{ "cells": [ { "cell_type": "markdown", "id": "8b030c39", "metadata": {}, "source": [ "# Localization" ] }, { "cell_type": "markdown", "id": "4516a17f", "metadata": {}, "source": [ "In this tutorial we'll estimate the localization of a source based on a classical maximum likelihood estimate (MLE) method. \n", "\n", "The key class is `TSMap` which generates a test statistics map based on one or more objects of the `LocLike` class. All derived classes of `LocLike` provide the likelihood for a given coordinate through the `get_log_like` method. This allows multiple instruments to participate in a joint fit by creating an appropiate `LocLike` subclass.\n", "\n", "For this example we'll use the simple `NormLocLike` subclass, which defines the Poisson likelihood for a photon-counting experiment as\n", "\n", "$$\n", "\\log \\mathcal{L}(N) = \\sum_i \\log P(\\lambda = b_i + N e_i; d_i) = \\sum_i \\log \\frac{\\lambda^{d_i} e^\\lambda}{d_i!} , \n", "$$\n", "\n", "where\n", "\n", "- $d_i$ are the set of counts detected by each detector\n", "- $b_i$ are the estimated background counts\n", "- $e_i$ are the estimated excess counts for a given hypothesis\n", "- $N$, the only free parameter, is the overall normalization.\n", "\n", "We proceed to use a full instrument response file to compute the estimated excess counts `e_i` based on a fiducial 1s burst with an index -2 power law spectrum:" ] }, { "cell_type": "code", "execution_count": 3, "id": "49818be1", "metadata": {}, "outputs": [], "source": [ "import bctools.data as data\n", "from bctools.io import InstrumentResponse\n", "from bctools.loc import LocalLocTable\n", "from bctools.spectra.spectrum import PowerLaw\n", "\n", "# Convolve an full instrument response with a hypothetical spectrum\n", "irf_path = data.path/'sims/drm.h5'\n", "\n", "with InstrumentResponse(irf_path) as irf: \n", " \n", " # Hypothetical spectrum\n", " # This normalization corresponds to 1 ph/cm2/s between 50-300 keV\n", " spectrum = PowerLaw(60, 2)\n", " \n", " # In this case we integrate the rate from all energy channels. \n", " # You can subdivide the data into multiple energy channel groups\n", " local_loctable = LocalLocTable.from_irf(irf, spectrum)\n", " \n", "# The local_loctable contains the expected rates in spacecraft coordinates\n", "# We now need to use this to estimate the total expected counts in sky coordinate for\n", "# the full duration of an event. \n", "# In this case we simply have a 1 second event and specifying the attitude by a quaternion\n", "# ([0,0,0,1] corresponds to the identity rotation). You can have multiple attitude-duration\n", "# pairs to correctly model long duration events.\n", "sky_loctable = local_loctable.to_skyloctable(attitude = [0,0,0,1], duration = 1)" ] }, { "cell_type": "markdown", "id": "ee544ca0", "metadata": {}, "source": [ "Here's how the look-up tables in `norm_likelihood` look. Note that we're using a low-resolution instrument response. Although these tables are bilinearly interpolated, you typically need a resolution comparable to the localization uncertainty you expect." ] }, { "cell_type": "code", "execution_count": 2, "id": "9bdf34a8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Look-up tables: ['SQD0' 'SQD1' 'SQD2' 'SQD3']\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "print(f\"Look-up tables: {sky_loctable.labels}\")\n", "\n", "sky_loctable.get_expectation_map('SQD0').plot();" ] }, { "cell_type": "markdown", "id": "89bf1735", "metadata": {}, "source": [ "Now that we have the expected excessthe remaining ingredients are the actual measured counts and their corresponding estimated background counts. For real event these come from data. In this case we'll simulate a background rate of 1 kHz per detector and a source of 2 ph/cm2/s at (RA = 60deg, Dec = 45deg)" ] }, { "cell_type": "code", "execution_count": 4, "id": "815b77e5", "metadata": {}, "outputs": [], "source": [ "from astropy.coordinates import SkyCoord\n", "import astropy.units as u\n", "\n", "# 1 kHz per detector (we're simulating a 1s burst)\n", "bkg = [1000, 1000, 1000, 1000]\n", "sky_loctable.set_background(bkg)\n", "\n", "# Injected source location\n", "coord = SkyCoord(ra = 60*u.deg, dec = 45*u.deg)\n", "\n", "# 2 ph/cm2/s between 50-300 keV (our hypothetital source was 1 ph/cm2/s)\n", "signal = 2*sky_loctable.get_expectation(coord)\n", "\n", "sky_loctable.set_data(bkg + signal)" ] }, { "cell_type": "markdown", "id": "cac4b358", "metadata": {}, "source": [ "With all the ingredients in place, we can now compute a test-statistics map: " ] }, { "cell_type": "code", "execution_count": 5, "id": "2050bf6d", "metadata": {}, "outputs": [], "source": [ "from bctools.loc import TSMap, NormLocLike\n", "\n", "# NormLocLike is a subclass of LocLike and computes\n", "# a Poisson likelihood for counting instruments. The\n", "# overall normalization is the only free parameter\n", "norm_likelihood = NormLocLike(sky_loctable)\n", "\n", "# Define a map of nside = 32. Note that this is a finer resolution\n", "# that the underlying look-up table, which will be interpolated\n", "ts = TSMap(nside = 32, coordsys = 'icrs')\n", "\n", "# Compute the TS map from one or more LocLikelihood\n", "ts.compute(norm_likelihood)" ] }, { "cell_type": "markdown", "id": "46acbde0", "metadata": {}, "source": [ "These are the results:" ] }, { "cell_type": "code", "execution_count": 6, "id": "d2bfa070", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum sqrt(TS) = 12.55\n", "Best estimate: RA = 61.50 deg Dec= 44.99 deg\n", "Error area (90% cont.): 1937.09 deg2\n", "Equivalent error radius (90% cont.): 24.83 deg\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "print(f\"Maximum sqrt(TS) = {np.sqrt(np.max(ts)):.2f}\")\n", "print(f\"Best estimate: RA = {ts.best_loc().ra:.2f} Dec= {ts.best_loc().dec:.2f}\")\n", "print(f\"Error area (90% cont.): {ts.error_area(cont = .9).to(u.deg**2):.2f}\")\n", "print(f\"Equivalent error radius (90% cont.): {np.sqrt(ts.error_area(cont = .9)/np.pi).to(u.deg):.2f}\")\n", "\n", "img,ax = ts.plot()\n", "ax.grid(alpha = .5)\n", "\n", "# Actual location of simulated source\n", "ax.scatter(coord.ra.to(u.deg).value, coord.dec.to(u.deg).value, \n", " color = 'red', transform = ax.get_transform('world'), s = 2);" ] }, { "cell_type": "code", "execution_count": null, "id": "d04ca580", "metadata": {}, "outputs": [], "source": [] } ], "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": "3.7.12" } }, "nbformat": 4, "nbformat_minor": 5 }