{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How to remove common systematics using basis vectors (CBVs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Cotrending Basis Vectors are used to remove long term trends in light curves. They are built from the most common trends observed in each channel. You can read more about CBVs in [Demystifying Kepler Data](https://arxiv.org/pdf/1207.3093.pdf). They can be used to clean lightcurves of common trends experience by all targets.\n", "\n", "Below is an example workflow to remove CBVs from an light curve in Kepler; [Tabby's star](https://en.wikipedia.org/wiki/KIC_8462852)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Downloading URL https://mast.stsci.edu/api/v0/download/file?uri=mast:Kepler/url/missions/kepler/lightcurves/0084/008462852/kplr008462852-2011073133259_llc.fits to /home/gb/.lightkurve-cache/mastDownload/Kepler/kplr008462852_lc_Q111111111111111111/kplr008462852-2011073133259_llc.fits ... [Done]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from lightkurve import search_lightcurvefile\n", "lcf = search_lightcurvefile(8462852, quarter=8).download()\n", "lc = lcf.SAP_FLUX \n", "\n", "#Remove nans and outliers\n", "lc = lc.remove_nans()\n", "\n", "%matplotlib inline\n", "lc.plot(linestyle='-');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The light curve above has a significant dip due to the astrophysical variability from Tabby's star. However there are other long term trends and small ramps due to heating in the spacecraft, which we would like to remove. We can use CBV's to do this. Let's import the CBV corrector from `lightkurve`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from lightkurve.correctors import KeplerCBVCorrector" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use the `plot_cbvs` function to take a look at the trends we are going to remove. Let's look at just the first 8 trends." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "KeplerCBVCorrector(lcf).plot_cbvs([1,2,3,4,5,6,7,8]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We probably don't want to correct all these trends out of Tabby's star. Let's pick just the first 5." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "corr_lc = KeplerCBVCorrector(lcf).correct(cbvs=[1,2,3,4,5])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot the two light curves on the same plot window to see the difference." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = lc.plot(color='C3', label='SAP Flux', linestyle='-')\n", "corr_lc.plot(ax=ax, color='C2', label='CBV Corrected SAP Flux', linestyle='-');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now the CBVs have been corrected only the astrophysical variability is left, the variability from spacecraft heating has been removed." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }