{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lomb Scargle Power Spectra\n", "\n", "This tutorial shows how to make and manipulate a Lomb Scargle power spectrum of two light curves using Stingray." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from stingray.lightcurve import Lightcurve\n", "from stingray.lombscargle import LombScarglePowerspectrum\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.interpolate import make_interp_spline\n", "import matplotlib.font_manager as font_manager\n", "%matplotlib inline\n", "plt.style.use('seaborn-v0_8-talk')\n", "font_prop = font_manager.FontProperties(size=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 1\\. Create a light curve\n", "\n", "There are two ways to make `Lightcurve` objects. We'll show one way here. Check out [Lightcurve](https://docs.stingray.science/en/stable/core.html#working-with-lightcurves) for more examples.\n", "\n", "Make one with signals in units of counts. It is a sine wave with random normal noise, frequency of 3 and at random times and make its counts non-negative by subtracting its least value.\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "rand = np.random.default_rng(42)\n", "n = 100\n", "t = np.sort(rand.random(n)) * 10\n", "y = np.sin(2 * np.pi * 3.0 * t) + 0.1 * rand.standard_normal(n)\n", "sub = np.min(y)\n", "y -= sub\n", "t0 = np.linspace(0, 10, 1000)\n", "y0 = np.sin(2 * np.pi * 3.0 * t0) + 0.1 * rand.standard_normal(t0.size)\n", "sub = np.min(y0)\n", "y0 -= sub\n", "spline = make_interp_spline(t, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets convert them into `Lightcurve` objects" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "lc = Lightcurve(t, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us plot them to see how they look" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,1,figsize=(10,6))\n", "ax.scatter(lc.time, lc.counts, lw=2, color='blue',label='lc')\n", "ax.plot(t0, y0, lw=2, color='red',label='source of lc')\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": "markdown", "metadata": {}, "source": [ "## 2. Pass the light curve to the `LombScarglePowerspectrum` class to create a `LombScarglePowerspectrum` object.\n", "You can also specify the optional attribute `norm` if you wish to normalize the real part of the power spectrum to squared fractional rms, Leahy, or squared absolute normalization. The default normalization is 'none'." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "lps = LombScarglePowerspectrum(\n", " lc,\n", " min_freq=0,\n", " max_freq=None,\n", " method=\"fast\",\n", " power_type=\"all\",\n", " norm=\"none\",\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can print the first five values in the arrays of the positive Fourier frequencies and the power. The power has only real component, and imaginary component is zero." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.05163902 0.15491705 0.25819509 0.36147313 0.46475116]\n", "[ 15.49526224+0.j 120.05686691+0.j 96.589673 +0.j 127.2231466 +0.j\n", " 30.42053746+0.j]\n" ] } ], "source": [ "print(lps.freq[0:5])\n", "print(lps.power[0:5])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Parameters\n", "\n", "- `data`: This parameter allows you to provide the light curve data to be Fourier-transformed. It can be either a [`stingray.lightcurve.Lightcurve`](https://docs.stingray.science/en/stable/core.html#working-with-lightcurves) or [`stingray.events.EventList`](https://docs.stingray.science/en/stable/core.html#working-with-event-data) object. It is optional, and the default value is `None`.\n", "\n", "- `norm`: The `norm` parameter defines the normalization of the power spectrum. It accepts string values from the set {`frac`, `abs`, `leahy`, `none`}. The default normalization is set to `none`.\n", "\n", "- `power_type`: The `power_type` parameter allows you to specify the type of power spectral power you want to compute. The options are: `real` for the real part, `absolute` for the magnitude, and `all` to compute both real part and magnitude. The default is `all`.\n", "\n", "- `fullspec`: This is a boolean parameter that determines whether to keep only the positive frequencies or include both positive and negative frequencies in the power spectrum. When set to `False` (default), only positive frequencies are kept; when set to `True`, both positive and negative frequencies are included.\n", "\n", "### Other Parameters\n", "\n", "- `dt`: When constructing light curves using [`stingray.events.EventList`](https://docs.stingray.science/en/stable/core.html#working-with-event-data) objects, the `dt` parameter represents the time resolution of the light curve. It is a float value that needs to be provided.\n", "\n", "- `skip_checks`: This is a boolean parameter that, when set to `True`, skips initial checks for speed or other reasons. It's useful when you have confidence in the inputs and want to improve processing speed.\n", "\n", "- `min_freq`: This parameter specifies the minimum frequency at which the Lomb-Scargle Fourier Transform should be computed.\n", "\n", "- `max_freq`: Similarly, the `max_freq` parameter sets the maximum frequency for the Lomb-Scargle Fourier Transform.\n", "\n", "- `df`: The `df` parameter, a float, represents the frequency resolution. It's relevant when constructing light curves using [`stingray.events.EventList`](https://docs.stingray.science/en/stable/core.html#working-with-event-data) objects.\n", "\n", "- `method`: The `method` parameter determines the method used by the Lomb-Scargle Fourier Transformation function. The allowed values are `fast` and `slow`, with the default being `fast`. The `fast` method uses the optimized Press and Rybicki O(n*log(n)) algorithm.\n", "\n", "- `oversampling`: This optional float parameter represents the interpolation oversampling factor. It is applicable when using the fast algorithm for the Lomb-Scargle Fourier Transform. The default value is 5.\n", "\n", "## Attributes\n", "\n", "- `freq`: The `freq` attribute is a numpy array that contains the mid-bin frequencies at which the Fourier transform samples the power spectrum.\n", "\n", "- `power`: The `power` attribute is a numpy array that contains the normalized squared absolute values of Fourier amplitudes.\n", "\n", "- `power_err`: The `power_err` attribute is a numpy array that provides the uncertainties associated with the `power`. The uncertainties are approximated using the formula `power_err = power / sqrt(m)`, where `m` is the number of power values averaged in each bin. For a single realization (`m=1`), the error is equal to the power.\n", "\n", "- `df`: The `df` attribute is a float that indicates the frequency resolution.\n", "\n", "- `m`: The `m` attribute is an integer representing the number of averaged powers in each bin.\n", "\n", "- `n`: The `n` attribute is an integer indicating the number of data points in the light curve.\n", "\n", "- `nphots`: The `nphots` attribute is a float representing the total number of photons in the light curve." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot the power spectrum by using the plot function or manually taking the `freq` and `power` attributes" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Power(Imaginary Component)')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,3,figsize=(15,6),sharey=True)\n", "lps.plot(ax=ax[0])\n", "ax[0].set_xlabel(\"Frequency (Hz)\", fontproperties=font_prop)\n", "ax[0].set_ylabel(\"Power\", fontproperties=font_prop)\n", "ax[1].plot(lps.freq, lps.power.real, lw=2, color='red')\n", "ax[1].set_xlabel(\"Frequency (Hz)\", fontproperties=font_prop)\n", "ax[1].set_ylabel(\"Power(Real Component)\", fontproperties=font_prop)\n", "ax[2].plot(lps.freq, lps.power.imag, lw=2, color='blue')\n", "ax[2].set_xlabel(\"Frequency (Hz)\", fontproperties=font_prop)\n", "ax[2].set_ylabel(\"Power(Imaginary Component)\", fontproperties=font_prop)" ] } ], "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": 2 }