{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Getting Started" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this tutorial, you'll learn the basics of using the `py21cmsense` library. See the [README](https://github.com/steven-murray/21cmSense) or the [CLI-tutorial](https://21cmsense.readthedocs.io/en/latest/tutorials/cli_tutorial.html) for information on the CLI interface." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:00.481824Z", "start_time": "2019-11-26T00:03:59.808909Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from astropy import units as un\n", "\n", "%matplotlib inline\n", "\n", "from py21cmsense import GaussianBeam, Observation, Observatory, PowerSpectrum, hera" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A Really Quick Demo" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's first just show how to go from nothing to a power spectrum sensitivity in a few lines. You'll need the four main components of the sensitivity -- a `PrimaryBeam` (in this case, the default `GaussianBeam`), an `Observatory`, an `Observation` and a `Sensitivity` (in this case, a `PowerSpectrum` one).\n", "\n", "We can literally construct the whole thing at once:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:00.491258Z", "start_time": "2019-11-26T00:04:00.484169Z" } }, "outputs": [], "source": [ "sensitivity = PowerSpectrum(\n", " observation=Observation(\n", " observatory=Observatory(\n", " antpos=hera(hex_num=7, separation=14 * un.m),\n", " beam=GaussianBeam(frequency=135.0 * un.MHz, dish_size=14 * un.m),\n", " latitude=38 * un.deg,\n", " )\n", " )\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "Warning\n", "\n", "Note that this uses a default power spectrum from 21cmFAST defined at $z=9.5$. It is up to you to use a different power spectrum if your observation redshift is different.\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If all we care about is the 1D power spectrum sensitivity (including thermal noise and sample variance):" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:18.884398Z", "start_time": "2019-11-26T00:04:00.492994Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: AstropyDeprecationWarning: Transforming a frame instance to a frame class (as opposed to another frame instance) will not be supported in the future. Either explicitly instantiate the target frame, or first convert the source frame instance to a `astropy.coordinates.SkyCoord` and use its `transform_to()` method. [astropy.coordinates.baseframe]\n", "finding redundancies: 100%|██████████| 126/126 [00:00<00:00, 538.35ants/s]\n", "computing UVWs: 100%|██████████| 39/39 [00:00<00:00, 122.86times/s]\n", "gridding baselines: 100%|██████████| 468/468 [00:00<00:00, 10213.19baselines/s]\n", "calculating 2D sensitivity: 100%|██████████| 216/216 [00:00<00:00, 327.98uv-bins/s]\n", "averaging to 1D: 100%|██████████| 66/66 [00:00<00:00, 2807.86kperp-bins/s]\n" ] } ], "source": [ "power_std = sensitivity.calculate_sensitivity_1d()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot the sensitivity:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:19.691415Z", "start_time": "2019-11-26T00:04:18.888465Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(sensitivity.k1d, power_std)\n", "plt.xlabel(\"k [h/Mpc]\")\n", "plt.ylabel(r\"$\\delta \\Delta^2_{21}$\")\n", "plt.yscale(\"log\")\n", "plt.xscale(\"log\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We could also have gotten the thermal-only and sample-only variance:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:23.116898Z", "start_time": "2019-11-26T00:04:19.693849Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "averaging to 1D: 100%|██████████| 66/66 [00:00<00:00, 2698.27kperp-bins/s]\n", "averaging to 1D: 100%|██████████| 66/66 [00:00<00:00, 2642.41kperp-bins/s]\n" ] } ], "source": [ "power_std_thermal = sensitivity.calculate_sensitivity_1d(thermal=True, sample=False)\n", "power_std_sample = sensitivity.calculate_sensitivity_1d(thermal=False, sample=True)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:23.498175Z", "start_time": "2019-11-26T00:04:23.118980Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(sensitivity.k1d, power_std, label=\"Total\")\n", "plt.plot(sensitivity.k1d, power_std_thermal, label=\"Thermal\")\n", "plt.plot(sensitivity.k1d, power_std_sample, label=\"Sample\")\n", "\n", "plt.xlabel(\"k [h/Mpc]\")\n", "plt.ylabel(r\"$\\delta \\Delta^2_{21}$\")\n", "plt.yscale(\"log\")\n", "plt.xscale(\"log\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Beam Object" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's go a bit more carefully and slowly through each of the components of the calculation. First we constructed a beam object. This can be directly accessed from our `sensitivity`:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:23.501519Z", "start_time": "2019-11-26T00:04:23.499447Z" } }, "outputs": [], "source": [ "beam = sensitivity.observation.observatory.beam" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2019-11-14T23:08:19.173039Z", "start_time": "2019-11-14T23:08:19.163246Z" } }, "source": [ "The beam houses attributes concerning the width and frequency-dependence of the beam. In practice, for the purpose of `21cmSense`, it defines both the duration of an LST-bin (i.e. a set of times that for a given baseline can be coherently averaged) and the width of a UV cell (in the default settings, all baselines that fall into a given UV cell in a given LST bin are coherently averaged). It also defines the extent of the \"wedge\". \n", "\n", "Note that beam objects (and, indeed, all objects in `21cmSense`) give all their outputs with `astropy`-based units. Here's some examples:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:23.512297Z", "start_time": "2019-11-26T00:04:23.502843Z" } }, "outputs": [ { "data": { "text/latex": [ "$0.16774102 \\; \\mathrm{rad}$" ], "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "beam.fwhm" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:23.520421Z", "start_time": "2019-11-26T00:04:23.514175Z" } }, "outputs": [ { "data": { "text/plain": [ "6.304361399245074" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "beam.uv_resolution" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:23.529260Z", "start_time": "2019-11-26T00:04:23.522041Z" } }, "outputs": [ { "data": { "text/latex": [ "$0.063589731 \\; \\mathrm{rad^{2}}$" ], "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "beam.b_eff" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that `PrimaryBeam` objects have attributes dependent on their frequency:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:23.537411Z", "start_time": "2019-11-26T00:04:23.530801Z" } }, "outputs": [ { "data": { "text/latex": [ "$135 \\; \\mathrm{MHz}$" ], "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "beam.frequency" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can simply construct a new beam at a new frequency with the `.at()` method:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:23.546394Z", "start_time": "2019-11-26T00:04:23.538967Z" } }, "outputs": [ { "data": { "text/latex": [ "$0.71191406 \\; \\mathrm{}$" ], "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "beam.at(160 * un.MHz).b_eff / beam.b_eff" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The `Observatory`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next in the hierarchy of objects is the `Observatory`, which defines the attributes of the observatory itself. There are several options that can be given to its constructor, but it _requires_ an array of antenna positions and a beam object (assumed to be the same for all antennas). You can view its documentation either with the `help` function, or at [the online docs](https://21cmsense.readthedocs.io/en/latest/reference/_autosummary/observatory/py21cmsense.observatory.Observatory.html#py21cmsense.observatory.Observatory).\n", "\n", "It also has some handy methods:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:23.551668Z", "start_time": "2019-11-26T00:04:23.548229Z" } }, "outputs": [], "source": [ "observatory = sensitivity.observation.observatory" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can easily make a plot of the baseline positions:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:23.899437Z", "start_time": "2019-11-26T00:04:23.553291Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5, 4.5))\n", "plt.scatter(observatory.baselines_metres[:, :, 0], observatory.baselines_metres[:, :, 1], alpha=0.1)\n", "plt.xlabel(\"Baseline Length [x, m]\")\n", "plt.ylabel(\"Baseline Length [y, m]\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or we can make a histogram of the baseline lengths (in wavelengths):" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:24.090814Z", "start_time": "2019-11-26T00:04:23.905250Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.hist(observatory.baseline_lengths.flatten(), bins=40);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The duration of an LST bin is also encoded in the observatory:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:24.096147Z", "start_time": "2019-11-26T00:04:24.092435Z" } }, "outputs": [ { "data": { "text/latex": [ "$38.44341 \\; \\mathrm{min}$" ], "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "observatory.observation_duration.to(\"min\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `Observatory` is in charge of the work of finding redundant baseline groups, as well as gridding the baselines (though these methods are _called_ from the `Observation` itself):" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:24.422713Z", "start_time": "2019-11-26T00:04:24.097808Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: AstropyDeprecationWarning: Transforming a frame instance to a frame class (as opposed to another frame instance) will not be supported in the future. Either explicitly instantiate the target frame, or first convert the source frame instance to a `astropy.coordinates.SkyCoord` and use its `transform_to()` method. [astropy.coordinates.baseframe]\n", "finding redundancies: 100%|██████████| 126/126 [00:00<00:00, 817.13ants/s]\n" ] } ], "source": [ "red_bl = observatory.get_redundant_baselines()" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2019-11-14T23:26:10.810566Z", "start_time": "2019-11-14T23:26:10.672504Z" } }, "source": [ "The output of this method is a little obfuscated, but it can be converted to something more easy to deal with:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:24.769029Z", "start_time": "2019-11-26T00:04:24.427757Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "baseline_group_coords = observatory.baseline_coords_from_groups(red_bl)\n", "baseline_group_counts = observatory.baseline_weights_from_groups(red_bl)\n", "\n", "\n", "plt.figure(figsize=(7, 5))\n", "plt.scatter(baseline_group_coords[:, 0], baseline_group_coords[:, 1], c=baseline_group_counts)\n", "cbar = plt.colorbar()\n", "cbar.set_label(\"Number of baselines in group\", fontsize=15)\n", "plt.tight_layout();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To grid the baselines, with rotation synthesis:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:26.006133Z", "start_time": "2019-11-26T00:04:24.770592Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "computing UVWs: 100%|██████████| 39/39 [00:00<00:00, 117.02times/s]\n", "gridding baselines: 100%|██████████| 468/468 [00:00<00:00, 11807.98baselines/s]\n" ] } ], "source": [ "coherent_grid = observatory.grid_baselines(\n", " coherent=True, baselines=baseline_group_coords, weights=baseline_group_counts\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we can view this grid:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:26.271066Z", "start_time": "2019-11-26T00:04:26.007866Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(coherent_grid, extent=(observatory.ugrid().min(), observatory.ugrid().max()) * 2)\n", "cbar = plt.colorbar()\n", "cbar.set_label(\"Effective # of Samples\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The `Observation`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `Observation` object has many more user-fed parameters -- again, see them by using `help(Observation)`, or by reading the [online docs](https://21cmsense.readthedocs.io/en/latest/reference/_autosummary/observation/py21cmsense.observation.Observation.html#py21cmsense.observation.Observation).\n", "Primarily, its job is to use these parameters to supply the `Observatory` methods with the parameters they need to derive their results." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:26.275779Z", "start_time": "2019-11-26T00:04:26.272887Z" } }, "outputs": [], "source": [ "observation = sensitivity.observation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For example, the baseline groups derived in the previous section show up as an _attribute_ of the `Observation`:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:26.620696Z", "start_time": "2019-11-26T00:04:26.277549Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7, 5))\n", "x = [bl_group[0] for bl_group in observation.baseline_groups]\n", "y = [bl_group[1] for bl_group in observation.baseline_groups]\n", "c = [len(bls) for bls in observation.baseline_groups.values()]\n", "\n", "plt.scatter(x, y, c=c)\n", "cbar = plt.colorbar()\n", "cbar.set_label(\"Number of baselines in group\", fontsize=15)\n", "plt.tight_layout();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also get the total effective integration time spent in each UV cell (adjusting for coherent and incoherent averaging and all baselines):" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:26.858803Z", "start_time": "2019-11-26T00:04:26.622293Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(\n", " observation.total_integration_time.to(\"hour\").value,\n", " extent=(observation.ugrid.min(), observation.ugrid.max()) * 2,\n", ")\n", "cbar = plt.colorbar()\n", "cbar.set_label(\"Total Integration Time [hours]\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One nifty feature is that you can clone any of these objects, and replace certain attributes. So we can do:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:26.866759Z", "start_time": "2019-11-26T00:04:26.861398Z" } }, "outputs": [], "source": [ "observation_2 = observation.clone(coherent=False)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:28.401382Z", "start_time": "2019-11-26T00:04:26.869184Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "finding redundancies: 100%|██████████| 126/126 [00:00<00:00, 812.29ants/s]\n", "computing UVWs: 100%|██████████| 39/39 [00:00<00:00, 145.02times/s]\n", "gridding baselines: 100%|██████████| 468/468 [00:00<00:00, 13602.11baselines/s]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(\n", " observation_2.total_integration_time.to(\"hour\").value,\n", " extent=(observation_2.ugrid.min(), observation_2.ugrid.max()) * 2,\n", ")\n", "cbar = plt.colorbar()\n", "cbar.set_label(\"Total Integration Time [hours]\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice the reduction in effective integration time due to the assumption that different baseline groups cannot ever be averaged coherently." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note also that these objects can be directly compared:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:28.405903Z", "start_time": "2019-11-26T00:04:28.402770Z" } }, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "observation == observation_2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The `Sensitivity`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The design of `21cmSense` is such that one might define sensitivity calculations for arbitrary statistical measurements from an interferometer. The default one that is implemented is the power spectrum (both 1D and 2D cylindrical).\n", "\n", "We have already shown some methods of the `PowerSpectrum` `Sensitivity`. It also has some helpful methods to calculate horizon lines etc. Let's see what the 2D sensitivity looks like:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:28.436239Z", "start_time": "2019-11-26T00:04:28.407140Z" } }, "outputs": [], "source": [ "sense2d = sensitivity.calculate_sensitivity_2d()" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2019-11-14T23:53:12.256614Z", "start_time": "2019-11-14T23:53:12.053743Z" } }, "source": [ "The output here is a little strange -- a dict of arrays. It can be used to make a 2D plot though:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:08:43.240340Z", "start_time": "2019-11-26T00:08:42.983884Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sensitivity.plot_sense_2d(sense2d)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Conversely, we can calculate the 2D sensitivity on a grid of $k_{\\rm perp}, k_{||}$:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "averaging to 2D grid: 100%|██████████| 66/66 [00:00<00:00, 4148.86kperp-bins/s]\n" ] } ], "source": [ "kperp = un.Quantity(np.linspace(0.01, 0.07, 15), \"littleh/Mpc\")\n", "kpar = un.Quantity(np.linspace(0.1, 2, 15), \"littleh/Mpc\")\n", "sense_gridded = sensitivity.calculate_sensitivity_2d_grid(kperp_edges=kperp, kpar_edges=kpar)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(np.log10(sense_gridded.value.T), origin=\"lower\")\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice the massive increase in sensitivity (lower values) because we binned in larger bins." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Excluding arbitrary k-bins" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default, the `PowerSpectrum` sensitivity class excludes modes in the wedge (plus some optional buffer) from contributing to the sensitivity. However, a particular experiment may have certain cylindrical $k$ bins that are known to be affected by systematics (perhaps due to eg. cable reflections). You can ignore these modes by setting the `systematics_mask` parameter:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "cable_refl_range = (un.Quantity(1.2, \"littleh/Mpc\"), un.Quantity(1.4, \"littleh/Mpc\"))\n", "new_sense = sensitivity.clone(\n", " systematics_mask=lambda kperp, kpar: (np.abs(kpar) < cable_refl_range[0])\n", " | (np.abs(kpar) > cable_refl_range[1])\n", ")" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "calculating 2D sensitivity: 100%|██████████| 216/216 [00:00<00:00, 386.70uv-bins/s]\n" ] }, { "data": { "image/png": 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", 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