{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "d1f2bd82", "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "import copy\n", "from stingray import EventList, AveragedPowerspectrum, AveragedCrossspectrum, Powerspectrum, LombScarglePowerspectrum\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "ev1 = EventList.read(\"nustar_A_src.evt\", fmt=\"ogip\")\n", "ev2 = EventList.read(\"nustar_B_src.evt\", fmt=\"ogip\")\n", "\n", "ev_tot = ev1.join(ev2)\n" ] }, { "cell_type": "markdown", "id": "c5a1d8f4", "metadata": {}, "source": [ "# Observations with frequent data gaps\n", "\n", "Many X-ray missions are in low-Earth orbits, which means that their target is often occulted by the Earth. Additionally, these satellites can pass through the South-Atlantic Anomaly, where the flux of particles increases the background (and, in some cases, might even damage the detector, so the Science Operations centers often just switch the instruments off for protection).\n", "\n", "This observation of an accreting black hole is an example. Here, transparent red stripes indicate occultation and other bad-data time intervals, while data in good time intervals are plotted in blue:" ] }, { "cell_type": "code", "execution_count": 2, "id": "487d4764", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc_10 = ev_tot.to_lc(dt=10)\n", "plt.plot(lc_10.time - lc_10.time[0], lc_10.counts, color=\"grey\")\n", "lc_10.apply_gtis(inplace=True)\n", "plt.plot(lc_10.time - lc_10.time[0], lc_10.counts)\n", "\n", "plt.xlabel(\"Time (s)\")\n", "plt.ylabel(\"Counts\")\n", "\n", "for g0, g1 in zip(lc_10.gti[:-1], lc_10.gti[1:]):\n", " plt.axvspan(g0[1] - lc_10.time[0], g1[0] - lc_10.time[0], color=\"r\", alpha=0.5, zorder=10)\n" ] }, { "cell_type": "markdown", "id": "f28ccbbf", "metadata": {}, "source": [ "When we study the variability of this light curve, we usually use periodograms. It is well known that these gaps are like square windows, whose Fourier transform has infinite harmonics, and that gets convolved with the actual variability of the data. If we were to ignore the good time intervals and just get a `Periodogram` of the dataset, we would get something like this (the black vertical line indicates the orbital period of the satellite and some of its harmonics):" ] }, { "cell_type": "code", "execution_count": 3, "id": "8cd9cfbc", "metadata": {}, "outputs": [], "source": [ "ev_tot_dirty = copy.deepcopy(ev_tot)\n", "ev_tot_dirty.gti = np.asarray([[ev_tot.gti[0, 0], ev_tot.gti[-1, 1]]])\n", "pds_dirty = Powerspectrum.from_events(ev_tot_dirty, dt=0.01, norm=\"leahy\")\n", "pds_dirty_reb = pds_dirty.rebin_log(0.01)\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "904a460c", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.loglog(pds_dirty_reb.freq, pds_dirty_reb.power, drawstyle=\"steps-mid\")\n", "plt.xlabel(\"Frequency (Hz)\")\n", "plt.ylabel(\"Power (Leahy)\")\n", "for i in range(1, 9):\n", " plt.axvline(i / 97 / 60, ls=\":\", color=\"k\")" ] }, { "cell_type": "code", "execution_count": 5, "id": "07f28d13", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(5e-05, 0.005)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.semilogy(pds_dirty_reb.freq, pds_dirty_reb.power, drawstyle=\"steps-mid\")\n", "plt.xlabel(\"Frequency (Hz)\")\n", "plt.ylabel(\"Power (Leahy)\")\n", "for i in range(1, 30):\n", " plt.axvline(i / 97 / 60, ls=\":\", color=\"k\")\n", "plt.xlim([5e-5, 5e-3])" ] }, { "cell_type": "markdown", "id": "42b87c7c", "metadata": {}, "source": [ "Yes, we do see a nice QPO there, but how can we be sure about the low-frequency continuum when it's so polluted from the harmonics of the observing window?\n", "\n", "A proper treatment of gaps is not possible at these long timescales, but gaps can certainly be ignored at shorter time scales. As we've seen in the `AveragedPowerspectrum` tutorial, we can study the short-term variability with" ] }, { "cell_type": "code", "execution_count": 6, "id": "a71841b4", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "258it [00:00, 1671.53it/s]\n" ] } ], "source": [ "pds = AveragedPowerspectrum(ev_tot, dt=0.01, segment_size=256, norm=\"leahy\")\n", "pds_reb = pds.rebin_log(0.01)" ] }, { "cell_type": "code", "execution_count": 7, "id": "11aff354", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.loglog(pds_dirty_reb.freq, pds_dirty_reb.power, drawstyle=\"steps-mid\", color=\"grey\", alpha=0.5)\n", "plt.loglog(pds_reb.freq, pds_reb.power, drawstyle=\"steps-mid\")\n", "plt.xlabel(\"Frequency (Hz)\")\n", "plt.ylabel(\"Power (Leahy)\")\n", "for i in range(1, 6):\n", " plt.axvline(i / 97 / 60, ls=\":\", color=\"k\")" ] }, { "cell_type": "markdown", "id": "b7af40af", "metadata": {}, "source": [ "Note that, while the \"clean\" and \"dirty\" periodograms at high frequencies mostly match, at low frequencies the two diverge. The low-frequency periodogram cannot be trusted if one does not use some trick to avoid the gaps. \n", "\n", "# The Lomb-Scargle periodogram\n", "\n", "Fortunately, a method exists and is called the *Lomb Scargle periodogram* ([See this review from Jake Van Der Plas](https://iopscience.iop.org/article/10.3847/1538-4365/aab766/pdf))\n", "\n", "The method is slower than the standard periodogram, so we will limit its usage to the interesting frequency range." ] }, { "cell_type": "code", "execution_count": 8, "id": "5d995bbd", "metadata": {}, "outputs": [], "source": [ "maxfreq = 1.\n", "dt = 0.5 / maxfreq # Using the Nyquist limit\n", "ls = LombScarglePowerspectrum(ev_tot, dt=dt, max_freq=maxfreq, norm=\"leahy\")\n", "ls_reb = ls.rebin_log(0.02)\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "69759093", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(pds_dirty_reb.freq, pds_dirty_reb.power, alpha=0.5, ds=\"steps-mid\", label=\"Powerspectrum, ignore gtis\", color=\"grey\")\n", "plt.plot(pds_reb.freq, pds_reb.power, ds=\"steps-mid\", label=\"AveragedPowerspectrum\", zorder=10)\n", "plt.plot(ls_reb.freq, ls_reb.power, ds=\"steps-mid\", label=\"Lomb-Scargle periodogram\")\n", "\n", "plt.loglog()\n", "plt.ylim([1, 1e6])\n", "plt.legend(loc=\"upper right\")\n", "for i in range(1, 6):\n", " plt.axvline(i / 97 / 60, ls=\":\", color=\"k\")" ] }, { "cell_type": "markdown", "id": "06d734f5", "metadata": {}, "source": [ "Now we're talking! The Lomb-Scargle periodogram nicely connects to the low-frequency part of the periodogram. Now, we can try to model the low-frequency continuum more confidently. " ] }, { "cell_type": "code", "execution_count": 10, "id": "59da1227", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(5e-05, 0.003)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.semilogy(pds_dirty_reb.freq, pds_dirty_reb.power, drawstyle=\"steps-mid\")\n", "plt.plot(pds_reb.freq, pds_reb.power, ds=\"steps-mid\", label=\"AveragedPowerspectrum\", zorder=10)\n", "plt.plot(ls_reb.freq, ls_reb.power, ds=\"steps-mid\", label=\"Lomb-Scargle periodogram\")\n", "plt.xlabel(\"Frequency (Hz)\")\n", "plt.ylabel(\"Power (Leahy)\")\n", "for i in range(1, 30):\n", " plt.axvline(i / 97 / 60, ls=\":\", color=\"k\")\n", "plt.xlim([5e-5, 3e-3])" ] }, { "cell_type": "markdown", "id": "81a65e58", "metadata": {}, "source": [ "We might still expect to detect the satellite orbital time scale in the periodogram, due to the imperfect frequency response during the orbit, but it's a lower-order problem now.\n", "\n", "Looking into more detail, the two curves do not exactly match, in particular close to the maximum frequency:" ] }, { "cell_type": "code", "execution_count": 11, "id": "afa946e8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1.0, 10.0)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(pds_dirty_reb.freq, pds_dirty_reb.power, alpha=0.5, ds=\"steps-mid\", label=\"Powerspectrum, ignore gtis\", color=\"grey\")\n", "plt.plot(pds_reb.freq, pds_reb.power, ds=\"steps-mid\", label=\"AveragedPowerspectrum\", zorder=10)\n", "plt.plot(ls_reb.freq, ls_reb.power, ds=\"steps-mid\", label=\"Lomb-Scargle periodogram\")\n", "plt.xlim([0.1, 2])\n", "plt.ylim([1, 10])" ] }, { "cell_type": "markdown", "id": "f26a6319", "metadata": {}, "source": [ "That little \"wiggle\" happens somewhere between 0.5 and 1 times the \"Nyquist\" frequency when data are mostly evenly sampled as in our case. The solution is simply to use a smaller sampling time while maintaining the same maximum frequency." ] }, { "cell_type": "code", "execution_count": 12, "id": "e0fece49", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1.0, 10.0)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "maxfreq = 1.\n", "dt = 0.2 / maxfreq # smaller than the Nyquist limit\n", "ls = LombScarglePowerspectrum(ev_tot, dt=dt, max_freq=maxfreq, norm=\"leahy\")\n", "ls_reb = ls.rebin_log(0.02)\n", "\n", "plt.plot(pds_dirty_reb.freq, pds_dirty_reb.power, alpha=0.5, ds=\"steps-mid\", label=\"Powerspectrum, ignore gtis\", color=\"grey\")\n", "plt.plot(pds_reb.freq, pds_reb.power, ds=\"steps-mid\", label=\"AveragedPowerspectrum\", zorder=10)\n", "plt.plot(ls_reb.freq, ls_reb.power, ds=\"steps-mid\", label=\"Lomb-Scargle periodogram\")\n", "plt.xlim([0.1, 2])\n", "plt.ylim([1, 10])" ] }, { "cell_type": "markdown", "id": "81bffa81", "metadata": {}, "source": [ "# The Cross spectrum\n", "\n", "A great new addition to Stingray is the Lomb-Scargle *cross* spectrum. The cross spectrum is the basis for many of the spectral-timing techniques that Stingray was born for (e.g. the covariance spectrum, time lags). \n", "\n", "Here we show a simple usage of the cross spectrum as a proxy for the (Poisson noise-subtracted) power density spectrum, using two datasets from two identical instruments onboard the same satellite.\n", "\n", "Time lags measured with this cross spectrum make sense in our tests, only when the light curves are sampled at the same times. Also, we do not provide error bars on the time lags at the moment. Use with care!" ] }, { "cell_type": "code", "execution_count": 13, "id": "b047a2f0", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "258it [00:02, 107.72it/s]\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from stingray import LombScargleCrossspectrum\n", "from stingray.gti import cross_two_gtis\n", "gti = cross_two_gtis(ev1.gti, ev2.gti)\n", "ev1.gti = gti\n", "ev2.gti = gti\n", "lscs = LombScargleCrossspectrum(ev1, ev2, dt=dt, norm=\"leahy\")\n", "lscs_reb = lscs.rebin_log(0.01)\n", "\n", "cs = AveragedCrossspectrum(ev1, ev2, dt=0.001, segment_size=256, norm=\"leahy\")\n", "cs_reb = cs.rebin_log(0.02)\n", "\n", "# plt.plot(pds_dirty_reb.freq, pds_dirty_reb.power, alpha=0.5, ds=\"steps-mid\", label=\"Powerspectrum, ignore gtis\", color=\"grey\")\n", "# plt.plot(pds_reb.freq, pds_reb.power, ds=\"steps-mid\", label=\"AveragedPowerspectrum\", zorder=10)\n", "# plt.plot(ls_reb.freq, ls_reb.power, ds=\"steps-mid\", label=\"Lomb-Scargle periodogram\")\n", "plt.plot(cs_reb.freq, cs_reb.power, ds=\"steps-mid\", label=\"AveragedCrossspectrum\", zorder=10)\n", "plt.loglog()\n", "good = lscs_reb.freq < maxfreq / 2\n", "lscs_reb.freq = lscs_reb.freq[good]\n", "lscs_reb.power = lscs_reb.power[good]\n", "lscs_reb.unnorm_power = lscs_reb.unnorm_power[good]\n", "plt.plot(lscs_reb.freq, lscs_reb.power, ds=\"steps-mid\", label=\"Lomb-Scargle cross spectrum\")\n" ] }, { "cell_type": "code", "execution_count": null, "id": "d7fe119a", "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": 5 }