscale('log')\n", "ax1.tick_params(axis='x', labelsize=16)\n", "ax1.tick_params(axis='y', labelsize=16)\n", "ax1.tick_params(which='major', width=1.5, length=7)\n", "ax1.tick_params(which='minor', width=1.5, length=4)\n", "for axis in ['top', 'bottom', 'left', 'right']:\n", " ax1.spines[axis].set_linewidth(1.5)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we'll show examples of all the things you can do with a `Powerspectrum` or `AveragedPowerspectrum` object using built-in stingray methods.\n", "\n", "# Normalizating the power spectrum\n", "The three kinds of normalization are:\n", "* `leahy`: Leahy normalization. Makes the Poisson noise level $= 2$. See *Leahy et al. 1983, ApJ, 266, 160L*. \n", "* `frac`: Fractional rms-squared normalization, also known as rms normalization. Makes the Poisson noise level $= 2 / meanrate$. See *Belloni & Hasinger 1990, A&A, 227, L33*, and *Miyamoto et al. 1992, ApJ, 391, L21.*\n", "* `abs`: Absolute rms-squared normalization, also known as absolute normalization. Makes the Poisson noise level $= 2 \\times meanrate$. See *insert citation*.\n", "* `none`: No normalization applied. This is the default." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "200it [00:00, 56159.93it/s]\n", "200it [00:00, 56752.64it/s]\n", "200it [00:00, 43677.02it/s]\n" ] } ], "source": [ "avg_ps_leahy = AveragedPowerspectrum.from_lightcurve(long_lc, 8, norm='leahy')\n", "avg_ps_frac = AveragedPowerspectrum.from_lightcurve(long_lc, 8., norm='frac')\n", "avg_ps_abs = AveragedPowerspectrum.from_lightcurve(long_lc, 8., norm='abs')" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, [ax1, ax2, ax3] = plt.subplots(3,1,figsize=(6,12))\n", "ax1.plot(avg_ps_leahy.freq, avg_ps_leahy.power, lw=2, color='black')\n", "ax1.set_xlabel(\"Frequency (Hz)\", fontproperties=font_prop)\n", "ax1.set_ylabel(\"Power (Leahy)\", fontproperties=font_prop)\n", "ax1.set_yscale('log')\n", "ax1.tick_params(axis='x', labelsize=14)\n", "ax1.tick_params(axis='y', labelsize=14)\n", "ax1.tick_params(which='major', width=1.5, length=7)\n", "ax1.tick_params(which='minor', width=1.5, length=4)\n", "ax1.set_title(\"Leahy norm.\", fontproperties=font_prop)\n", " \n", "ax2.plot(avg_ps_frac.freq, avg_ps_frac.power, lw=2, color='black')\n", "ax2.set_xlabel(\"Frequency (Hz)\", fontproperties=font_prop)\n", "ax2.set_ylabel(\"Power (rms)\", fontproperties=font_prop)\n", "ax2.tick_params(axis='x', labelsize=14)\n", "ax2.tick_params(axis='y', labelsize=14)\n", "ax2.set_yscale('log')\n", "ax2.tick_params(which='major', width=1.5, length=7)\n", "ax2.tick_params(which='minor', width=1.5, length=4)\n", "ax2.set_title(\"Fractional rms-squared norm.\", fontproperties=font_prop)\n", "\n", "ax3.plot(avg_ps_abs.freq, avg_ps_abs.power, lw=2, color='black')\n", "ax3.set_xlabel(\"Frequency (Hz)\", fontproperties=font_prop)\n", "ax3.set_ylabel(\"Power (abs)\", fontproperties=font_prop)\n", "ax3.tick_params(axis='x', labelsize=14)\n", "ax3.tick_params(axis='y', labelsize=14)\n", "ax3.set_yscale('log')\n", "ax3.tick_params(which='major', width=1.5, length=7)\n", "ax3.tick_params(which='minor', width=1.5, length=4)\n", "ax3.set_title(\"Absolute rms-squared norm.\", fontproperties=font_prop)\n", "\n", "for axis in ['top', 'bottom', 'left', 'right']:\n", " ax1.spines[axis].set_linewidth(1.5)\n", " ax2.spines[axis].set_linewidth(1.5)\n", " ax3.spines[axis].set_linewidth(1.5)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Re-binning a power spectrum in frequency\n", "Typically, rebinning is done on an averaged, normalized power spectrum.\n", "## 1. We can linearly re-bin a power spectrum\n", "(although this is not done much in practice)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DF before: 0.125\n", "DF after: 0.25\n" ] } ], "source": [ "print(\"DF before:\", avg_ps.df)\n", "# Both of the following ways are allowed syntax:\n", "# lin_rb_ps = Powerspectrum.rebin(avg_ps, 0.25, method='mean')\n", "lin_rb_ps = avg_ps.rebin(0.25, method='mean')\n", "print(\"DF after:\", lin_rb_ps.df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. And we can logarithmically/geometrically re-bin a power spectrum\n", "In this re-binning, each bin size is 1+f times larger than the previous bin size, where `f` is user-specified and normally in the range 0.01-0.1. The default value is `f=0.01`." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# Both of the following ways are allowed syntax:\n", "# log_rb_ps, log_rb_freq, binning = Powerspectrum.rebin_log(avg_ps, f=0.02)\n", "log_rb_ps = ps.rebin_log(f=0.02)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Like `rebin`, `rebin_log` returns a `Powerspectrum` or `AveragedPowerspectrum` object (depending on the input object):" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "print(type(lin_rb_ps))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Power spectra of normal-distributed light curves\n", "\n", "Starting with Stingray 0.3, we can also get Leahy-normalized power spectra of normally-distributed light curves.\n", "Let us calculate such a light curve by subtracting the noise level and normalizing\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "long_norm = (long_noisy - long_noisy.mean()) / long_noisy.max()\n", "err = np.sqrt(long_noisy.mean()) / long_noisy.max()\n", "\n", "long_lc_gauss = Lightcurve(long_times, long_norm, err=np.zeros_like(long_norm) + err, dt=long_dt, skip_checks=True, err_dist='gauss')\n", "\n", "fig, ax = plt.subplots(1,1,figsize=(10, 6))\n", "ax.plot(long_lc.time, long_lc.counts, lw=2, color='blue', label='Original light curve')\n", "ax.plot(long_lc_gauss.time, long_lc_gauss.counts, lw=2, color='red', label='Normalized light curve')\n", "ax.set_xlim(0,20)\n", "ax.set_xlabel(\"Time (s)\", fontproperties=font_prop)\n", "ax.set_ylabel(\"Counts (cts)\", fontproperties=font_prop)\n", "ax.tick_params(axis='x', labelsize=16)\n", "ax.tick_params(axis='y', labelsize=16)\n", "ax.tick_params(which='major', width=1.5, length=7)\n", "ax.tick_params(which='minor', width=1.5, length=4)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "200it [00:00, 46520.67it/s]\n", "200it [00:00, 39276.19it/s]\n", "200it [00:00, 43715.71it/s]\n" ] } ], "source": [ "avg_ps_gauss_leahy = AveragedPowerspectrum.from_lightcurve(long_lc_gauss, 8, norm='leahy')\n", "avg_ps_gauss_frac = AveragedPowerspectrum.from_lightcurve(long_lc_gauss, 8., norm='frac')\n", "avg_ps_gauss_abs = AveragedPowerspectrum.from_lightcurve(long_lc_gauss, 8., norm='abs')" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, [ax1, ax2, ax3] = plt.subplots(3,1,figsize=(6,12))\n", "ax1.plot(avg_ps_leahy.freq, avg_ps_leahy.power, lw=2, color='black')\n", "ax1.plot(avg_ps_gauss_leahy.freq, avg_ps_gauss_leahy.power, lw=2, color='red', zorder=10)\n", "ax1.set_xlabel(\"Frequency (Hz)\", fontproperties=font_prop)\n", "ax1.set_ylabel(\"Power (Leahy)\", fontproperties=font_prop)\n", "ax1.set_yscale('log')\n", "ax1.tick_params(axis='x', labelsize=14)\n", "ax1.tick_params(axis='y', labelsize=14)\n", "ax1.tick_params(which='major', width=1.5, length=7)\n", "ax1.tick_params(which='minor', width=1.5, length=4)\n", "ax1.set_title(\"Leahy norm.\", fontproperties=font_prop)\n", " \n", "ax2.plot(avg_ps_frac.freq, avg_ps_frac.power, lw=2, color='black')\n", "ax2.plot(avg_ps_gauss_frac.freq, avg_ps_gauss_frac.power, lw=2, color='red')\n", "ax2.set_xlabel(\"Frequency (Hz)\", fontproperties=font_prop)\n", "ax2.set_ylabel(\"Power (rms)\", fontproperties=font_prop)\n", "ax2.tick_params(axis='x', labelsize=14)\n", "ax2.tick_params(axis='y', labelsize=14)\n", "ax2.set_yscale('log')\n", "ax2.tick_params(which='major', width=1.5, length=7)\n", "ax2.tick_params(which='minor', width=1.5, length=4)\n", "ax2.set_title(\"Fractional rms-squared norm.\", fontproperties=font_prop)\n", "\n", "ax3.plot(avg_ps_abs.freq, avg_ps_abs.power, lw=2, color='black')\n", "ax3.plot(avg_ps_gauss_abs.freq, avg_ps_gauss_abs.power, lw=2, color='red')\n", "ax3.set_xlabel(\"Frequency (Hz)\", fontproperties=font_prop)\n", "ax3.set_ylabel(\"Power (abs)\", fontproperties=font_prop)\n", "ax3.tick_params(axis='x', labelsize=14)\n", "ax3.tick_params(axis='y', labelsize=14)\n", "ax3.set_yscale('log')\n", "ax3.tick_params(which='major', width=1.5, length=7)\n", "ax3.tick_params(which='minor', width=1.5, length=4)\n", "ax3.set_title(\"Absolute rms-squared norm.\", fontproperties=font_prop)\n", "\n", "for axis in ['top', 'bottom', 'left', 'right']:\n", " ax1.spines[axis].set_linewidth(1.5)\n", " ax2.spines[axis].set_linewidth(1.5)\n", " ax3.spines[axis].set_linewidth(1.5)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, the Leahy normalization, being normalized by the variance, yields *exactly* the same result in the Gaussian and the Poisson case, while the fractional rms (that depends on the mean count rate) and the absolute rms (that depend on the variance and the mean count rate) change." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.8" } }, "nbformat": 4, "nbformat_minor": 1 }