{ "metadata": { "kernelspec": { "name": "python36", "display_name": "Python 3.6", "language": "python" }, "language_info": { "mimetype": "text/x-python", "nbconvert_exporter": "python", "name": "python", "pygments_lexer": "ipython3", "version": "3.6.6", "file_extension": ".py", "codemirror_mode": { "version": 3, "name": "ipython" } } }, "nbformat_minor": 2, "nbformat": 4, "cells": [ { "cell_type": "markdown", "source": "## 3. PyCBC Tutorial: Generating Waveforms and Matched Filtering\n\nWe will be using the [PyCBC](http://github.com/ligo-cbc/pycbc) library, which is used to study gravitational-wave data, find astrophysical sources due to compact binary mergers, and study their parameters. These are some of the same tools that the LIGO and Virgo collaborations use to find gravitational waves in LIGO/Virgo data \n\nIn this tutorial we will walk through how find a specific signal in LIGO data. We present how to generate the waveform of a gravitational-wave merger and matched filtering, which is optimal in the case of Gaussian noise and a known signal model. In reality our noise is not entirely Guassian, and in practice we use a variety of techniques to separate signals from noise in addition to the use of the matched filter. \n\nAdditional [examples](http://pycbc.org/pycbc/latest/html/#library-examples-and-interactive-tutorials) and module level documentation are [here](http://pycbc.org/pycbc/latest/html/py-modindex.html)", "metadata": {} }, { "cell_type": "markdown", "source": "#### Getting the software environment setup\n\nPyCBC is installable through pip, but also relies on portions of the [LALSuite](https://git.ligo.org/lscsoft/lalsuite) c-library. A bundled version of this suitable for use with PyCBC is also available on Mac / Linux through pip. These can be installed as follows within the notebook.", "metadata": {} }, { "cell_type": "code", "source": "import sys\n!{sys.executable} -m pip install pycbc ligo-common --no-cache-dir", "metadata": { "trusted": true }, "execution_count": 1, "outputs": [ { "text": "Requirement already satisfied: pycbc in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (1.14.4)\nRequirement already satisfied: lalsuite in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (6.62)\nRequirement already satisfied: ligo-common in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (1.0.3)\nRequirement already satisfied: decorator>=3.4.2 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (4.3.0)\nRequirement already satisfied: six>=1.10.0 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (1.11.0)\nRequirement already satisfied: lscsoft-glue>=1.59.3 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (2.0.0)\nRequirement already satisfied: beautifulsoup4>=4.6.0 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (4.6.3)\nRequirement already satisfied: tqdm in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (4.26.0)\nRequirement already satisfied: cython in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (0.29.14)\nRequirement already satisfied: ligo-segments in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (1.2.0)\nRequirement already satisfied: numpy>=1.13.0; python_version > \"3.0\" in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (1.16.2)\nRequirement already satisfied: Mako>=1.0.1 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (1.1.0)\nRequirement already satisfied: pillow in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (5.3.0)\nRequirement already satisfied: emcee==2.2.1 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (2.2.1)\nRequirement already satisfied: matplotlib>=1.5.1 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (3.0.0)\nRequirement already satisfied: scipy>=0.16.0; python_version >= \"3.5\" in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (1.1.0)\nRequirement already satisfied: requests>=1.2.1 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (2.22.0)\nRequirement already satisfied: astropy>=2.0.3; python_version > \"3.0\" in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (3.0.4)\nRequirement already satisfied: h5py>=2.5 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (2.8.0)\nRequirement already satisfied: jinja2 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (2.10)\nRequirement already satisfied: mpld3>=0.3 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (0.3)\nRequirement already satisfied: python-dateutil in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from lalsuite) (2.8.1)\nRequirement already satisfied: pyOpenSSL in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from lscsoft-glue>=1.59.3->pycbc) (18.0.0)\nRequirement already satisfied: MarkupSafe>=0.9.2 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from Mako>=1.0.1->pycbc) (1.1.0)\nRequirement already satisfied: cycler>=0.10 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from matplotlib>=1.5.1->pycbc) (0.10.0)\nRequirement already satisfied: kiwisolver>=1.0.1 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from matplotlib>=1.5.1->pycbc) (1.0.1)\nRequirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from matplotlib>=1.5.1->pycbc) (2.3.0)\nRequirement already satisfied: urllib3!=1.25.0,!=1.25.1,<1.26,>=1.21.1 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from requests>=1.2.1->pycbc) (1.23)\nRequirement already satisfied: idna<2.9,>=2.5 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from requests>=1.2.1->pycbc) (2.7)\nRequirement already satisfied: certifi>=2017.4.17 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from requests>=1.2.1->pycbc) (2018.10.15)\nRequirement already satisfied: chardet<3.1.0,>=3.0.2 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from requests>=1.2.1->pycbc) (3.0.4)\nRequirement already satisfied: cryptography>=2.2.1 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pyOpenSSL->lscsoft-glue>=1.59.3->pycbc) (2.3.1)\nRequirement already satisfied: setuptools in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from kiwisolver>=1.0.1->matplotlib>=1.5.1->pycbc) (41.6.0)\nRequirement already satisfied: asn1crypto>=0.21.0 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from cryptography>=2.2.1->pyOpenSSL->lscsoft-glue>=1.59.3->pycbc) (0.24.0)\nRequirement already satisfied: cffi!=1.11.3,>=1.7 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from cryptography>=2.2.1->pyOpenSSL->lscsoft-glue>=1.59.3->pycbc) (1.11.5)\nRequirement already satisfied: pycparser in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from cffi!=1.11.3,>=1.7->cryptography>=2.2.1->pyOpenSSL->lscsoft-glue>=1.59.3->pycbc) (2.19)\n", "name": "stdout", "output_type": "stream" } ] }, { "cell_type": "markdown", "source": "### Generate your first waveform !\n\nHere we'll generate the gravitational waveform using one of the available waveform approximants. These can be generated as a time series using [`get_td_waveform`](http://pycbc.org/pycbc/latest/html/pycbc.waveform.html#pycbc.waveform.waveform.get_td_waveform). There are some additional examples using this interface [here](http://pycbc.org/pycbc/latest/html/waveform.html). The key parameters are the masses of the binary (given in solar masses), the time between samples (in seconds), the starting gravitational-wave frequency (Hz) and the name of the approximant we'd like to generate. A variety of approximants are available that include different physical effects. A full review of the different models is outside of the scope of this tutorial.\n\nIn this example, we've chosen to use the 'SEOBNRv4_opt' model. There are many others available as well with different methodologies and which include different physical effects. This is an implementation of the model introduced [in this paper](https://arxiv.org/pdf/1611.03703.pdf). It models the gravitational waveform of inspiralling and merging black holes, and includes the ability for each black hole to spin in the same direction as the orbit (aligned spin).", "metadata": {} }, { "cell_type": "code", "source": "%matplotlib inline\n\nfrom pycbc.waveform import get_td_waveform\nimport pylab\n\n# The output of this function are the \"plus\" and \"cross\" polarizations of the gravitational-wave signal \n# as viewed from the line of sight at a given source inclination (assumed face-on if not provided)\nhp, hc = get_td_waveform(approximant=\"SEOBNRv4_opt\",\n mass1=10,\n mass2=10,\n delta_t=1.0/4096,\n f_lower=30)\n\npylab.plot(hp.sample_times, hp, label='Plus Polarization')\npylab.plot(hp.sample_times, hc, label='Cross Polarization')\npylab.xlabel('Time (s)')\npylab.legend()\npylab.grid()\npylab.show()\n\n# Zoom in near the merger time#\npylab.plot(hp.sample_times, hp, label='Plus Polarization')\npylab.plot(hp.sample_times, hc, label='Cross Polarization')\npylab.xlabel('Time (s)')\npylab.xlim(-.01, .01)\npylab.legend()\npylab.grid()\npylab.show()", "metadata": { "trusted": true }, "execution_count": 2, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": "", "metadata": {} }, { "cell_type": "markdown", "source": "We can see that in the this case, the two polariations differ only by the phase of the signal. This holds for systems where the orbital plane of the binary doesn't precess. In the zoom-in plot, we can see the merger itself and the ringdown that follows.", "metadata": {} }, { "cell_type": "markdown", "source": "### How does the waveform change with the mass of the binary?\n\nBelow you can see how the length of the waveform increases for lower mass binary mergers.", "metadata": {} }, { "cell_type": "code", "source": "# Component mass of each binary component. We'll simplify here and assume that each \n# component of the binary has the same mass. Again, units are in solar masses.\nfor m in [5, 10, 30, 100]:\n hp, hc = get_td_waveform(approximant=\"SEOBNRv4_opt\",\n mass1=m,\n mass2=m,\n delta_t=1.0/4096,\n f_lower=30)\n \n pylab.plot(hp.sample_times, hp, label='$M_{\\odot 1,2}=%s$' % m)\npylab.legend()\npylab.grid()\npylab.xlabel('Time (s)')\npylab.show()", "metadata": { "trusted": true }, "execution_count": 3, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": "### Changing the distance of the waveform\n\nThe distance of the waveform is also selectable when you generate a waveform. The units used are Megaparsecs. Keep in mind that no redshift effects are taken into account here, so there is a simple linear relationship between distance and amplitude", "metadata": {} }, { "cell_type": "code", "source": "for d in [100, 500, 1000]:\n hp, hc = get_td_waveform(approximant=\"SEOBNRv4_opt\",\n mass1=10,\n mass2=10,\n delta_t=1.0/4096,\n f_lower=30,\n distance=d)\n \n pylab.plot(hp.sample_times, hp, label='$Distance=%sMpc$' % d)\npylab.legend()\npylab.grid()\npylab.xlabel('Time (s)')\npylab.show()", "metadata": { "trusted": true }, "execution_count": 4, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": "### Looking for a specific signal in the data\n\nIf you know what signal you are looking for in the data, then matched filtering is known to be the optimal method in Gaussian noise to extract the siganl. Even when the parameters of the signal are unkown, one can test for each set of parameters one is interesting in finding.", "metadata": {} }, { "cell_type": "markdown", "source": "#### preconditioning the data \n \nThe purpose of this is to reduce the dynamic range of the data and supress low freqeuncy behavior which can introduce numerical artefacts. We may also wish to resample the data if high frequency content is not important.", "metadata": {} }, { "cell_type": "code", "source": "# As an example we use the GW150914 data\nfrom pycbc.catalog import Merger\nfrom pycbc.filter import resample_to_delta_t, highpass\n\nmerger = Merger(\"GW150914\")\n\n# Get the data from the Hanford detector\nstrain = merger.strain('H1')\n\n# Remove the low frequency content and downsample the data to 2048Hz\nstrain = resample_to_delta_t(highpass(strain, 15.0), 1.0/2048)\n\npylab.plot(strain.sample_times, strain)\npylab.xlabel('Time (s)')\npylab.show()", "metadata": { "trusted": true }, "execution_count": 5, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": "#### filter wraparound \n\nNote the spike in the data at the boundaries. This is caused by the highpass and resampling stages filtering the data. When the filter is applied to the boundaries, it wraps around to the beginning of the data. Since the data itself has a discontinuity (i.e. it is not cyclic) the filter itself will ring off for a time up to the length of the filter. \n\nEven if a visible transient is not seen, we want to avoid filters that act on times which are not causally connect. To avoid this we trim the ends of the data sufficiently to ensure that they do not wraparound the input. We will enforce this requirement in all steps of our filtering.", "metadata": {} }, { "cell_type": "code", "source": "# Remove 2 seconds of data from both the beginning and end\nconditioned = strain.crop(2, 2)\n\npylab.plot(conditioned.sample_times, conditioned)\npylab.xlabel('Time (s)')\npylab.show()", "metadata": { "trusted": true }, "execution_count": 6, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": "#### calculate the power spectral density\n\nOptimal matched filtering requires weighting the frequency components of the potential signal and data by the noise amplitude. We can view this as filtering the data with the time series equivelant of 1 / PSD. To ensure that we can control how much applying this filter to the data, we window the time domain equivelant of the PSD to a specific length. This has effect of losing some information about line behavior in the detector, however, since our signal span a large frequency range, and lines are narrow, this is a negligible effect.", "metadata": {} }, { "cell_type": "code", "source": "from pycbc.psd import interpolate, inverse_spectrum_truncation\n# Estimate the power spectral density\n\n# We use 4 second samles of our time series in Welch method.\npsd = conditioned.psd(4)\n\n# Now that we have the psd we need to interpolate it to match our data\n# and then limit the filter length of 1 / PSD. After this, we can\n# directly use this PSD to filter the data in a controlled manner\n\npsd = interpolate(psd, conditioned.delta_f)\n\n# 1/PSD will now act as a filter with an effective length of 4 seconds\n# Since the data has been highpassed above 15 Hz, and will have low values\n# below this we need to informat the function to not include frequencies\n# below this frequency. \npsd = inverse_spectrum_truncation(psd, int(4 * conditioned.sample_rate),\n low_frequency_cutoff=15)\n\npylab.loglog(psd.sample_frequencies, psd)\npylab.ylabel('$Strain^2 / Hz$')\npylab.xlabel('Frequency (Hz)')\npylab.xlim(30, 1024)", "metadata": { "trusted": true }, "execution_count": 7, "outputs": [ { "execution_count": 7, "output_type": "execute_result", "data": { "text/plain": "(30, 1024)" }, "metadata": {} }, { "output_type": "display_data", "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": "#### make your signal model\n\nConceptually, matched filtering involves laying the potential signal over your data and integrating (after weighting frequencies correctly). If there is a signal in the data that aligns with your 'template', you will get a large value when integrated over.", "metadata": {} }, { "cell_type": "code", "source": "# In this case we \"know\" what the signal parameters are. In a search\n# we would grid over the parameters and calculate the SNR time series\n# for each one\n\n# We'll assume equal masses, which is within the posterior probability\n# of GW150914. \nm = 36 # Solar masses\nhp, hc = get_td_waveform(approximant=\"SEOBNRv4_opt\",\n mass1=m,\n mass2=m,\n delta_t=conditioned.delta_t,\n f_lower=20)\n\n# We will resize the vector to match our data\nhp.resize(len(conditioned))\n\n# The waveform begins at the start of the vector, so if we want the\n# SNR time series to correspond to the approximate merger location\n# we need to shift the data so that the merger is approximately at the \n# first bin of the data.\n\n# This function rotates the vector by a fixed amount of time.\n# It treats the data as if it were on a ring. Note that\n# time stamps are *not* in general affected, but the true\n# position in the vector is.\n#\n# By convention waveforms returned from `get_td_waveform` have their\n# merger stamped with time zero, so we can use the start time to \n# shift the merger into position\ntemplate = hp.cyclic_time_shift(hp.start_time)\npylab.plot(template)\npylab.show()", "metadata": { "trusted": true }, "execution_count": 8, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": "#### calculating the signal-to-noise time series\n\nIn this section we will now calculate the signal-to-noise time series for our template. We'll take care to handle issues of filter corruption / wraparound by truncating the output time series. We need to account for both the length of the template and 1 / PSD.", "metadata": {} }, { "cell_type": "code", "source": "from pycbc.filter import matched_filter\nimport numpy\n\nsnr = matched_filter(template, conditioned,\n psd=psd, low_frequency_cutoff=20)\n\n# Remove time corrupted by the template filter and the psd filter\n# We remove 4 seonds at the beginning and end for the PSD filtering\n# And we remove 4 additional seconds at the beginning to account for\n# the template length (this is somewhat generous for \n# so short a template). A longer signal such as from a BNS, would \n# require much more padding at the beginning of the vector.\nsnr = snr.crop(4 + 4, 4)\n\n# Why am I taking an abs() here?\n# The `matched_filter` function actually returns a 'complex' SNR.\n# What that means is that the real portion correponds to the SNR\n# associated with directly filtering the template with the data.\n# The imaginary portion corresponds to filtering with a template that\n# is 90 degrees out of phase. Since the phase of a signal may be \n# anything, we choose to maximize over the phase of the signal.\npylab.figure(figsize=[10, 4])\npylab.plot(snr.sample_times, abs(snr))\npylab.ylabel('Signal-to-noise')\npylab.xlabel('Time (s)')\npylab.show()\n\npeak = abs(snr).numpy().argmax()\nsnrp = snr[peak]\ntime = snr.sample_times[peak]\n\nprint(\"We found a signal at {}s with SNR {}\".format(time, \n abs(snrp)))", "metadata": { "scrolled": true, "trusted": true }, "execution_count": 9, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" } }, { "text": "We found a signal at 1126259462.4248047s with SNR 19.677089013145913\n", "name": "stdout", "output_type": "stream" } ] }, { "cell_type": "markdown", "source": "### Aligning and Subtracting the Proposed Signal\n\nIn the previous section we ound a peak in the signal-to-noise for a proposed binary black hole merger. We can use this SNR peak to align our proposal to the data, and to also subtract our proposal from the data.", "metadata": {} }, { "cell_type": "code", "source": "from pycbc.filter import sigma\n# The time, amplitude, and phase of the SNR peak tell us how to align\n# our proposed signal with the data.\n\n# Shift the template to the peak time\ndt = time - conditioned.start_time\naligned = template.cyclic_time_shift(dt)\n\n# scale the template so that it would have SNR 1 in this data\naligned /= sigma(aligned, psd=psd, low_frequency_cutoff=20.0)\n\n# Scale the template amplitude and phase to the peak value\naligned = (aligned.to_frequencyseries() * snrp).to_timeseries()\naligned.start_time = conditioned.start_time", "metadata": { "trusted": true }, "execution_count": 10, "outputs": [] }, { "cell_type": "markdown", "source": "#### Visualize the overlap between the signal and data\n\nTo compare the data an signal on equal footing, and to concentrate on the frequency range that is important. We will whiten both the template and the data, and then bandpass both the data and template between 30-300 Hz. In this way, any signal that is in the data is transformed in the same way that the template is.", "metadata": {} }, { "cell_type": "code", "source": "# We do it this way so that we can whiten both the template and the data\nwhite_data = (conditioned.to_frequencyseries() / psd**0.5).to_timeseries()\n\n# apply a smoothing of the turnon of the template to avoid a transient\n# from the sharp turn on in the waveform.\ntapered = aligned.highpass_fir(30, 512, remove_corrupted=False)\nwhite_template = (tapered.to_frequencyseries() / psd**0.5).to_timeseries()\n\nwhite_data = white_data.highpass_fir(30., 512).lowpass_fir(300, 512)\nwhite_template = white_template.highpass_fir(30, 512).lowpass_fir(300, 512)\n\n# Select the time around the merger\nwhite_data = white_data.time_slice(merger.time-.2, merger.time+.1)\nwhite_template = white_template.time_slice(merger.time-.2, merger.time+.1)\n\npylab.figure(figsize=[15, 3])\npylab.plot(white_data.sample_times, white_data, label=\"Data\")\npylab.plot(white_template.sample_times, white_template, label=\"Template\")\npylab.legend()\npylab.show()", "metadata": { "scrolled": true, "trusted": true }, "execution_count": 11, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": "#### Subtracting the signal from the data\n\nNow that we've aligned the template we can simply subtract it. Let's see below how that looks in the time-frequency plots!", "metadata": {} }, { "cell_type": "code", "source": "subtracted = conditioned - aligned\n\n# Plot the original data and the subtracted signal data\n\nfor data, title in [(conditioned, 'Original H1 Data'),\n (subtracted, 'Signal Subtracted from H1 Data')]:\n\n t, f, p = data.whiten(4, 4).qtransform(.001,\n logfsteps=100,\n qrange=(8, 8),\n frange=(20, 512))\n pylab.figure(figsize=[15, 3])\n pylab.title(title)\n pylab.pcolormesh(t, f, p**0.5, vmin=1, vmax=6)\n pylab.yscale('log')\n pylab.xlabel('Time (s)')\n pylab.ylabel('Frequency (Hz)')\n pylab.xlim(merger.time - 2, merger.time + 1)\n pylab.show()", "metadata": { "trusted": true }, "execution_count": 12, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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\n", 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" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": "## Challenge!\n\nUse the methods demonstrated above to see if you can calculate the SNR\ntime series in the following data sets. What is the SNR of each signal?\nWhich template matched which data?\n\nInformation that may be useful:\n\n* Signals are all placed between 100 and 120 seconds into the frame file.\n* You may assume mass1 = mass2 (equal mass) and that each component mass is one of 22, 36, or 50.\n* Each file starts at gps time 0, and ends at gps time 128\n* The channel name in each file is \"H1:TEST-STRAIN\"", "metadata": {} }, { "cell_type": "code", "source": "# Download the challenge set files\nfrom six.moves.urllib import request\n\ndef get_file(fname):\n url = \"https://github.com/ahnitz/odw-storage/raw/master/{}\"\n url = url.format(fname)\n request.urlretrieve(url, fname)\n print('Getting : {}'.format(url))\n\nfiles = ['PyCBC_T2_0.gwf', 'PyCBC_T2_1.gwf', 'PyCBC_T2_2.gwf',\n 'PyCBC_T2_3.gwf', 'PyCBC_T2_4.gwf']\n\nfor fname in files:\n get_file(fname)", "metadata": { "trusted": true }, "execution_count": 14, "outputs": [ { "text": "Getting : https://github.com/ahnitz/odw-storage/raw/master/PyCBC_T2_0.gwf\nGetting : https://github.com/ahnitz/odw-storage/raw/master/PyCBC_T2_1.gwf\nGetting : https://github.com/ahnitz/odw-storage/raw/master/PyCBC_T2_2.gwf\nGetting : https://github.com/ahnitz/odw-storage/raw/master/PyCBC_T2_3.gwf\nGetting : https://github.com/ahnitz/odw-storage/raw/master/PyCBC_T2_4.gwf\n", "name": "stdout", "output_type": "stream" } ] } ] }