{ "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": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 368, "width": 745 } }, "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": 2, "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": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 277, "width": 352 }, "needs_background": "light" }, "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": 4, "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": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 368, "width": 745 } }, "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": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 2 }