{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "0a564915", "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "\n", "import numpy as np\n", "from stingray import StingrayTimeseries, EventList, Lightcurve, Powerspectrum\n", "import matplotlib.pyplot as plt\n" ] }, { "cell_type": "markdown", "id": "350ab06d", "metadata": {}, "source": [ "## Why using weights?\n", "\n", "In some missions like Fermi, events are assigned a weight. The weight measures the probability that a given event is associated with the source, based on position and data quality.\n", "\n", "In this tutorial, we go beyond the concept of count light curves and show how to use weighted event lists. We will use `StingrayTimeseries` objects, that allow for more flexibility than `Lightcurve`s.\n", "\n", "Note that that weight can have any name. Here, we will call it `poids`, using the French term for `weight`\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "fbf90998", "metadata": { "scrolled": true }, "outputs": [], "source": [ "# The FOV is assumed to be a detector with 1000 x 1000 pixels\n", "center = 50\n", "# The source is right at the center, with a Gaussian spread of 10 pixels\n", "pixel_spread = 3\n", "min_pixel = 1\n", "max_pixel = 100\n", "\n", "# Create an event list with a pulsation\n", "freq = 1.2\n", "ampl = 1.\n", "\n", "# Input Light curve characteristics\n", "t0 = 0\n", "t1 = 1000\n", "# Dt should be smaller and not an integer divisor of the period\n", "dt = 1 / np.sqrt(971*3) / freq\n", "times = np.arange(t0 + dt/2, t1 - dt/2, dt)\n", "\n", "# The actual number will be a random number, Poisson-distributed\n", "raw_n_pulsed_counts = 2000\n", "n_background_counts = np.random.poisson(200000)\n", "\n", "# Normalize so that the sum gives the number of expected counts\n", "continuous_pulsed_counts = (1 + ampl * np.sin(2 * np.pi * freq * times))\n", "continuous_pulsed_counts /= np.sum(continuous_pulsed_counts)\n", "continuous_pulsed_counts *= raw_n_pulsed_counts\n", "\n", "# This light curve only serves the purpose of the simulation\n", "continuous_pulsed_lc = Lightcurve(times, continuous_pulsed_counts, dt=dt, skip_checks=True)\n", "\n", "pulsed_ev = EventList(gti=np.asarray([[t0, t1]]))\n", "pulsed_ev.simulate_times(continuous_pulsed_lc)\n", "n_pulsed_counts = pulsed_ev.time.size\n", "\n", "unpulsed_ev = EventList(np.sort(np.random.uniform(t0, t1, n_background_counts)), gti=pulsed_ev.gti)\n", "\n", "# Now, give each event a position. \n", "pulsed_ev.x = np.random.normal(center, pixel_spread, n_pulsed_counts)\n", "pulsed_ev.y = np.random.normal(center, pixel_spread, n_pulsed_counts)\n", "\n", "unpulsed_ev.x = np.random.uniform(min_pixel, max_pixel, n_background_counts)\n", "unpulsed_ev.y = np.random.uniform(min_pixel, max_pixel, n_background_counts)\n", "\n", "ev = pulsed_ev.join(unpulsed_ev)\n", "\n", "# The weight is a probability that an event is from the source, given the \n", "# distance from the center of the FOV.\n", "weight = 1 / (2 * np.pi * pixel_spread**2)*np.exp(-0.5 / pixel_spread**2 * ((ev.x - center)**2 + (ev.y - center)**2))\n", "# weight[weight < 1e-10] = 0\n", "ev.poids = weight\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "24499117", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist2d(ev.x, ev.y, bins=100, cmap=\"twilight\");" ] }, { "cell_type": "code", "execution_count": 4, "id": "737473bb", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist2d(ev.x, ev.y, weights=ev.poids, bins=100, cmap=\"twilight\");\n" ] }, { "cell_type": "markdown", "id": "83c88589", "metadata": {}, "source": [ "Now, let us create a `StingrayTimeseries` object from this event list. \n", "\n", "By default, the `to_binned_timeseries` method calculates a series from the weighted sum of all attributes of the same length of `ev.time` (such as `x` and `y`), plus the number of counts per bin (like in `Lightcurve`).\n", "\n", "However, one can specify a list of attributes to weigh on through the `array_attrs` keyword." ] }, { "cell_type": "code", "execution_count": 5, "id": "939cde48", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Attributes without the array_attrs keyword: ['counts', 'poids', 'x', 'y']\n", "Attributes with the array_attrs keyword: ['counts', 'poids']\n" ] } ], "source": [ "# Let's use a different dt\n", "ts_dt = 1 / np.sqrt(89) / freq\n", "ts_all = ev.to_binned_timeseries(ts_dt)\n", "ts = ev.to_binned_timeseries(ts_dt, array_attrs={\"poids\"})\n", "\n", "print(\"Attributes without the array_attrs keyword:\", ts_all.array_attrs())\n", "print(\"Attributes with the array_attrs keyword:\", ts.array_attrs())" ] }, { "cell_type": "markdown", "id": "c563c288", "metadata": {}, "source": [ "Since event lists might have many attributes, it is advisable to select which ones to transform in weights.\n", "\n", "Giving an empty dictionary (`array_attrs={}`) creates something very similar to a standard `Lightcurve` " ] }, { "cell_type": "markdown", "id": "aba0cbaf", "metadata": {}, "source": [ "Finally, for usage with `Powerspectrum`, let us assign a mean error for the weights. This will only work and make sense when the vast majority of events are from noise." ] }, { "cell_type": "code", "execution_count": 6, "id": "06a72161", "metadata": {}, "outputs": [], "source": [ "ts.poids_err = np.zeros_like(ts.poids) + np.std(ts.poids)\n" ] }, { "cell_type": "markdown", "id": "7ebae9e1", "metadata": {}, "source": [ "## Timing analysis using StingrayTimeseries\n", "\n", "The timing analysis that can be done with a StingrayTimeseries object is very similar to the one doable with a `Lightcurve`. For example, we can call the `from_stingray_timeseries` method of `Powerspectrum`. \n", "\n", "Note that in this case we have to specify which attribute to use as flux (in the `from_lightcurve` method, `counts` was the default). For this, we use the `flux_attr` keyword.\n", "\n", "We can also, optionally, specify another attribute which will serve as an error bar for those normalizations where it makes sense. For this, we use the `error_flux_attr` keyword." ] }, { "cell_type": "code", "execution_count": 7, "id": "d0d9a70c", "metadata": {}, "outputs": [], "source": [ "ps_counts = \\\n", " Powerspectrum.from_stingray_timeseries(ts, flux_attr=\"counts\", norm=\"leahy\")\n", "ps_weighted = \\\n", " Powerspectrum.from_stingray_timeseries(\n", " ts, flux_attr=\"poids\", error_flux_attr=\"poids_err\", norm=\"leahy\")" ] }, { "cell_type": "code", "execution_count": 8, "id": "4444acb3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "higher = ps_weighted.power.max() > ps_counts.power.max()\n", "\n", "plt.plot(ps_counts.freq, \n", " ps_counts.power, \n", " ds=\"steps-mid\", alpha=0.8, zorder=(10 if higher else 0))\n", "plt.plot(ps_weighted.freq, \n", " ps_weighted.power, \n", " ds=\"steps-mid\", alpha=0.8, zorder=(10 if not higher else 0))\n", "plt.axvline(freq, ls=\":\", alpha=0.5)" ] }, { "cell_type": "code", "execution_count": 9, "id": "76d8e1b2", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2, 1021.5756611715042)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(ps_counts.freq, \n", " ps_counts.power, \n", " ds=\"steps-mid\", alpha=0.8, zorder=(10 if higher else 0))\n", "plt.plot(ps_weighted.freq, \n", " ps_weighted.power, \n", " ds=\"steps-mid\", alpha=0.8, zorder=(10 if not higher else 0))\n", "plt.axvline(freq, ls=\":\", alpha=0.5)\n", "plt.semilogy()\n", "plt.ylim(2, None)" ] }, { "cell_type": "markdown", "id": "356a267e", "metadata": {}, "source": [ "As we can see, the analysis using weights has found the pulsation whereas the one considering just the events hasn't.\n", "\n", "This was a very trivial case, where the selection could have been done by just selecting events around the source position. But weights might take into account many other factors, such as the energy, the data quality, and more.\n" ] }, { "cell_type": "markdown", "id": "8ff2add9", "metadata": {}, "source": [ "## Polarimetric light curves\n", "\n", "\n", "Another case that might be useful is when we are looking for a pulsation not in the flux, but in some other quantity. This might be the case, for example, in polarimetric light curves.\n", "\n", "In the following example, we introduce a significant periodic change of polarization in a signal which has no periodic modulation of the flux.\n" ] }, { "cell_type": "code", "execution_count": 10, "id": "cf2505cb", "metadata": {}, "outputs": [], "source": [ "def extract_varying_random_photon_angles(photon_times, psi_mean=0, psi_amp=0, pd_mean=0, pd_amp=0, freq=1., n_bins_per_cycle=16, N =100):\n", " from scipy.interpolate import interp1d\n", "\n", " pulse_cycles = photon_times * freq\n", " pulse_cycle_frac = pulse_cycles - np.floor(pulse_cycles)\n", " order = np.argsort(pulse_cycle_frac)\n", " disordered_photon_times = photon_times[order]\n", "\n", " sorted_cycle_frac = pulse_cycle_frac[order]\n", "\n", " random_angles = np.zeros_like(photon_times)\n", "\n", " idx0 = 0\n", " delta_cycle_frac = 1 / n_bins_per_cycle\n", " angles = np.linspace(0, np.pi * 2, N + 1)[:-1]\n", " baseline = photon_times.size / n_bins_per_cycle\n", " A_mean = pd_mean * baseline\n", " A_amp = pd_amp * baseline\n", " for cycle_no in range(n_bins_per_cycle):\n", " idx1 = np.searchsorted(sorted_cycle_frac[idx0:], (1 + cycle_no) * delta_cycle_frac)\n", "\n", " sorted_cycle_frac_good = sorted_cycle_frac[idx0: idx0 + idx1]\n", " n_phot = sorted_cycle_frac_good.size\n", " mean_cycle_frac = (0.5 + cycle_no) * delta_cycle_frac\n", " A = A_mean + A_amp * np.cos(2 * np.pi * mean_cycle_frac)\n", " psi = psi_mean + psi_amp * np.cos(2 * np.pi * mean_cycle_frac)\n", "\n", " # TODO: be safe at edges of distribution\n", " # The distribution is the one expected for polarization angles.\n", " distr = A * np.cos(2 * (angles+ psi)) + baseline\n", "\n", " norm_distr = distr / distr.sum()\n", " dph = 1 / distr.size\n", " cdf = np.cumsum(norm_distr)\n", " cdf = np.concatenate(([0], cdf))\n", "\n", " interp = interp1d(cdf, np.arange(0, 1 + dph, dph) * (2 * np.pi), kind=\"cubic\", fill_value=\"extrapolate\")\n", "\n", " # Generate random values of polarization angle with the inverse CDF method.\n", " random_cdf_val = np.random.uniform(0, 1, n_phot)\n", " random_angles[idx0: idx0 + idx1] = interp(random_cdf_val)\n", " # Note that we searched from idx0 on\n", " idx0 += idx1\n", "\n", " order = np.argsort(disordered_photon_times)\n", " return random_angles[order]\n", "\n", "\n", "def plot_angle_distribution_with_pulse_phase(photon_times, random_angles, freq):\n", " pulse_phase = (photon_times * freq)\n", " pulse_phase -= np.floor(pulse_phase)\n", "\n", " fig = plt.figure()\n", " gs = fig.add_gridspec(2, 2, hspace=0, wspace=0, height_ratios=[1, 2], width_ratios=[2, 1])\n", " # gs = plt.GridSpec(2, 2, height_ratios=[1, 2], width_ratios=[2, 1])\n", "\n", " (ax00, ax01), (ax10, ax11) = gs.subplots(sharex='col', sharey='row')\n", "\n", " h2, binsx, binsy, _ = ax10.hist2d(pulse_phase, random_angles, vmin=0, bins=(32, 16), cmap=\"twilight\")\n", " ax10.set_ylabel(r\"$\\psi$\")\n", " ax10.set_xlabel(r\"Pulse phase\")\n", " mean_binsx = (binsx[:-1] + binsx[:-1]) / 2\n", " mean_binsy = (binsy[:-1] + binsy[:-1]) / 2\n", " for i in range(h2.shape[1]):\n", " ax00.plot(mean_binsx, h2[:, i])\n", " for i in range(h2.shape[0]):\n", " ax11.plot(h2[i, :], mean_binsy)\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 11, "id": "65f034f4", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_photons = 100000\n", "psi_mean = np.radians(22.5)\n", "# Photon times are completely random. No pulsation\n", "photon_times = np.sort(np.random.uniform(t0, t1, n_photons))\n", "\n", "# Here we generate polarization angles for all the photons\n", "random_angles = extract_varying_random_photon_angles(\n", " photon_times, \n", " psi_mean=psi_mean, \n", " psi_amp=0, # No change of polarization angle\n", " pd_mean=0.5, # A mean polarization degree of 50%\n", " pd_amp=0.1, # A *change* of polarization degree by 10%\n", " freq=freq)\n", "\n", "plot_angle_distribution_with_pulse_phase(photon_times, random_angles, freq)\n" ] }, { "cell_type": "markdown", "id": "65b47c0d", "metadata": {}, "source": [ "The plot above shows the change of the modulation curve with pulse phase. Please note: there is no change of flux. There is no pulsation that can be seen in the here, in the pulsed profile (red bands indicate 1, 2, and 3 sigma deviations from the mean):" ] }, { "cell_type": "code", "execution_count": 12, "id": "62e31e68", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Counts')" ] }, "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": [ "phases = (photon_times / freq) % 1\n", "\n", "profile, _ = np.histogram(phases, bins=np.linspace(0, 1, 17))\n", "\n", "mean = profile.mean()\n", "for nsigma in range(1, 4):\n", " plt.axhspan(mean - nsigma * np.sqrt(mean), mean + nsigma * np.sqrt(mean), alpha=0.5, color=\"red\")\n", "plt.plot(profile, ds=\"steps-mid\", zorder=10)\n", "plt.axhline(mean, ls=\":\")\n", "plt.xlabel(\"Pulse Phase\")\n", "plt.ylabel(\"Counts\")" ] }, { "cell_type": "markdown", "id": "99e027ab", "metadata": {}, "source": [ "Now, let us put the polarimetric information in the form of Stokes parameters in an `EventList` object." ] }, { "cell_type": "code", "execution_count": 13, "id": "e2a4ad9b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['counts', 'q', 'u']" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ev_polar = EventList(time=photon_times, gti=[[t0, t1]])\n", "ev_polar.q = np.cos(2 * random_angles)\n", "ev_polar.u = np.sin(2 * random_angles)\n", "\n", "ts_polar = ev_polar.to_binned_timeseries(dt=ts_dt, array_attrs=[\"q\", \"u\"])\n", "ts_polar.array_attrs()" ] }, { "cell_type": "code", "execution_count": 14, "id": "98dfd14f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = Powerspectrum.from_stingray_timeseries(ts_polar, flux_attr=\"q\").plot()\n", "ax.axvline(freq, ls=\":\", color=\"k\")" ] }, { "cell_type": "markdown", "id": "d6988516", "metadata": {}, "source": [ "A pulsation in the Q Stokes parameter! Let us see the U parameter:" ] }, { "cell_type": "code", "execution_count": 15, "id": "844eda9e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = Powerspectrum.from_stingray_timeseries(ts_polar, flux_attr=\"u\").plot()\n", "ax.axvline(freq, ls=\":\", color=\"k\")" ] }, { "cell_type": "markdown", "id": "7df924b1", "metadata": {}, "source": [ "Of course, different mean polarization angles will lead to very different contributions in the U and Q parameters. Our choice of 22.5 degrees was made on purpose, to have similar contributions in the two parameters." ] }, { "cell_type": "markdown", "id": "619fe79a", "metadata": {}, "source": [ "To reiterate that this pulsation cannot be seen in the flux, we plot the standard power spectrum:" ] }, { "cell_type": "code", "execution_count": 16, "id": "e85807ea", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = Powerspectrum.from_stingray_timeseries(ts_polar, flux_attr=\"counts\").plot()\n", "ax.axvline(freq, ls=\":\", color=\"k\")" ] }, { "cell_type": "code", "execution_count": null, "id": "33ce87b1", "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 }