{ "cells": [ { "cell_type": "markdown", "id": "3e048b8e", "metadata": {}, "source": [ "# Timing methods\n", "\n", "This notebook demonstrates some of the \"quick-look\" timing analyses available in `opticam`.\n", "\n", "## Preface\n", "\n", "`stingray` is designed primarily for analysing X-ray data, and so is perhaps not ideal for OPTICAM data products. That said, `stingray` provides a number of useful routines that can (mostly) be applied to arbitrary time series, provided some care is taken.\n", "\n", "## Generating and Reducing Data\n", "\n", "Before we can explore the different timing analyses provided in `opticam`, we need some light curves to analyse. For this example, I'll quickly generate and reduce some gappy observations (see the [Reduction Tutorial](reduction.ipynb) for more details on data reduction):" ] }, { "cell_type": "code", "execution_count": 1, "id": "e1dfb3b9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[OPTICAM] variable source is at (65, 57)\n", "[OPTICAM] variability RMS: 0.02 %\n", "[OPTICAM] variability frequency: 0.135 Hz\n", "[OPTICAM] variability phase lags:\n", " [OPTICAM] g-band: 0.000 radians\n", " [OPTICAM] r-band: 1.571 radians\n", " [OPTICAM] i-band: 3.142 radians\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Generating observations: 100%|██████████|[00:30<00:00]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "[OPTICAM] timing_analysis_tutorial/reduced not found, attempting to create ...\n", "[OPTICAM] timing_analysis_tutorial/reduced created.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n", "[OPTICAM] Scanning data directory: 100%|██████████|[00:01<00:00]\n", "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:207: UserWarning: [OPTICAM] Large time gap detected between 240101g200000108o.fits.gz and 240101g200000374o.fits.gz (48.995 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n", " warnings.warn(string)\n", "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:207: UserWarning: [OPTICAM] Large time gap detected between 240101g200000449o.fits.gz and 240101g200000010o.fits.gz (19.998 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n", " warnings.warn(string)\n", "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:207: UserWarning: [OPTICAM] Large time gap detected between 240101g200000469o.fits.gz and 240101g200000233o.fits.gz (58.994 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n", " warnings.warn(string)\n", "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:207: UserWarning: [OPTICAM] Large time gap detected between 240101g200000369o.fits.gz and 240101g200000415o.fits.gz (10.999 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n", " warnings.warn(string)\n", "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:207: UserWarning: [OPTICAM] Large time gap detected between 240101g200000319o.fits.gz and 240101g200000464o.fits.gz (24.998 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n", " warnings.warn(string)\n", "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:207: UserWarning: [OPTICAM] Large time gap detected between 240101i200000118o.fits.gz and 240101i200000169o.fits.gz (48.995 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n", " warnings.warn(string)\n", "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:207: UserWarning: [OPTICAM] Large time gap detected between 240101i200000045o.fits.gz and 240101i200000378o.fits.gz (19.998 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n", " warnings.warn(string)\n", "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:207: UserWarning: [OPTICAM] Large time gap detected between 240101i200000347o.fits.gz and 240101i200000102o.fits.gz (58.994 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n", " warnings.warn(string)\n", "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:207: UserWarning: [OPTICAM] Large time gap detected between 240101i200000004o.fits.gz and 240101i200000167o.fits.gz (10.999 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n", " warnings.warn(string)\n", "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:207: UserWarning: [OPTICAM] Large time gap detected between 240101i200000125o.fits.gz and 240101i200000036o.fits.gz (24.998 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n", " warnings.warn(string)\n", "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:207: UserWarning: [OPTICAM] Large time gap detected between 240101r200000375o.fits.gz and 240101r200000344o.fits.gz (48.995 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n", " warnings.warn(string)\n", "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:207: UserWarning: [OPTICAM] Large time gap detected between 240101r200000321o.fits.gz and 240101r200000048o.fits.gz (19.998 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n", " warnings.warn(string)\n", "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:207: UserWarning: [OPTICAM] Large time gap detected between 240101r200000489o.fits.gz and 240101r200000446o.fits.gz (58.994 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n", " warnings.warn(string)\n", "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:207: UserWarning: [OPTICAM] Large time gap detected between 240101r200000149o.fits.gz and 240101r200000456o.fits.gz (10.999 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n", " warnings.warn(string)\n", "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:207: UserWarning: [OPTICAM] Large time gap detected between 240101r200000166o.fits.gz and 240101r200000194o.fits.gz (24.998 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n", " warnings.warn(string)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "[OPTICAM] Binning: 8x8\n", "[OPTICAM] Filters: g-band, r-band, i-band\n", "[OPTICAM] 341 g-band images.\n", "[OPTICAM] 341 r-band images.\n", "[OPTICAM] 341 i-band images.\n", "[OPTICAM] Creating source catalogs\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[OPTICAM] Aligning g-band images: 100%|██████████|[00:03<00:00]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "[OPTICAM] Done.\n", "[OPTICAM] 341 image(s) aligned.\n", "[OPTICAM] 0 image(s) could not be aligned.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[OPTICAM] Aligning r-band images: 100%|██████████|[00:03<00:00]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "[OPTICAM] Done.\n", "[OPTICAM] 341 image(s) aligned.\n", "[OPTICAM] 0 image(s) could not be aligned.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[OPTICAM] Aligning i-band images: 100%|██████████|[00:02<00:00]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "[OPTICAM] Done.\n", "[OPTICAM] 341 image(s) aligned.\n", "[OPTICAM] 0 image(s) could not be aligned.\n", "[OPTICAM] Photometry results will be saved to lcs/optimal in timing_analysis_tutorial/reduced.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[OPTICAM] Performing photometry on g-band images: 100%|██████████|[00:02<00:00]\n", "[OPTICAM] Performing photometry on r-band images: 100%|██████████|[00:02<00:00]\n", "[OPTICAM] Performing photometry on i-band images: 100%|██████████|[00:02<00:00]\n" ] } ], "source": [ "import opticam\n", "\n", "opticam.generate_gappy_observations(\n", " out_dir='timing_analysis_tutorial/data',\n", " n_images=500, # generate lots of observations to create long light curves\n", " binning_scale=8, # use large binning scale to reduce disk space\n", " circular_aperture=False, # disable circular aperture shadow for simplicity\n", ")\n", "\n", "reducer = opticam.Reducer(\n", " data_directory='timing_analysis_tutorial/data',\n", " out_directory='timing_analysis_tutorial/reduced',\n", " verbose=True,\n", " remove_cosmic_rays=False,\n", " show_plots=False,\n", " )\n", "reducer.create_catalogs()\n", "\n", "phot = opticam.OptimalPhotometer()\n", "reducer.photometry(phot)" ] }, { "cell_type": "code", "execution_count": 2, "id": "ce4f2654", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[OPTICAM] Filters: g-band, r-band, i-band\n", "[OPTICAM] g-band target ID 2 was matched to r-band target ID 2\n", "[OPTICAM] g-band comparison ID 1 was matched to r-band comparison ID 1\n", "[OPTICAM] g-band target ID 2 was matched to i-band target ID 2\n", "[OPTICAM] g-band comparison ID 1 was matched to i-band comparison ID 1\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/stingray/utils.py:486: UserWarning: SIMON says: Stingray only uses poisson err_dist at the moment. All analysis in the light curve will assume Poisson errors. Sorry for the inconvenience.\n", " warnings.warn(\"SIMON says: {0}\".format(message), **kwargs)\n" ] } ], "source": [ "dphot = opticam.DifferentialPhotometer(\n", " out_directory='timing_analysis_tutorial/reduced',\n", " show_plots=False,\n", ")\n", "\n", "analyser = dphot.get_relative_light_curve(\n", " fltr='g-band',\n", " target=2,\n", " comparisons=1,\n", " phot_label='optimal',\n", " match_other_cameras=True,\n", " show_diagnostics=False,\n", ")" ] }, { "cell_type": "markdown", "id": "79137bea", "metadata": {}, "source": [ "We now have an `Analyzer` instance that provides a number of quick-look timing analyses routines. Under-the-hood, these routines use the `stingray` Python package, so if a particular `stingray` routine is not implemented in `opticam`, a light curve from the `Analyzer` instance can be passed directly to `stingray` instead (more on this later). By using `stingray`, the results returned by `opticam.Analyzer` methods are intended to be compatible with existing analysis pipelines, or provide a feature-rich framework in which to develop analysis pipelines.\n", "\n", "Let's first take a look at our `Analyzer` light curves. Since these observations contain gaps, we can also visualise the Good Time Intervals by passing `show_gtis=True` to `plot_light_curves()`:" ] }, { "cell_type": "code", "execution_count": 3, "id": "dbd3c0c6", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = analyser.plot_light_curves(\n", " show_gtis=True,\n", ")" ] }, { "cell_type": "markdown", "id": "6a0641e5", "metadata": {}, "source": [ "As we can see, we have three clearly variable, gappy light curves. Let's now perform a few quick-look timing analyses on these light curves.\n", "\n", "## Periodograms\n", "\n", "Often times, users might want to compute the periodograms of their light curves. `stingray` implements both the Lomb-Scargle periodogram (LSP) and the classical periodogram (FFT). Both of these are also implemented in `opticam` for convenience.\n", "\n", "Since `opticam` computes *relative light curves*, while `stingray` assumes that light curves are in units of counts, any `Analyzer` methods that use `stingray` routines will default to `norm=\"frac\"`. The fractional RMS normalization is valid for relative light curves, while the absolute RMS normalization (`norm=\"abs\"`), will give the same results as the fractional RMS normalisation *provided the light curve is normalised to a mean flux of 1*. In general, try to stick with `norm=\"frac\"` since it's scale-invariant (more on this later).\n", "\n", "Let's first take a look at the Lomb-Scargle periodogram:" ] }, { "cell_type": "code", "execution_count": 4, "id": "347b8a5c", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/stingray/utils.py:486: UserWarning: SIMON says: Stingray only uses poisson err_dist at the moment. All analysis in the light curve will assume Poisson errors. Sorry for the inconvenience.\n", " warnings.warn(\"SIMON says: {0}\".format(message), **kwargs)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lsps = analyser.compute_lomb_scargle_periodograms()" ] }, { "cell_type": "markdown", "id": "ee343dce", "metadata": {}, "source": [ "We have three Lomb-Scarlge periodograms, all of which show a strong peak at a frequency of about 0.14 Hz.\n", "\n", "Like many of the timing analysis methods of `Analyzer`, `compute_lomb_scargle_periodograms()` returns a dictionary of results. In this case, the keys list the filters and the values list the corresponding `stingray.lombscargle.LombScarglePowerspectrum` instances: " ] }, { "cell_type": "code", "execution_count": 5, "id": "2983f95f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'g-band': ,\n", " 'r-band': ,\n", " 'i-band': }" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lsps" ] }, { "cell_type": "markdown", "id": "88c7f75b", "metadata": {}, "source": [ "Let's find the peak frequency for each periodogram:" ] }, { "cell_type": "code", "execution_count": 6, "id": "0a9caa29", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Peak frequency: 0.13528395820116063 Hz\n", "Peak frequency: 0.13528395820116063 Hz\n", "Peak frequency: 0.13528395820116063 Hz\n" ] } ], "source": [ "import numpy as np\n", "\n", "for fltr, lsp in lsps.items():\n", " print('Peak frequency:', lsp.freq[np.argmax(lsp.power)], 'Hz')" ] }, { "cell_type": "markdown", "id": "9f8aeed0", "metadata": {}, "source": [ "As we can see, all three bands show a periodicity at $\\sim$ 0.135 Hz (which is the true frequency of variability for our source of interest). We also see a bit of aliasing due to the gaps in our observations.\n", "\n", "Let's compare the LSP to the classical periodogram:" ] }, { "cell_type": "code", "execution_count": 7, "id": "afb32a02", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[OPTICAM] Unable to compute periodogram for g-band light curve due to gaps. Consider using either the compute_lomb_scargle_periodograms() or compute_averaged_power_spectra() methods instead.\n", "[OPTICAM] Unable to compute periodogram for r-band light curve due to gaps. Consider using either the compute_lomb_scargle_periodograms() or compute_averaged_power_spectra() methods instead.\n", "[OPTICAM] Unable to compute periodogram for i-band light curve due to gaps. Consider using either the compute_lomb_scargle_periodograms() or compute_averaged_power_spectra() methods instead.\n" ] } ], "source": [ "periodograms = analyser.compute_power_spectra()" ] }, { "cell_type": "markdown", "id": "7148e1ed", "metadata": {}, "source": [ "As we can see, computing the classical periodogram fails because the data contain gaps. Let's try computing the averaged periodogram instead. When computing an averaged periodogram, a segment size must be specified; to avoid issues with units, `opticam` requires this segment size by an `astropy.units.quantity.Quantity` instance:" ] }, { "cell_type": "code", "execution_count": 8, "id": "39531468", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[OPTICAM] 8 g-band segments averaged.\n", "[OPTICAM] 8 r-band segments averaged.\n", "[OPTICAM] 8 i-band segments averaged.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/stingray/utils.py:486: UserWarning: SIMON says: Stingray only uses poisson err_dist at the moment. All analysis in the light curve will assume Poisson errors. Sorry for the inconvenience.\n", " warnings.warn(\"SIMON says: {0}\".format(message), **kwargs)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import astropy.units as u\n", "\n", "segment_size = 30 * u.s\n", "\n", "averaged_periodograms = analyser.compute_averaged_power_spectra(\n", " segment_size=segment_size,\n", ")" ] }, { "cell_type": "markdown", "id": "a19103e0", "metadata": {}, "source": [ "Computing averaged periodograms works, since the gaps can be filtered out, but we don't really have enough data in this case to get meaningful results (note each averaged periodogram is comprised of just eight segments). When averaging Fourier products, the general consensus is to average at least 30 segments to get trustworthy results. However, generating enough data to get 30 complete segments would take up a lot of disk space, so I'll leave this as an exercise for the user.\n", "\n", "## Phase Folding\n", "\n", "It is common to phase fold light curves on candidate frequencies or periods to visualise the pulse profile. This is implemented in `opticam` for convenience via the `phase_fold_light_curves()` method of `Analyzer`. First, however, we must define our candidate period. To avoid issues with units, candidate periods must be an `astropy.units.quantity.Quantity` instance:" ] }, { "cell_type": "code", "execution_count": 9, "id": "961e7042", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f_signal = 0.135 * u.Hz # periodogram peak frequency\n", "p_signal = 1 / f_signal\n", "\n", "phase_folds = analyser.phase_fold_light_curves(\n", " period=p_signal,\n", ")" ] }, { "cell_type": "markdown", "id": "3c0f513d", "metadata": {}, "source": [ "We can also phase bin to make the pulse profile clearer:" ] }, { "cell_type": "code", "execution_count": 10, "id": "56d34cf5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "phase_bins = analyser.phase_bin_light_curves(\n", " period=p_signal,\n", " n_bins=20,\n", ")" ] }, { "cell_type": "markdown", "id": "6426c335", "metadata": {}, "source": [ "Now we can see the pulse profiles more clearly, though it's still pretty noisy in this case since our light curve isn't very long.\n", "\n", "It's also clear from the above plots that there is a lag in the pulsations between the different bands. Let's quantify this.\n", "\n", "## Lags\n", "\n", "One of the great things about OPTICAM is that it provides simultaneous three-colour observations. As such, it is possible to search for wavelength-dependent lags; `opticam`'s `Analyzer` class makes this easy via the `compute_cross_correlations()` method:" ] }, { "cell_type": "code", "execution_count": 11, "id": "2024f430", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/stingray/utils.py:486: UserWarning: SIMON says: Stingray only uses poisson err_dist at the moment. All analysis in the light curve will assume Poisson errors. Sorry for the inconvenience.\n", " warnings.warn(\"SIMON says: {0}\".format(message), **kwargs)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "corrs = analyser.compute_cross_correlations()" ] }, { "cell_type": "markdown", "id": "cc4e239c", "metadata": {}, "source": [ "The `compute_cross_correlations()` method computes the cross-correlations between each pair of light curves in the `Analyzer` instance. As we can see from the above plot, the $r$-band lags the $g$-band by 2 s (since the time shift is negative, the second filter lags the first filter), and the $i$-band lags the $r$-band by 2 s as well. The true lag between these bands is a quarter period; since the period is $1 / 0.135 = 7.4$ s, this is 1.85 s. Within the time resolution of our light curves (1 s), we can therefore correctly recover the lag.\n", "\n", "## Using `stingray` Directly\n", "\n", "### A Cautionary Tale\n", "\n", "Since `Analyzer` stores light curves as `stingray.Lightcurve` instances, we can pass them directly to a number of `stingray` timing analysis routines. However, `stingray` assumes light curves are in units of counts with Poisson errors, while our light curves are relative (unitless) with Gaussian errors. As such, care must be taken in regards to units (e.g., in normalisations), and some routines either won't work as expected or won't work at all. As an instructive example, let's say we want to compute the cross spectrum between our $g$- and $r$-band light curves:" ] }, { "cell_type": "code", "execution_count": 12, "id": "dc7360e5", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "8it [00:00, 10926.22it/s]\n", "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/stingray/fourier.py:1134: UserWarning: n_ave is below 30. Please note that the error bars on the quantities derived from the cross spectrum are only reliable for a large number of averaged powers.\n", " warnings.warn(\n", "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/stingray/fourier.py:1161: RuntimeWarning: invalid value encountered in sqrt\n", " dphi = np.sqrt((1 - gsq) / (2 * gsq * n_ave))\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from stingray import AveragedCrossspectrum\n", "from matplotlib import pyplot as plt\n", "\n", "avg_cs = AveragedCrossspectrum.from_lightcurve(\n", " lc1=analyser.light_curves['g-band'],\n", " lc2=analyser.light_curves['r-band'],\n", " norm='frac',\n", " segment_size=(segment_size).to_value(u.d), # stingray assumes all time values are in seconds but OPTICAM uses Barycentric MJD\n", ")\n", "\n", "avg_cs_amplitude = np.abs(avg_cs.power)\n", "\n", "fig, ax = plt.subplots(tight_layout=True)\n", "\n", "ax.step(\n", " avg_cs.freq / 86400, # convert freq from cyc/d to Hz\n", " avg_cs_amplitude,\n", " where='mid',\n", " c='k',\n", ")\n", "\n", "ax.set_xlabel('Frequency [Hz]')\n", "ax.set_ylabel('Power [(frac. rms)$^2$ / Hz]')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5f1fc122", "metadata": {}, "source": [ "That looks how we'd expect. So far so good. Let's try to compute the coherence between these two light curves and check it's in the expected range ($0 \\leq \\text{coherence} \\leq 1$):" ] }, { "cell_type": "code", "execution_count": 13, "id": "6fcabe0b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "False\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/stingray/utils.py:486: UserWarning: SIMON says: Number of segments used in averaging is significantly low. The result might not follow the expected statistical distributions.\n", " warnings.warn(\"SIMON says: {0}\".format(message), **kwargs)\n" ] } ], "source": [ "coh, coh_err = avg_cs.coherence()\n", "\n", "print(np.logical_and(coh >= 0, coh <= 1).all())" ] }, { "cell_type": "markdown", "id": "7d985924", "metadata": {}, "source": [ "Uh oh, we have unphysical coherence values! Let's take a look at some of them:" ] }, { "cell_type": "code", "execution_count": 14, "id": "22f3456c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Coherence: 117790.34670408722, error: -20213004.255854387\n", "Coherence: 156069.4436161767, error: -30827907.33073253\n", "Coherence: 80089.37474469996, error: -11332531.539324567\n", "Coherence: 743.5311606745969, error: -10123.58363595195\n", "Coherence: 156979.64668112784, error: -31097985.63884118\n" ] } ], "source": [ "for i in range(5):\n", " print(f'Coherence: {coh[i]}, error: {coh_err[i]}')" ] }, { "cell_type": "markdown", "id": "0f9d4bb2", "metadata": {}, "source": [ "Our coherence estimates are in the thousands, and our error estimates are negative. Something is very wrong...\n", "\n", "The issue is due to `stingray` assuming Poisson statistics. Since we know the phase lag between these two light curves, let's see what happens if we try to compute it from the averaged cross spectrum:" ] }, { "cell_type": "code", "execution_count": 15, "id": "22bc3840", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plags, plags_err = avg_cs.phase_lag()\n", "\n", "fig, ax = plt.subplots(tight_layout=True)\n", "\n", "ax.errorbar(\n", " avg_cs.freq / 86400,\n", " plags,\n", " plags_err,\n", " fmt='kx',\n", ")\n", "\n", "ax.axvline(\n", " 0.135,\n", " c='red',\n", " label='Lag frequency'\n", " )\n", "ax.axhline(\n", " np.pi / 2,\n", " c='blue',\n", " label='Expected lag'\n", " )\n", "ax.legend()\n", "\n", "ax.set_xlabel('Frequency [Hz]')\n", "ax.set_ylabel('Phase lag [$\\\\pi$]')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "367c021e", "metadata": {}, "source": [ "We get the correct phase lag at the correct frequency. However, we don't seem to have any error bars, and so it's impossible to quantify the significance of this lag. Let's see what our error bars are:" ] }, { "cell_type": "code", "execution_count": 16, "id": "53c5cb83", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[nan nan nan nan nan nan nan nan nan nan nan nan nan nan]\n" ] } ], "source": [ "print(plags_err)" ] }, { "cell_type": "markdown", "id": "4256290a", "metadata": {}, "source": [ "Our errors are all `NaN`s! This is another consequence of our light curves not having Poisson errors.\n", "\n", "### A Hacky Fix\n", "\n", "To work around `stingray`'s requirement for Poisson errors, we can trick it into thinking our relative light curves are actually in units of counts by scaling them by a suitably large value (e.g., 10,000). We'll also want to convert the time values from Barycentric MJD to seconds:" ] }, { "cell_type": "code", "execution_count": 17, "id": "04c49788", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "8it [00:00, 9915.61it/s]\n" ] } ], "source": [ "from stingray import Lightcurve\n", "\n", "scale_factor = 1e4\n", "\n", "lc = analyser.light_curves['g-band']\n", "t_ref = np.min(lc.time)\n", "t = 86400 * (lc.time - t_ref) # convert time from MJD to s\n", "gti = 86400 * (lc.gti - t_ref) # convert GTIs from MJD to s\n", "f = lc.counts * scale_factor # scale fluxes so stingray thinks they're counts\n", "g_lc = Lightcurve(t, f, gti=gti) # do not pass errors or define err_dist\n", "\n", "lc = analyser.light_curves['r-band']\n", "t = 86400 * (lc.time - t_ref) # convert time from MJD to s\n", "gti = 86400 * (lc.gti - t_ref) # convert GTIs from MJD to s\n", "f = lc.counts * scale_factor # scale fluxes so stingray thinks they're counts\n", "r_lc = Lightcurve(t, f, gti=gti) # do not pass errors or define err_dist\n", "\n", "avg_cs = AveragedCrossspectrum.from_lightcurve(\n", " g_lc,\n", " r_lc,\n", " segment_size=segment_size.value, # segment size in seconds\n", " norm='frac',\n", " )" ] }, { "cell_type": "markdown", "id": "c850f28f", "metadata": {}, "source": [ "The fractional RMS normalisation (`norm='frac'`) is scale-invariant, so it should give us the same averaged periodogram as before (provided we use the same segment length). Let's verify this:" ] }, { "cell_type": "code", "execution_count": 18, "id": "58254a51", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "8it [00:00, 14045.39it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "True\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "from stingray import AveragedPowerspectrum\n", "\n", "avg_ps = AveragedPowerspectrum.from_lightcurve(\n", " g_lc,\n", " segment_size=segment_size.value,\n", " norm='frac',\n", " )\n", "\n", "print(np.allclose(avg_ps.power, averaged_periodograms['g-band'].power))" ] }, { "cell_type": "markdown", "id": "4c3449d2", "metadata": {}, "source": [ "As we can see, our scaled $g$-band light curve gives the same averaged power spectrum as our initial relative light curve. Let's now try to compute the averaged cross spectrum, coherence, and phase lags using our scaled light curves:" ] }, { "cell_type": "code", "execution_count": 19, "id": "fb3cb353", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(tight_layout=True)\n", "\n", "ax.step(\n", " avg_cs.freq,\n", " avg_cs_amplitude,\n", " where='mid',\n", " c='k',\n", ")\n", "\n", "ax.set_xlabel('Frequency [Hz]')\n", "ax.set_ylabel('Power [(frac. rms)$^2$ / Hz]')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1c2c56b8", "metadata": {}, "source": [ "As with the averaged power spectrum, the averaged cross spectrum looks the same as before (since we're using `norm=\"frac\"`). Again, so far so good. Let's see if we can compute the coherence this time:" ] }, { "cell_type": "code", "execution_count": 20, "id": "841fd70c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(tight_layout=True)\n", "\n", "coh, coh_err = avg_cs.coherence()\n", "\n", "ax.errorbar(\n", " avg_cs.freq,\n", " coh,\n", " coh_err,\n", " c='black',\n", ")\n", "\n", "ax.set_xlabel('Frequency [Hz]')\n", "ax.set_ylabel('Coherence')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "7e976dba", "metadata": {}, "source": [ "We have a coherence plot!\n", "\n", "Let's see how the phase lags look now:" ] }, { "cell_type": "code", "execution_count": 21, "id": "30d928ab", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plags, plags_err = avg_cs.phase_lag()\n", "\n", "fig, ax = plt.subplots(tight_layout=True)\n", "\n", "ax.errorbar(\n", " avg_cs.freq,\n", " plags,\n", " plags_err,\n", " fmt='kx',\n", ")\n", "\n", "ax.axvline(\n", " 0.135,\n", " c='red',\n", " label='Lag frequency'\n", " )\n", "ax.axhline(\n", " np.pi / 2,\n", " c='blue',\n", " label='Expected lag'\n", " )\n", "ax.axhline(\n", " 0,\n", " c='black',\n", " ls='--'\n", " )\n", "ax.legend()\n", "\n", "ax.set_xlabel('Frequency [Hz]')\n", "ax.set_ylabel('Phase lag')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "939fbfce", "metadata": {}, "source": [ "We have errors on our phase lags, and now we can tell that the lag is not only consistent the correct value (to within a few sigma), but is also inconsistent with zero! Let's quantify its significance:" ] }, { "cell_type": "code", "execution_count": 22, "id": "110d0b7e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(tight_layout=True)\n", "\n", "ax.step(\n", " avg_cs.freq,\n", " plags / plags_err,\n", " where='mid',\n", " c='black',\n", ")\n", "\n", "ax.fill_between(\n", " ax.set_xlim(),\n", " -5, 5,\n", " color='grey',\n", " alpha=.5,\n", " edgecolor='none',\n", ")\n", "\n", "ax.axvline(\n", " 0.135,\n", " c='red',\n", " label='Lag frequency'\n", " )\n", "\n", "ax.legend()\n", "\n", "ax.set_xlabel('Frequency [Hz]')\n", "ax.set_ylabel('Phase lag significance')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e2943f80", "metadata": {}, "source": [ "Now we can see that the phase lag is significant to $\\gg 5 \\sigma$, as we would hope!\n", "\n", "That concludes the timing methods tutorial for `opticam`! The timing methods of `Analyzer` demonstrated here are intended as \"quick-look\" analyses, while more complete analyses are made easy thanks to `stingray`. Note that special care (and hacky workarounds) may be needed to get the most out of `stingray`." ] } ], "metadata": { "kernelspec": { "display_name": "opticam", "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": "3.13.3" } }, "nbformat": 4, "nbformat_minor": 5 }