{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How to identify time-variable background noise (\"rolling bands\")?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the previous tutorial we looked at making custom apertures to check planet signals. In this tutorial we will use the same technique to find variable background (such as rolling band signal) in Kepler data.\n", "\n", "The background flux level of Kepler pixel data is not static. In particular, certain CCD channels occasionally experience the 'rolling band' effect, where the background has a strong time varying component of a 'band' moving up the detector. You can read more about rolling band in the [Kepler Instrument Handbook](https://archive.stsci.edu/kepler/manuals/KSCI-19033-001.pdf). An example of the rolling band artifact is shown in the video below. You can see the band move through the superstamp at the 2 second mark, leaving the bottom of the screen at the 6 second mark." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![](rollingband.gif)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The rolling band artifact is small, up to about 20 counts per pixel. However, this can add up for large apertures containing many pixels or for faint, quiet targets.\n", "\n", "Rolling band can often add spurious signals into your data which look like real astrophysical variability. The best way to spot rolling band is to vary your aperture size. If the signal strength increases as you increase the number of background pixels in the aperture, the effect is likely to be an additive background component.\n", "\n", "Below we will show you how to check for rolling band. First let's import `lightkurve` and download a target." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from lightkurve import search_targetpixelfile\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "tpf = search_targetpixelfile('7691027', quarter=16).download()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tpf.plot(aperture_mask=tpf.pipeline_mask);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks like a fairly normal Target Pixel File. Let's take a look at the light curve." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc = tpf.to_lightcurve(aperture_mask=tpf.pipeline_mask)\n", "\n", "ax = lc.remove_outliers().plot(normalize=False, alpha=0.7)\n", "ax.set_title('Flux in Pipeline Aperture')\n", "\n", "ann = ax.annotate(\"Stellar rotation?\",\n", " xy=(1552, 4460), xycoords='data',\n", " xytext=(1540, 4490), textcoords='data',\n", " arrowprops=dict(arrowstyle=\"simple\",\n", " connectionstyle=\"arc3, rad=-0.2\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It looks like there are some features at around 1540 days that could be due to rotation in the star. But this could also be due to rolling band. Let's change the aperture of the target pixel file to **only include background pixels** and see if this signal is still present." ] }, { "cell_type": "code", "execution_count": 15, "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": [ "aperture = tpf.flux[0]<200\n", "npix = len(np.where(aperture == True)[0])\n", "tpf.plot(aperture_mask=aperture)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The mask avoids the center pixels. Let's create a light curve the same way as above. However, this time we're going to divide by the number of pixels in the aperture to give the the **average background flux per pixel.**" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Average Flux Per Background Pixel')" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bkg_lc = tpf.to_lightcurve(aperture_mask=aperture)\n", "bkg_lc /= npix # Convert to electrons per second per pixel\n", "\n", "ax = bkg_lc.remove_outliers().plot(normalize=False, alpha=0.7)\n", "ax.set_title('Average Flux Per Background Pixel')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It looks like the signal is still there in the background pixels. Unfortunately this means the signal is not astrophysical." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can perform another test by looking at the background in a nearby source. Using the `search_targetpixelfile` function we can get the nearest neighbor to our target. We first set a search radius in arcseconds and a limit on the number of targets to return. In this case we only want our target and the nearest neighbour within 60 arcseconds, so we'll set `radius` to 60 and `limit` to 2 targets." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "tpfs = search_targetpixelfile('7691027', radius=60, quarter=16, limit=2).download_all()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "TargetPixelFileCollection of 2 objects:\n", "KeplerTargetPixelFile Object (ID: 7691027) \n", "KeplerTargetPixelFile Object (ID: 7691061) " ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tpfs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can see that `tpfs` is a list of `KeplerTargetPixelFile` objects. There are two different object IDs, our target and the nearest neighbour." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's double check that these target pixel files are close to each other" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "TPFs are 9.5 Pixels Apart\n" ] } ], "source": [ "separation = np.sqrt((tpfs[0].column - tpfs[1].column)**2 + (tpfs[0].row - tpfs[1].row)**2)\n", "print('TPFs are {:.02} Pixels Apart'.format(separation))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since these are files are very close on the focal plane, we would expect them to experience similar levels of background. We can now perform the same test as above and look at the background flux averaged over all the background pixels. We'll do this inside a for loop and follow the same steps:\n", "* Build the aperture\n", "* Create the light curve (`KeplerLightCurve` object)\n", "* Plot the light curve" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 5))\n", "for t in tpfs.data:\n", " # Construct a background aperture\n", " aper = np.nan_to_num(t.flux[0]) < 200\n", " npix = len(np.where(aper == True)[0])\n", " \n", " # Create a lightcurve\n", " bkg_lc = t.to_lightcurve(aperture_mask=aper)\n", " bkg_lc /= npix # Don't forget to normalize by the number of pixels in the aperture!\n", "\n", " # Plot the result\n", " bkg_lc = bkg_lc.remove_outliers()\n", " bkg_lc.plot(ax=ax, normalize=False, label=t.targetid)\n", "\n", "ax.set_title('Average Flux Per Background Pixel');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks like a nearby source shows quite similar background variation. This suggests that unfortunately the signal is rolling band. Mitigating rolling band can be difficult, and we'll discuss corrections in a different tutorial." ] } ], "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 }