{ "cells": [ { "cell_type": "markdown", "id": "ee87ef5f", "metadata": {}, "source": [ "# Adding observational effects in your model power spectrum\n", "\n", "You should first check [why is it important to have the correct survey dimension](https://meer21cm.readthedocs.io/en/latest/cookbook/survey_dimension.html). Then, hopefully now you are already familiar with creating a survey volume and corresponding k-modes:" ] }, { "cell_type": "code", "execution_count": 1, "id": "76b93548", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/zhaotingchen/miniconda3/envs/meer21cm/lib/python3.10/site-packages/halomod/halo_model.py:32: UserWarning: Warning: Some Halo-Exclusion models have significant speedup when using Numba\n", " from .halo_exclusion import Exclusion, NoExclusion\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from meer21cm import util\n", "from meer21cm.plot import plot_map\n", "from meer21cm import PowerSpectrum\n", "\n", "z_min = 0.5\n", "z_max = 1.5\n", "# frequency resolution in Hz, use your own number\n", "freq_resol = 0.5e6\n", "num_ch = int((util.redshift_to_freq(z_min)-util.redshift_to_freq(z_max))/freq_resol)\n", "# obtain the frequency channels\n", "nu = np.linspace(0,num_ch-1,num_ch) * freq_resol + util.redshift_to_freq(z_max)\n", "\n", "ra_range = [-45, 80]\n", "dec_range = [-70, 5]\n", "ang_resol = 1.0 # in deg, similar to beam size here for simplicity\n", "num_pix_x = 102 # one extra on each side as buffer\n", "num_pix_y = 102 # one extra on each side as buffer\n", "wcs, num_pix_x, num_pix_y = util.create_wcs_with_range(\n", " ra_range,\n", " dec_range,\n", " [ang_resol,ang_resol],\n", ")\n", "\n", "ps = PowerSpectrum(\n", " wproj=wcs,\n", " num_pix_x=num_pix_x,\n", " num_pix_y=num_pix_y,\n", " nu=nu,\n", " ra_range=ra_range,\n", " dec_range=dec_range,\n", " # downscale the resolution along line-of-sight\n", " downres_factor_radial = 1.5,\n", " # downscale the resolution on the transverse plane\n", " downres_factor_transverse = 1.2,\n", " omega_hi = 5e-4,\n", " tracer_bias_1 = 1.5,\n", " mean_amp_1 = 'average_hi_temp'\n", ")\n", "\n", "ps.get_enclosing_box()" ] }, { "cell_type": "markdown", "id": "9ee96f60", "metadata": {}, "source": [ "Now we have the realistic k-modes. In principle, you can then use your own modelling to generate the 3D power spectrum, by inputting `ps.kmode` and `ps.mumode`. For now, let us just use the simple linearly biased HI power spectrum with a kaiser RSD effect:" ] }, { "cell_type": "code", "execution_count": 2, "id": "d355557e", "metadata": {}, "outputs": [], "source": [ "ps.k1dbins = np.geomspace(2e-3, 0.1, 11)\n", "ps.kperpbins = np.linspace(0, 0.066, 12)\n", "ps.kparabins = np.linspace(0, 0.1, 21)\n", "pscy,_ = ps.get_cy_power(ps.auto_power_tracer_1_model)\n", "ps1d,keff,_ = ps.get_1d_power(ps.auto_power_tracer_1_model)\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "686bb303", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'k$_\\\\parallel$')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.pcolormesh(ps.kperpbins, ps.kparabins, np.log10(pscy).T)\n", "plt.colorbar()\n", "plt.xlabel(r'k$_\\perp$')\n", "plt.ylabel(r'k$_\\parallel$')" ] }, { "cell_type": "code", "execution_count": 4, "id": "3a0ccd65", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'P(k)')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(keff, ps1d)\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.xlabel(r'k')\n", "plt.ylabel(r'P(k)')" ] }, { "cell_type": "markdown", "id": "0b398cde", "metadata": {}, "source": [ "## Beam attenuation\n", "\n", "The first thing you can add is the beam. This is taken care of by adding a Gaussian attenuation, with the beam width (**sigma, not FWHM**) specified by `ps.sigma_beam_ch`:" ] }, { "cell_type": "code", "execution_count": 5, "id": "85a518d8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "np.float64(27.242727548225005)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ps.sigma_beam_ch = 0.5 # in deg\n", "ps.sigma_beam_in_mpc" ] }, { "cell_type": "markdown", "id": "6f8e5da9", "metadata": {}, "source": [ "You can put in a frequency dependent beam as well by passing an array to `ps.sigma_beam_ch`. It matter only in mock simulation. At modelling level the only thing that matters is the `ps.sigma_beam_in_mpc` (which of course is a simplifcation that may be inaccurate). Then you can retrieve the beam attenuation term:" ] }, { "cell_type": "code", "execution_count": 6, "id": "39748de3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(87, 119, 378)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ps.beam_attenuation().shape\n" ] }, { "cell_type": "markdown", "id": "062b357d", "metadata": {}, "source": [ "You can then simply multiply this term **squared** (in auto power spectrum) to your model. If you use the simple model provided in `meer21cm`, then this is automatically applied when you set `sigma_beam_ch` and `include_beam`;" ] }, { "cell_type": "code", "execution_count": 7, "id": "f0af45a4", "metadata": {}, "outputs": [], "source": [ "ps.include_beam = [True, False]# first element is HI" ] }, { "cell_type": "code", "execution_count": 8, "id": "0147539d", "metadata": {}, "outputs": [], "source": [ "ps1d_beam,keff,_ = ps.get_1d_power(ps.auto_power_tracer_1_model)\n", "# this is the same as manually applying average temperature and beam\n", "ps1d_beam2,keff,_ = ps.get_1d_power(\n", " ps.average_hi_temp**2 * ps.auto_power_tracer_1_model_noobs*ps.beam_attenuation()**2\n", ")\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "9fd8b736", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'P(k)')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(keff, ps1d)\n", "plt.plot(keff, ps1d_beam)\n", "plt.plot(keff, ps1d_beam2,ls=':')\n", "\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.xlabel(r'k')\n", "plt.ylabel(r'P(k)')" ] }, { "cell_type": "markdown", "id": "db4c3749", "metadata": {}, "source": [ "## Map resolution\n", "\n", "HI intensity maps are averaged into sky pixels and frequency channels. This leads to a window function effect in the power spectrum. In `meer21cm`, you can retrieve this effect by first setting the sampling resolution of the map cube:" ] }, { "cell_type": "code", "execution_count": 10, "id": "a0422673", "metadata": {}, "outputs": [], "source": [ "ps.sampling_resol = [\n", " ps.pix_resol_in_mpc,\n", " ps.pix_resol_in_mpc,\n", " ps.los_resol_in_mpc,\n", "]" ] }, { "cell_type": "code", "execution_count": 11, "id": "54f17aff", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(87, 119, 378)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ps.map_sampling().shape" ] }, { "cell_type": "markdown", "id": "0983dff0", "metadata": {}, "source": [ "Again, you can multiply this term **squared** to the power spectrum. In `meer21cm`, this is automatically included if you turn on `ps.include_sky_sampling`:" ] }, { "cell_type": "code", "execution_count": 12, "id": "defcc464", "metadata": {}, "outputs": [], "source": [ "ps.include_sky_sampling = [True, False]" ] }, { "cell_type": "code", "execution_count": 13, "id": "27282676", "metadata": {}, "outputs": [], "source": [ "ps1d_beam_map,keff,_ = ps.get_1d_power(ps.auto_power_tracer_1_model)\n", "# this is the same as manually applying average temperature and beam\n", "ps1d_beam_map2,keff,_ = ps.get_1d_power(\n", " ps.average_hi_temp**2 \n", " * ps.auto_power_tracer_1_model_noobs\n", " * ps.beam_attenuation()**2\n", " * ps.map_sampling()**2\n", ")\n" ] }, { "cell_type": "code", "execution_count": 14, "id": "ac1e6df4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'P(k)')" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(keff, ps1d)\n", "plt.plot(keff, ps1d_beam_map)\n", "plt.plot(keff, ps1d_beam_map2,ls=':')\n", "\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.xlabel(r'k')\n", "plt.ylabel(r'P(k)')" ] }, { "cell_type": "markdown", "id": "60a6f492", "metadata": {}, "source": [ "## Gridding compensation\n", "\n", "HI intensity maps, as well as galaxy catalogues, are gridded onto the rectangular grid. This creates an additional windowing effect that attenuates the power spectrum. You can add in this effect by having set the box dimensions using `ps.get_enclosing_box()`, specify the mass assignment scheme, and then turn on `ps.compensate`:" ] }, { "cell_type": "code", "execution_count": 15, "id": "76acd49c", "metadata": {}, "outputs": [], "source": [ "ps.compensate = [True, True]\n", "ps.grid_scheme = 'cic' # [nnb, cic, tsc, pcs]" ] }, { "cell_type": "code", "execution_count": 16, "id": "c34a7861", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(87, 119, 378)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ps.gridding_compensation().shape" ] }, { "cell_type": "markdown", "id": "b73ff264", "metadata": {}, "source": [ "Again, you can multiply this term **squared** to your power spectrum:" ] }, { "cell_type": "code", "execution_count": 17, "id": "545855e1", "metadata": {}, "outputs": [], "source": [ "ps1d_beam_map_comp,keff,_ = ps.get_1d_power(ps.auto_power_tracer_1_model)\n", "# this is the same as manually applying average temperature and beam\n", "ps1d_beam_map_comp2,keff,_ = ps.get_1d_power(\n", " ps.average_hi_temp**2 \n", " * ps.auto_power_tracer_1_model_noobs\n", " * ps.beam_attenuation()**2\n", " * ps.map_sampling()**2\n", " * ps.gridding_compensation()**2\n", ")\n" ] }, { "cell_type": "code", "execution_count": 18, "id": "06479369", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'P(k)')" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(keff, ps1d)\n", "plt.plot(keff, ps1d_beam_map_comp)\n", "plt.plot(keff, ps1d_beam_map_comp2,ls=':')\n", "\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.xlabel(r'k')\n", "plt.ylabel(r'P(k)')" ] }, { "cell_type": "markdown", "id": "cc9e0c3e", "metadata": {}, "source": [ "## Weights convolution\n", "Finally, the gridded box is not uniformly weighted when performing Fourier transformation. The weighting effectively creates a convolution in Fourier space with the power spectrum.\n", "\n", "In `meer21cm`, you can easily retrieve the box grid sampling by performing a gridding (note this is just to invoke the calculation, you don't need any data in):" ] }, { "cell_type": "code", "execution_count": 19, "id": "fc283c5f", "metadata": {}, "outputs": [], "source": [ "ps.grid_data_to_field();" ] }, { "cell_type": "code", "execution_count": 20, "id": "3c242d8e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1,3,figsize=(15,5))\n", "for i, ax in enumerate(axes):\n", " ax.imshow(ps.counts_in_box.mean(i),aspect='auto')\n", " " ] }, { "cell_type": "markdown", "id": "cdf7d68b", "metadata": {}, "source": [ "The weighting is then the counts of pixels in the box grids. In `meer21cm` you can set the associated weights to toggle the convolution, which under the hood uses `get_modelpk_conv`:" ] }, { "cell_type": "code", "execution_count": 21, "id": "aa3299eb", "metadata": {}, "outputs": [], "source": [ "from meer21cm.power import get_modelpk_conv" ] }, { "cell_type": "code", "execution_count": 22, "id": "eeedb219", "metadata": {}, "outputs": [], "source": [ "ps.weights_1 = ps.counts_in_box.astype('float')" ] }, { "cell_type": "code", "execution_count": 23, "id": "4dcbe1da", "metadata": {}, "outputs": [], "source": [ "ps1d_beam_map_comp_w,keff,_ = ps.get_1d_power(ps.auto_power_tracer_1_model)\n", "# this is the same as manually applying average temperature and beam\n", "ps1d_beam_map_comp_w2,keff,_ = ps.get_1d_power(\n", " get_modelpk_conv(ps.average_hi_temp**2 \n", " * ps.auto_power_tracer_1_model_noobs\n", " * ps.beam_attenuation()**2\n", " * ps.map_sampling()**2\n", " * ps.gridding_compensation()**2,\n", " ps.weights_1,\n", " ps.weights_1,\n", " )\n", ")\n" ] }, { "cell_type": "code", "execution_count": 24, "id": "70032888", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'P(k)')" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(keff, ps1d)\n", "plt.plot(keff, ps1d_beam_map_comp_w)\n", "plt.plot(keff, ps1d_beam_map_comp_w2,ls=':')\n", "\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.xlabel(r'k')\n", "plt.ylabel(r'P(k)')" ] }, { "cell_type": "markdown", "id": "350e5fde", "metadata": {}, "source": [ "Note that the weights convolution is normalised in amplitude. To visualise its effect you should check mode-mixing:" ] }, { "cell_type": "code", "execution_count": 25, "id": "b96c761a", "metadata": {}, "outputs": [], "source": [ "ps.weights_1 = None\n", "pscy_noweights,_ = ps.get_cy_power(ps.auto_power_tracer_1_model)\n", "ps.weights_1 = ps.counts_in_box.astype('float')\n", "pscy_weights,_ = ps.get_cy_power(ps.auto_power_tracer_1_model)" ] }, { "cell_type": "code", "execution_count": 26, "id": "47b0bd01", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(np.float64(-6.6116079471293245), np.float64(-2.52761634643415))" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.log10(pscy_noweights).min(),np.log10(pscy_noweights).max()," ] }, { "cell_type": "code", "execution_count": 27, "id": "9082789d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1,2,figsize=(12,5))\n", "ax = axes[0]\n", "ax.pcolormesh(ps.kperpbins, ps.kparabins, np.log10(pscy_noweights).T, vmin=-6.7,vmax=-2.5)\n", "ax = axes[1]\n", "ax.pcolormesh(ps.kperpbins, ps.kparabins, np.log10(pscy_weights).T, vmin=-6.7,vmax=-2.5)\n" ] }, { "cell_type": "code", "execution_count": null, "id": "49c8f95a", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "meer21cm", "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": "3.10.16" } }, "nbformat": 4, "nbformat_minor": 5 }