{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Effect of weights in the power spectrum estimator and the modelling\n", "\n", "## Formalism\n", "In power spectrum analysis, there are two types of weighting that exist in the estimator. \n", "\n", "First of all, there is a **field-level** weighting that directly applies to the tracer field. For example, for galaxy clustering, the galaxy number density is modified by the redshift kernel, i.e. $\\rm dn/dz$, of the sample as well as the survey geometry. For HI, this is usually ignored, but effects such as bandpass errors are effectively in this category.\n", "\n", "On the other hand, there can be a **grid-level** weighting that is up to the choice of the analyst. For example, in galaxy clustering, it is common to perform the gridding of the galaxy catalogue to the mesh grids and then apply a FKP weighting. In HI, it is common to apply an inverse noise variance weighting based on the number of data time stamps in each grid.\n", "\n", "These two weightings are different **because there are several steps of data processing in between the two**. In `meer21cm`, the implementation of the mock signal modelling follows:\n", "\n", "$$\n", "\\begin{split}\n", "{\\delta}^{\\rm obs}_{1,2} (\\vec{x}) = \\Bigg[\\bigg[\\Big[\\big[{\\delta}^{\\rm theory}_{1,2} (\\vec{x}) \\circledast B_{1,2}(\\vec{x})\\big] \n", " \\times {w}^f_{1,2}(\\vec{x})\\Big]\n", " \\circledast G^{\\rm map}_{1,2}(\\vec{x})\\bigg] \n", " \\circledast G^{\\rm grid}_{1,2}(\\vec{x})\\Bigg] \n", " \\times {w}^g_{1,2}(\\vec{x})\n", "\\end{split}\n", "$$\n", "where ${w}^{f/g}_{1,2}$ denotes the field/grid weights for the first/second tracer, $\\circledast$ denotes convolution, $B_{1,2}$ denotes the primary beam attenuation and channelisation, $G_{\\rm map}$ denotes the effect of sky map-making and $G_{\\rm grid}$ denotes the effect of gridding.\n", "\n", "On the other hand, at the level of the power spectrum, we then model the clustering as\n", "\n", "$$\n", "\\begin{split}\n", "{P}^{\\rm obs}_{1,2} (\\vec{k}) = \\bigg[ P^{\\rm theory}_{1,2} \n", "\\, \\tilde{B}_{1}\\,\\tilde{B}_{2} \\, \\tilde{G}_{1}^{\\rm map}\\, \\tilde{G}_{2}^{\\rm map}\\, \\tilde{G}_{1}^{\\rm grid}\\, \\tilde{G}_{2}^{\\rm grid}\\bigg] \\circledast \n", "\\bigg[ \\tilde{w}^f_{1}\\tilde{w}^g_{1} \\big( \\tilde{w}^f_{2}\\tilde{w}^g_{2} \\big)^* \\bigg]\n", "\\end{split}\n", "$$\n", "\n", "Note the **implicit simplification** here: We are effectively assuming that the multiplication of $w^f$ and the convolution of map-making as well as gridding are **commutable**. If you think about the density field in Fourier space, it is first convolved with $\\tilde{w}^f$ and then multiplied by the gridding effects. Swapping the two means that you assume $\\tilde{w}^f(\\vec{k})$ is a very narrow window in $k$, so that within that narrow tophat, $\\tilde{G}^{\\rm map}$ and $\\tilde{G}^{\\rm grid}$ can be treated as constants and therefore the order of applying these effects does not matter.\n", "\n", "For this note, let us use mock simulations to study the effects of the two weightings. We use flat sky approximation and only look at galaxy auto-power, so that there is no beam, map-making or gridding ($B = G_{\\rm map} = G_{\\rm grid} = \\delta_{\\rm D}$, the Dirac delta)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from meer21cm.mock import MockSimulation\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.signal import windows\n", "from scipy.interpolate import interp1d\n", "from meer21cm.plot import plot_map\n", "from meer21cm.power import power_weights_renorm\n", "from meer21cm.power import get_shot_noise_galaxy" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# start from scratch, generate galaxy catalogue that is trimmed and have dndz\n", "mock = MockSimulation(\n", " survey=\"meerklass_2021\",\n", " band=\"L\",\n", ")\n", "dndz = interp1d(np.linspace(mock.z_ch.min(),mock.z_ch.max(),100),windows.blackmanharris(100),bounds_error=False,fill_value=0)\n", "raminMK, ramaxMK = 334, 357\n", "decminMK, decmaxMK = -35, -26.5\n", "ra_range = (raminMK, ramaxMK)\n", "dec_range = (decminMK, decmaxMK)\n", "# all the other settings follow the default, which corresponds to the MeerKLASS L-band deep-field survey\n", "mock = MockSimulation(\n", " survey=\"meerklass_2021\",\n", " band=\"L\",\n", " flat_sky=True,\n", " #num_discrete_source=1e5,\n", " num_discrete_source=1e5,\n", " #seed=47,\n", " tracer_bias_2=1.0,\n", " mean_amp_1='average_hi_temp',\n", " ra_range=ra_range,\n", " dec_range=dec_range,\n", " discrete_source_dndz=dndz,\n", " #seed=101,\n", ")\n", "#mock.w_HI = np.ones_like(mock.w_HI)\n", "#mock.W_HI = np.ones_like(mock.W_HI)\n", "# generate the mock tracer\n", "mock.propagate_mock_tracer_to_gal_cat()\n", "# grid to galaxy number count\n", "gal_count,_,_ = mock.grid_gal_to_field()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "mock.k1dbins = np.linspace(\n", " mock.k_mode[mock.k_mode!=0].min(),\n", " mock.k_mode[mock.k_mode!=0].max(),\n", " 16\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "let us first take a look at the galaxies we generate. The input asserts two field-level weights, which is the survey area:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_map(mock.W_HI,mock.wproj,title='Survey geometry')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and the redshift kernel:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,4))\n", "ax = plt.gca()\n", "ax.plot(np.linspace(0.38,0.46,100),dndz(np.linspace(0.38,0.46,100)),label='Input redshift kernel')\n", "ax.set_xlabel(r'$z$')\n", "ax.set_ylabel(r'$\\rm dN/dz$')\n", "ax.legend(loc='upper left')\n", "ax2 = ax.twinx()\n", "ax2.plot(mock.z_ch,gal_count.sum(axis=(0,1)),label='Galaxy number count',\n", " ls='--',c='k')\n", "ax2.set_ylabel(r'$\\rm N_{gal}$')\n", "ax2.legend(loc='upper right')\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# visualise the galaxy positions:\n", "plot_map(mock.W_HI,mock.wproj,title='Survey geometry')\n", "ax = plt.gca()\n", "ax.scatter(mock.ra_gal,mock.dec_gal,s=0.1,alpha=0.5,\n", " transform=ax.get_transform('world'),)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Field-level weights\n", "\n", "We can then assemble the field-level weights:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# the dndz projected to the 3D box\n", "dndz_box = mock.discrete_source_dndz(mock._box_voxel_redshift)\n", "# the survey geometry\n", "geomoetry_gal = mock.w_HI.copy()\n", "# the field-level weights\n", "wf_gal = dndz_box * geomoetry_gal" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And then calculate the power spectrum, where the weighting is automatically taken care of:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# galaxy number count to overdensity\n", "mock.field_2 = gal_count\n", "mock.weights_field_2 = wf_gal\n", "mock.mean_center_2 = True\n", "mock.unitless_2 = True\n", "# G_grid = 1\n", "mock.compensate = [False,False]\n", "# G_map = 1\n", "mock.include_sky_sampling = [False,False]\n", "# B = 1\n", "mock.include_beam = [False,False]\n", "mock.weights_grid_2 = None\n", "# get the 3D power spectrum\n", "power_mock = mock.auto_power_3d_2.copy()\n", "# since we haven't set any weight, the model power is not convolved\n", "power_model_no_weights = mock.auto_power_matter_model.copy()\n", "# shot noise is survey volume over number of galaxies\n", "#shot_noise = np.prod(mock.box_len) / (gal_count).sum() * power_weights_renorm(wf_gal, wf_gal) * wf_gal.mean()**2\n", "shot_noise = get_shot_noise_galaxy(\n", " gal_count, mock.box_len, \n", " mock.weights_grid_2,\n", " mock.weights_field_2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualise it in 1D:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "power_1d_mock,keff,nmodes = mock.get_1d_power(power_mock)\n", "\n", "power_1d_model_weights,_,_ = mock.get_1d_power(mock.auto_power_tracer_2_model)\n", "\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,4))\n", "ax = plt.gca()\n", "ax.plot(keff,(power_1d_mock)-shot_noise,label='Mock',ls='-',lw=3)\n", "ax.plot(keff,power_1d_model_weights,label='Model (weights convolved)',ls=':',lw=3)\n", "\n", "ax.set_xlabel(r'$k$')\n", "ax.set_ylabel(r'$P(k)$')\n", "ax.set_yscale('log')\n", "ax.legend()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or you can visualise the power spectrum in 2D:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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crgIlJiam0s4ZAJyEOAoAgZ0S2E4Jd457BjZs2CCPPPKIbNmyRdasWSPZ2dlyww03SEZGRonHxcXFybFjx/LK999/X2nnDABOQhwFAAQbx3XfWr169UWf3qlP+nbs2CE9e/Ys9jj1qV58fHwlnCEAOBtxFAACw2e5dLFzXLhzXEtJYenp6frf2rVrl7jf2bNnpVGjRtKwYUMZMGCA7Nu3r8T9MzMz5fTp0wUKAIQi4igAVA6fza5bPuf/SV7hHP0M+Hw+GTVqlFx11VXSpk2bYvdr3ry5LFy4UN577z1ZvHixPi4pKUmOHj1aYp/rGjVq5BV1EwaAUEMcBYDK47Pctku4c1mWyamBzHr44Yflww8/lM8++0waNGhQ5uNU/+mWLVvKoEGDZMKECcV+wqdKLvUJn7qhJl/6oES4o/w78djq4kgmZ9/K8TpvRimXwTc0s29V/jk5efatmGi/q8jxZcon376sWy3U2I2QjqMNH5YIt//PGZCH2beQP5b+MLfSY2lpVPxTH85M2HqdxFQv/+iIC2dz5L+6feq46wrrMSW5Hn30UXn//fdl48aN5bqRKpGRkdKxY0c5ePBgsftER0frAgChijgKAJXLbquHj5YS53XfUg036ka6YsUK+fTTT6VJkyblrsPr9cqePXukXr16FXKOAOBkxFEAQLBxXEuJmsZyyZIlul+zmmM/LS1Nb1dNYlWqVNFfDx48WBISEnR/ZmX8+PHSo0cPadq0qZw6dUomT56sp7IcPnx4QK8FAAKBOAoAgaE6t3ttrM7urZCzCS6OS0rmzJmj/+3du3eB7a+//roMHTpUf3348GFx51tR/Ndff5URI0boG2+tWrWkc+fOsmnTJmnVqlUlnz0ABB5xFAACg+5bIZSUlGXc/fr16ws8nj59ui4AAOIoAASK13LrYue4cOe4pAQAAAAIRpa4xGej+5Zl45hQQ1oGAAAAGGwpsVPsmjhxorhcLr0mVUmWLVsmLVq0kJiYGGnbtq2sWrVKnISkBAAAAAhC27Ztk3nz5km7du1K3E+NEVTrTg0bNkx27dolKSkpuuzdu1ecgu5bhUVGirgj/asjM8vU2Yi4XM5cxM9jMJ/NMrRQYZSfv7eKet5NPlcmFz104utKvf+cWJcJ9BcG7HPTtQW5nP1a8FkuXewcV15nz56Ve++9VxYsWCAvvPBCifvOnDlTbrzxRnnyySf1Y7Uo7po1a2TWrFkyd+5ccQLukgAAAIABXnHbLrkrw+cvmZmZUtL07/369ZPk5GQpzebNmy/ar2/fvnq7U5CUAAAAAAZbSuwUpWHDhnpNqdySu5ZUYUuXLpWdO3cW+/3C1HTvdevWLbBNPc5dx8oJ6L4FAAAAGOATty52jlOOHDkicXFxkis6OloKU/uMHDlSd79Sg9ZDBUkJAAAAYIDXculi5zhFJST5k5Ki7NixQ06cOCGdOnXK2+b1emXjxo16jIjq8uXxeAocEx8fL8ePHy+wTT1W252C7lsAAABAkLj++utlz549snv37rzSpUsXPehdfV04IVESExNl7dq1Bbaplha13SloKQEAAACCZPat2NhYadOmTYFt1apVk0suuSRv++DBgyUhISFvzInq7tWrVy+ZOnWqHhyvxqRs375d5s+fL05BSwkAAABggGW5xWejWIanjT98+LAcO3Ys73FSUpIsWbJEJyHt27eXd955R1auXHlRchNItJQAAAAABnjFpYud4/yxfv36Eh8rd955py5ORVICAAAAGOCz7C2E6DO4DnGwovsWAAAAgICipQQAAAAwIHeMiJ3jwh1JCQAAAGCAT1y62Dku3JGUAAAAAA5YPDGckZQAAAAABtB9yz6SksKys0Xcfmar1aqZOhsRj8EXaWaWubq8PnN1RUWaqaeIFUwdUZcTp9RwG7w+f98vFfW6MsnI+9CBr4OK4nL9VgDANIfHFt19y87sW+Ls66oMpGUAAAAAAoqWEgAAAMAAy+ZAd4uWEpISAAAAwATVdcve4okuCXckJQAAAIABDHS3j6QEAAAAMICWEvtISgAAAAADWDzRPtqKAAAAAAQULSUAAACAAXTfso+kBAAAADCApMQ+khIAAADAAJIS+0hKAAAAAANISuwjKQEAAAAMsGzOpGVVyNkEF2bfAgAAABBQtJQAAAAABtB9yz6SEgAAAMAAkhL7SEoKc7t/K/7IyTF1NiLuSHN1RRj8dfu85upyGepF6PGIMdkGf4ceg70kLZ+ZetwGg5/PoT1hTV5jZpb/dfgM1BEs1Hva1PsaAPJzeGwhKbGPpAQAAAAwgKTEPpISAAAAwADLculi57hw5+w2MAAAAAAhj5YSAAAAwAC1RomddUp8No4JNSQlAAAAgAGMKQmh7lupqanStWtXiY2NlTp16khKSoocOHCg1OOWLVsmLVq0kJiYGGnbtq2sWrWqUs4XAJyGOAoAgR1TYqeEO8clJRs2bJBHHnlEtmzZImvWrJHs7Gy54YYbJCMjo9hjNm3aJIMGDZJhw4bJrl279A1Ylb1791bquQOAExBHASCwLSV2SrhzWZbl0EUGfvPTTz/pT/rUTbZnz55F7jNw4EB9s33//ffztvXo0UM6dOggc+fOLdPPOX36tNSoUUOS6wyXCHeUfycdaXBtkahIZ64nYXKdEreh9UUiI0J/nRJTa+CYXNMlHNYpycr2u4ocX6Z88sNcSU9Pl7i4OAnpONroUYlwRxs7fwAoEEu/nxWQWFqW+Nf53cclolr5419ORqbsuH26464rrFtKClO/HKV27drF7rN582ZJTk4usK1v3756e3EyMzP1Cyh/AYBQRBwFADido5MSn88no0aNkquuukratGlT7H5paWlSt27dAtvUY7W9pD7XKqPNLQ0bNjR67gDgBMRRAKg8ls2uWxbdt5ydlKg+0ao/89KlS43XPWbMGP3pYW45cuSI8Z8BAIFGHAWAyqM6NKuBEeUuAsdOCfzoo4/qvs0bN26UBg0alLhvfHy8HD9+vMA29VhtL050dLQuABCqiKMAULnUeiPqPzvHhTvHtZSocffqRrpixQr59NNPpUmTJqUek5iYKGvXri2wTc04o7YDQLghjgJAYDAlcAi1lKiuBkuWLJH33ntPz7Gf259Z9VeuUqWK/nrw4MGSkJCg+zMrI0eOlF69esnUqVOlX79+upvC9u3bZf78+QG9FgAIBOIoAASGGh/iYvHE0EhK5syZo//t3bt3ge2vv/66DB06VH99+PBhcbv/3ciTlJSkb8Bjx46VZ555Rpo1ayYrV64scVBnsXI79/kjwuDTmu86/eayQna6VePnZHIaX5OzbpuaytfU1MKKy+Dz7jL4vGdmmasr2s9pwhWfT8Imjqr3j8nYheDk7BUHELT44z1UOS4pKcuyKevXr79o25133qkLAIQ74igABIbdz7YtcnjnJSUAAABAMLI7PsSi+xZJCQAAAGACSYl9JCUAAACAAQx0t4+kBAAAADCAMSX2MT0KAAAAgICipQQAAAAw1lJiZ0yJhD2SEgAAAMAABrrbR1ICAAAAGKAaPOw0elgVcC7BhqQEAAAAMICWEvtISgAAAAATaCqxjdm3AAAAAAQULSUAAACACTa7bwndt0hKAAAAABNYPNE+khIAAADAgHAY6J6dnS1paWly7tw5ueyyy6R27dpG6iUpKaxmnIgn2r86crymzkYkK8tcXVVizNVl8hpj/Hy+c7kMvqFNfmThNjh06/wFM/VER4kjnyufwboiI83V5TXwevcZfM84nsvs+xHBiddAYIT6R+5Of12p5KISum/NmTNHl++++04/bt26tYwbN05uuummIvdftGiRPPDAAwW2RUdHy4ULZfu74syZM7J48WJZunSpbN26VbKyssSyLHG5XNKgQQO54YYb5A9/+IN07dpV7CIpAQAAAIKo+1aDBg1k4sSJ0qxZM50cvPHGGzJgwADZtWuXTlCKEhcXJwcOHMh7rBKKspg2bZq8+OKLcsUVV0j//v3lmWeekfr160uVKlXkl19+kb1798o///lPnZh0795dXn75ZX1e5UVSAgAAAASR/v37F3iskgbVcrJly5ZikxKVhMTHx5f7Z23btk02btxYbL3dunWTBx98UObOnSuvv/66TlBISgAAAIAwWqfE6/XKsmXLJCMjQxITE4vd7+zZs9KoUSPx+XzSqVMneemll4pNNPJ766238r4+ceKE1KlTp8j9VHewP/7xjzavgnVKAAAAAKMD3e0U5fTp0wVKZmamFGfPnj1SvXr1vGRgxYoV0qpVqyL3bd68uSxcuFDee+89PTZEJSZJSUly9OhRKY877rhDJ0FFycnJEX+QlAAAAACmW0vKU/5Pw4YNpUaNGnklNTVViqMSjd27d8vnn38uDz/8sAwZMkS+/PLLIvdVLSiDBw+WDh06SK9evWT58uV65qx58+ZJedSsWVMee+yxi7b//PPPkpycLP6g+xYAAADggCmBjxw5ogek51KtIMWJioqSpk2b6q87d+6sx37MnDmzTIlGZGSkdOzYUQ4ePFiu8/z73/+ux5CoVhc1jkTZv3+/3HLLLdKiRQvxB0kJAAAA4IAxJXFxcQWSkvJQXbJK6u6Vn+qCpbp/3XzzzeVuKXn33Xeld+/e0qZNG/n1119l4MCBMmzYMJk8ebL4g6QEAAAACCJjxozRa5Jcfvnleg2RJUuWyPr16+Wjjz7S31ddtRISEvK6f40fP1569OihW1ZOnTqlE4jvv/9ehg8fXurPuu2223S3r9zStm1bmTVrlk5o1Donagrgwmug2EFSAgAAABihumHZWeDRVa691SxYKvE4duyYHnvSrl07nZD06dNHf//w4cPizrd4s2rRGDFihF6JvVatWrq716ZNm4odGJ+fWp9ETfOrEpGTJ0/q49u3b6/XR7nnnnv0TF5qlXfVJcwfJCUAAABAEE0J/Nprr5X4fdVqkt/06dN1sSN/t6wffvhBD65X5ZJLLpF169bpc4mIiNBjSr744guxi6QEAAAACNJ1SiqT6hKmSr9+/Qqsf6KSFH8SEoWkBAAAADBBzaJlY/YtsXOMQ6i1Uq6++mpd/ME6JQAAAIABlmW/OJUan1IeqouXHSQlAAAAAIrUtWtXeeihh/Q6KMVJT0+XBQsW6GmC1ZTBdtB9qzCfJeLyL121qha/0E35K4syV5fLXNOgSz1Ppni9ZurJN8uE3zwOzderVzVTj1M/kjH5uvL5zNV19rz/dfiyJGxEeEQ8HglJTn3vILiZjH0G7/WOZDn0/hzCY0q+/PJLefHFF/XMXjExMXrmrvr16+uv1axe6vv79u3Ts3BNmjSp3Guf5HL4bxYAAAAIErljSuwUh1KzbE2bNk1PPzx79mxp1qyZnhr466+/1t+/9957ZceOHbJ582bbCYlCSwkAAABggMtmhxuXg1tK8q+NEhUVpdcm6datm/H6SUoAAAAAE0Kw+5by1ltvydChQ/UiiS6XSzp27CgffvihXHbZZWIK3bcAAAAAE0Kw+5by/PPP6xaSr776Sj7++GO97emnnxaTaCkBAAAAUKxDhw7J6tWrpXHjxnLllVfK4sWL9YD30laWLw9aSgAAAACT3bfsFAfLycmRqlX/PQNoixYtxOfzSVpamrGfQVICAAAAmBCiSYnyxhtvyKZNm+Ts2bP6cUREhJw7d05MofsWAAAAYEKIDnS/5ppr5IUXXpAzZ86I2+2WJk2ayIULF3T3reTkZOnSpYvExsb69TNISgAAAAAT7A5at5w90H3Dhg36X7U2iVqTZOfOnbrMmTNHUlNTdaKi1i/Zv39/YJKSv/3tb3rxlNKMHz/enx8DACGLOAoACBYq8VDl7rvvztv27bffyvbt22XXrl1+1e1XUqIWTjHZl0zZuHGjTJ48WWdhauXIFStWSEpKSrH7r1+/Xq699tqLtqtj4+PjjZ4bAJhWEXFUIZYCQOUL5cUTi6O6cqly5513SsCSEtVkc/jw4RL3UQusXHfddWWuMyMjQ9q3by8PPvig3HbbbWU+7sCBAxIXF5f3uE6dOmU+FgACpSLiqEIsBYAACNExJZUhwt9R+KbddNNNupSXunHWrFnT+PkAQEWqiDiqEEsBACGflJw4ccJxn5516NBBMjMzpU2bNvLcc8/JVVddFehTAoCgiqMKsRQA7FPD1W1135Lg8+uvv+rV3X/44Qf9uH79+tK3b1+pVatW5SUld9xxh6xbt048Hk+Ri6uoeYsrS7169WTu3Ll6KjJ1I3311Veld+/e8vnnn0unTp2KPU7tq0qu06dP63+tKlFieaL8O6lsr5jissy151kugy95t7m6rOhoI/W4zv379+k3j7klfCy325GvB2Oyc8zVVURMsc3k671KFf/r8LkdG0ftxtJi42iEWyyD7yFHceJ7EOXjE+dx6NvFkfccpz5ZIT77VmFqKmA1bvHmm2/WyYii7hfPP/+8PPHEEzJs2DApL1t3PdW0/9hjj8ns2bMLbP/555/l9ttv1wMmK0vz5s11yZWUlCTffPONTJ8+Xd58881ij1PTl6knDgACwUlx1G4sJY4CQHiaNGmSnhK4WrVqBbZPmDBBf5BlJymxlW7+/e9/lzVr1sjChQvztql5idUsMoVPLhDUeRw8eLDEfcaMGSPp6el55ciRI5V2fgDg9DhallhKHAWA8FnRvfAELGohxcLUNvU9O2y3lLz77ru6aV/1O1Z9ygYOHKizItWUE2i7d+/WXRFKEh0drQsABILT42hZYilxFADCc/atKVOmSK9evfT9KyEhQW87evSo7Nu3T6ZOnVqxSYmaUlINgMwtbdu2lVmzZum+ZGqZ+ZdfflkeeOAB8dfZs2cLfDKnFmRRN8batWvL5Zdfrj+ZUwNq1KeMyowZM/TcyK1bt9bnofpBf/rpp3rgDQA4zV//+lfp3r17hcZRhVgKAJUvXNYpueWWW/QMj1u3bpUff/xRb1NjS1QLe1FjJY0mJVdccYX885//1DdQtfqwGlmv5sC3LEvuuece3X8sOztbIiMjxR9qRcj8C3iNHj1a/ztkyBBZtGiRXsgr/5z+WVlZ8qc//UnfXKtWrSrt2rWTTz75pMhFwAAg0DZt2iQLFiyo0DiqEEsBIADCpKVEUclHYmKiFKYGvKsP38rLZam7YTmpm5b6xC1/OXTokJ4tpkWLFvLFF19IsFGzxtSoUUOub/OURHj87I4QBrNvuXzmpi+xIj3Om30rMiK0Z98yOaOKU2ffMnmNOf6/p3N8mfLJ97P02Au1OGFIx9FWT/gfR53KkbMRIehn33IoJ86+lePNlE/+NS0vljot/jWe8KK4Y2LKfbzvwgX57r/+4rjrskO1xpe2KHBRbP3lpfqOqdKvX78CXQXUTTUYb6QAUNmIowCAYHXXXXcVuV21dfzyyy+26jT2cXD16tXl6quv1gUAUH7EUQAIbuEypuSTTz7R08Wr+1bhpGTjxo226qzc1bkAAACAUBUmiyf27t1bYmNjpWfPnhd9T41JtIOkBAAAADAhTAa6L1++vNjvqTW47CApAQAAAAwIl+5bFYGkBAAAADAhxFtKRv/f9PKFqVXcY2JipGnTpjJgwAC9JlZ5kZQAAAAAKNWuXbtk586d4vV6pXnz5nrbv/71L71miZrO/pVXXtFrXn322WfSqlUrKQ9zCygAAAAA4ez/um+Vt0iQtJSoVpDk5GS9ivuOHTt0OXr0qPTp00cGDRqk1+BSg98ff/zxctdNUgIAAACYYPlRgsDkyZNlwoQJBRZ4VItGPvfcczJp0iSpWrWqjBs3Ticr5UX3rSJWPfd35XO3yVXYowz+igyuwu6LiTJWlyvb/9WyFat6FXEkk68HcSCDK9Yb/ZjE5HkZYHmddT4VyYr0iOXxSEhiNfCgXg1cM/nSdOo1GqLWnHAay+XwWBriY0rS09PlxIkTF3XN+umnn/Sq9krNmjUlKyur3HU7/DcLAAAABAc7XbfsztgVqO5bDz74oKxYsUJ321JFfT1s2DBJSUnR+2zdulWuvPLKctdNSwkAAACAUs2bN0+PF7n77rslJydHb4uIiJAhQ4bI9OnT9WM14P3VV1+V8iIpAQAAAFCq6tWry4IFC3QCcujQIb3td7/7nd6eq0OHDmIHSQkAAABgQoiPKcmlkpB27dqJSSQlAAAAgAHhsKL7qVOn5LXXXpP9+/frx2rQuxpTombh8gcD3QEAAABTQnQ6YGX79u1yxRVX6O5bv/zyiy7qa7VNLaroD1pKAAAAABNCvPvW448/LrfeeqseV6IGuCtqwPvw4cNl1KhRsnHjRtt1k5QAAAAABoR6963t27cXSEgU9fVTTz0lXbp08atuum8BAAAAKJVayf3w4cMXbT9y5IjExsaKP0hKAAAAgECNJwmicSUDBw7Ug9rffvttnYiosnTpUt19a9CgQX7VTfctAAAAwIBQ7741ZcoUcblcMnjwYD2WxLIsiYqKkocfflgmTpzoV90kJQAAAIAJIT7QPSoqSmbOnCmpqanyzTff6G1q5q2qVav6XTdJCQAAAGBCCCYlo0ePLvO+06ZNs/1zSEoAAAAAA0Kx+9auXbvKtJ/q1uUPkpJCXFk54vJ4/KrDVy3a2PlYfv6CC9QVYW5eA3dWjrG6rOhIcRzLwdHBaddn8HVlkuuCuddoziX+N0vnmDsdx7MiPWLlmy4y4EL9/WySz1xVJp91l1N/h048Lyeek8HXliX+/Y2G8lu3bp1UBgfdNQAAAIAgFoLdtyoLSQkAAABgAkmJbc7sdwEAAAAE6ZgSO6U85syZI+3atdOLGaqSmJgoH374YYnHLFu2TFq0aCExMTHStm1bWbVqlTgJSQkAAAAQRIsnNmjQQK8LsmPHDtm+fbtcd911MmDAANm3b1+R+2/atEkvbqgWPlQD11NSUnTZu3evOAVJCQAAABBELSX9+/eXm2++WZo1ayZXXnmlvPjii1K9enXZsmVLkfurtUVuvPFGefLJJ6Vly5YyYcIE6dSpk8yaNUucgqQEAAAACFJer1eWLl0qGRkZuhtXUTZv3izJyckFtvXt21dvdwoGugMAAAAOGOh++vTpApujo6N1KcqePXt0EnLhwgXdSrJixQpp1apVkfumpaVJ3bp1C2xTj9V2p6ClBAAAAHDAmJKGDRtKjRo18kpqamqxP6p58+aye/du+fzzz+Xhhx+WIUOGyJdffinBipYSAAAAwAC15LWdZa9d//fvkSNH9GxauYprJVGioqKkadOm+uvOnTvLtm3b9NiRefPmXbRvfHy8HD9+vMA29VhtdwpaSgAAAAAHtJTE/d8Uv7mlpKSkMJ/PJ5mZmUV+T3XzWrt2bYFta9asKXYMSiDQUgIAAAAYYGcmrdzjymPMmDFy0003yeWXXy5nzpyRJUuWyPr16+Wjjz7S3x88eLAkJCTkdf8aOXKk9OrVS6ZOnSr9+vXTA+PVVMLz588XpyApAQAAAILIiRMndOJx7NgxPfZELaSoEpI+ffro7x8+fFjc7n93iEpKStKJy9ixY+WZZ57RUwmvXLlS2rRpI05BUgIAAAA4YPatsnrttddK/L5qNSnszjvv1MWpSEoAAAAAU+wkJSApAQAAAIJpTEkoclxSsnHjRpk8ebLs2LFD95NTC8GkpKSU2kQ1evRo2bdvn57fWfWXGzp0qK2ff6FBrERExIg/on4peuYDO3wxHmN1ubO8xuryRTvupSO+KHPPledCjrG6LLedyQGLq8xMNS6fT4wxWJXLMheVrapRxuqKSL/gfyVec3HB6bHUGxMhrgjnxQgjDL5GncjoH0YOfa5cPgdeo+XMOOrE36GV4/CJYyup+1YoctxvNiMjQ9q3by+zZ88u0/7ffvutnkXg2muv1QvIjBo1SoYPH543+wAAhCNiKQAErqXETgl3jvsoS01vpkpZzZ07V5o0aaKnOFNatmwpn332mUyfPl369u1bgWcKAM5FLAUABBPHtZSU1+bNmyU5ObnANnUDVdsBAGVDLAWAwC+eGM4c11JSXmlpaVK3bt0C29Tj06dPy/nz56VKlSpFHqdWvMy/6qXaHwDClZ1YShwFgIIY6B7GLSV2qRUu1WIzuUUN6gQAlB1xFAAKoaUkfJOS+Ph4OX78eIFt6nFcXFyxrSTKmDFjJD09Pa8cOXKkEs4WAEInlhJHAaAQkpLw7b6VmJgoq1atKrBtzZo1entJoqOjdQEA2IulxFEAKIjuWyHUUnL27Fk9HaUqudNUqq8PHz6c98nc4MGD8/b/4x//KIcOHZKnnnpKvvrqK3nllVfkH//4hzz++OMBuwYACDRiKQAgmDguKdm+fbt07NhRF0Ut5KW+HjdunH6sFgHLvakqagrLDz74QH+ip+bkV9NZvvrqq0xhCSCsEUsBIADovhU63bd69+4tVgkriC5atKjIY3bt2lXBZwYAwYNYCgCVz2VZutg5Ltw5LikBAAAAgpLdVg+rAs4lyJCUAAAAAAYw0N0+khIAAADABFpKQmegOwAAAIDwQkuJoWa3/Kwoj6nTEV+kubq8MeZ+3U4ckGW5XM58a5h8rgxdo8tn7vMIl9fc9XkjDZ6Xz9x5eXw+v+uwXOHzGVBOtQiRyBC9vRh8XRll6LSMdiExGPtMnpfJ2CD+hwbz91SD1+fE14PPbe7voopA9y37QvSuAQAAAFQyum/ZRlICAAAAGEBLiX0kJQAAAIAJtJTYRlICAAAAGEKrhz3hM/ISAAAAgCPRUgIAAACYmmXMzkxjFs0rJCUAAACAAQx0t4+kBAAAADCBge62kZQAAAAABrh8vxU7x4U7BroDAAAACChaSgAAAAAT6L5lG0kJAAAAYAAD3e0jKQEAAABMYEpg20hKAAAAAANoKbGPpKSQzBoR4o3072nJijP3tLqzzU3HYPQFb7AuV46ZyqxIl5jiM1iXSabOy5Pp0Ohn8JMizwWvsbq81aL8ryMnfKZWyazhEW+kR0LxdeXYOOp13vW5fAafd1+In5fXCu3r068tM+fl8zgothSFMSW2MfsWAAAAgICipQQAAAAwgO5b9pGUAAAAACYw0N02khIAAADAAFpK7CMpAQAAAExgoLttJCUAAACAAbSU2MfsWwAAAAACipYSAAAAwAS1ToydtWJ8NJWQlAAAAAAmMKbENpISAAAAwACXzfEhroo4mSBDUgIAAACYwDoltpGUAAAAAAYw+5Z9zL4FAAAAIKBoKQEAAABMYKC7bSQlAAAAgAEuy9LFznHhjqSkkHN13OKJ8q9XmyfT2OmIy2euh50vylhV4soxV5fba+aNaLnMzV3hyTIXHDzZzgs0lsfcOblzzNVlud2Oe10pEaf8f1NbXoNvGoc7f4lLPNH+vx+N9bG2zMUGl09Cui6X10w9v9VlMs4Yq0rcDrxGk9dn9Hk3WJfL0L3C63L4yAP1XrTzfvRVwLkEGZISAAAAwABaSuwjKQEAAABMYEyJbQ5vAwMAAAAQ6mgpAQAAAExg8UTbaCkBAAAADC6eaKeUVWpqqnTt2lViY2OlTp06kpKSIgcOHCjxmEWLFonL5SpQYmJixEkcm5TMnj1bGjdurJ+w7t27y9atW4P6iQaAykYcBYAAtZTYKWW0YcMGeeSRR2TLli2yZs0ayc7OlhtuuEEyMjJKPC4uLk6OHTuWV77//ntxEkd233r77bdl9OjRMnfuXH0jnTFjhvTt21dngSojLO6Jzp8lqhsqAIQr4igAVD41PbedKbpd5Thm9erVF32opOL6jh07pGfPnsX/DJdL4uPjxakc2VIybdo0GTFihDzwwAPSqlUrfVOtWrWqLFy4sNQnOrfUrVu3Us8ZAJyEOAoAodlSUlh6err+t3bt2lKSs2fPSqNGjaRhw4YyYMAA2bdvnziJ45KSrKwsneklJyfnbXO73frx5s2bjT3RmZmZcvr06QIFAEIBcRQAgtPpQjFVxdmS+Hw+GTVqlFx11VXSpk2bYvdr3ry5/lDqvffek8WLF+vjkpKS5OjRo+IUjktKTp48KV6v96JP6NTjtLQ0Y0+0GiRUo0aNvKJuwgAQCoijABDgdUrsFBEdR/PHVRVnS6LGluzdu1eWLl1a4n6JiYkyePBg6dChg/Tq1UuWL18ul112mcybN0+cwpFjSspLPdGq5FI30pYtW+onesKECUUeM2bMGN3fOpfKRrmhAghXxFEACPyK7keOHNHj+3JFR0cXe8yjjz4q77//vmzcuFEaNGhQrp8XGRkpHTt2lIMHD4pTOC4pufTSS8Xj8cjx48cLbFePyzo4pyxPtPoll/SLBoBgRRwFgOBcpyQuLq5AUlL0rpb853/+p6xYsULWr18vTZo0KfePU63pe/bskZtvvlmcwnHdt6KioqRz586ydu3avG2qG4F6nP9TvLI80fXq1avAMwUAZyKOAkCAqNzCZ6NYZf8RqsuW6ma7ZMkSvVaJ6paryvnz5/P2UV21VGt2rvHjx8vHH38shw4dkp07d8p9992npwQePny4OIXjWkoU1R1gyJAh0qVLF+nWrZueylLNvaxmkcl9ohMSEvL62aknukePHtK0aVM5deqUTJ482XFPNABUJuIoAARf962ymDNnjv63d+/eBba//vrrMnToUP314cOH9QQnuX799Vc9I6NKXmrVqqU/uNq0aZOendEpHJmUDBw4UH766ScZN26cfvLUoBw1J3PuoM2KfKKz4kQ8fvZG8Bpcb8ydZa6u8qwWWmpdNubgLo4708xaCC6vGOPOcTmyrojzZn6JPo+5c3L5zL2wIi6Yqyu7msdYXeLzv4tSTo7BN6DD4+i5Bpa4Ywxcr6E44/KZfD8bq0pcButyZzurHl1XljOfd092aD/vJq/PyjZ4r/CYiYHefHErXFllSGBUt678pk+frouTuayyXFkYUAM01SwHzZ58STzR/mUVJCXl4y55trsAJSXOrMtUUmL0DyuHJiUur7m6Is/4/+LKybkg/9z4vJ5PvrT+wsEeRxu/+KK4TawGT1IS1H8cm7x/OTcpsRyYlJiLfSbPy1RMzsm+IJ+//1+Oi6W58e+6Dk9LhI1Pt3O8mfLp7omOuy4J95YSAAAAINwGuoczkhIAAADABNXCa6dx1lcB5xJkSEoAAACAIBnoHqpISgAAAAAT6L5lG1MYAAAAAAgoWkoAAAAAE2gpsY2kBAAAADCBpMQ2khIAAADABGbfso2kBAAAADCA2bfsIykBAAAATKD7lm3MvgUAAAAgoGgpAQAAAEzwWaovlr3jwhxJCQAAAGAC3bdsIykBAAAAjLCZlAhJCUlJIbWSjktEtWi/6jh5ppqx87mQEWWsLivTY6wuV46d+e6K5skwM7Qp4py5c4o4Z6wq8VwwV5e4zFyjO9tINcbrchmcEjHmF6+xuiyP/8+7ZZl7fTpdreY/i6eqf3FUyfKaiVkXsiLFlKzz5urynTd3C/acMxNH3efNDTWNOO/MOGplmqvLYygmm/yD1GUy1hj89N5tqCrL6aOhaSmxjaQEAAAAMEGPDWFMiR1OzzcBAAAAhDhaSgAAAAATLN9vxc5xYY6kBAAAADCBMSW2kZQAAAAAJjCmxDaSEgAAAMAEWkpsIykBAAAATNANJXaSEgl7zL4FAAAAIKBoKQEAAABMoPuWbSQlAAAAgAk+NbWvz+Zx4Y2kBAAAADCBlhLbSEoAAAAAE0hKbCMpAQAAAExgnRLbmH0LAAAAQEDRUlLIR63/n8TFevyqY0tmjrHz+fvJq4zV9c2ZS43VdSjtMmN1eT2RZiqy/Pu95efKcRmry51trCqxzJ2WOS5n1uXzmKss4oLX7zrcOeEziHFlm6USF+v/Z14fnYs3cj7r0luIKXt/rWesruO/xhmrK0uizVTkNfe+8WUbjKMeZ8ZRy9BHu5bL3ElZLsuh8d1QZQafq4pgWT5d7BwX7khKAAAAABPU2BA7XbEsum+RlAAAAAAm6OSCpMQOkhIAAADABLXeiMtGVyyL7lskJQAAAIAJtJTYxuxbAAAAAAKKlhIAAADAAMvnE8tG9y2L7lskJQAAAIARdN+yjaQEAAAAMEFNB2xnrRiLpISkBAAAADBBJxd2Zt+yJNwx0B0AAABAQDk2KZk9e7Y0btxYYmJipHv37rJ169YS91+2bJm0aNFC79+2bVtZtWpVpZ0rADgRcRQAKpfls2yXcOfIpOTtt9+W0aNHy7PPPis7d+6U9u3bS9++feXEiRNF7r9p0yYZNGiQDBs2THbt2iUpKSm67N27t9LPHQCcgDgKAAGgZtGyW8KcI5OSadOmyYgRI+SBBx6QVq1aydy5c6Vq1aqycOHCIvefOXOm3HjjjfLkk09Ky5YtZcKECdKpUyeZNWtWpZ87ADgBcRQAKh8tJSE00D0rK0t27NghY8aMydvmdrslOTlZNm/eXOQxarv6RDA/9YngypUri/05mZmZuuRKT0/X/54+63+mmpFpLtvNOptlrK6cjH9fr7985y6Yq+u810g9rgseMcWb6TJWl9vc0y5i6uVg7mUlVo7BQJptri53tpnXlZbjf105Ob+9EKxKGMwY6Dh6xkAcVc6dM/M7DI84ajkvjl4wF0ddJuOoybqynReTJctyZHx3G3quvNkXKi2W2pFjZdpq9cgx9mIKXo5LSk6ePCler1fq1q1bYLt6/NVXXxV5TFpaWpH7q+3FSU1Nleeff/6i7Y06fSfO8n2gTwCAQWfOnJEaNWqEdBxt06X4Y8rnR0P17DJUD4BwiqXlERUVJfHx8fJZmv2xePHx8bqecOW4pKSyqE8Q838qeOrUKWnUqJEcPnzYUS9yU06fPi0NGzaUI0eOSFxcnISiUL/GUL++UL9G9ameuonWr19fQgVxNPRwjcEv1K/PqbFUTRDy7bff6pZqu6KionQ94cpxScmll14qHo9Hjh8/XmC7eqwyyKKo7eXZX4mOjtalMHUjDcU3cS51baF8feFwjaF+faF8jZX1hzpxtGKF6uszP64x+IXy9Tn1Qw+VUIRzUhFyA91Vlti5c2dZu3Zt3jafz6cfJyYmFnmM2p5/f2XNmjXF7g8AoYw4CgAINo5rKVFUd4AhQ4ZIly5dpFu3bjJjxgzJyMjQs8gogwcPloSEBN2fWRk5cqT06tVLpk6dKv369ZOlS5fK9u3bZf78+QG+EgAIDOIoACCYODIpGThwoPz0008ybtw4PciyQ4cOsnr16rxBmKq/sppJJldSUpIsWbJExo4dK88884w0a9ZMzxjTpk2bMv9M1QVBzedfVFeEUBDq1xcO1xjq1xcu11hZiKPmhfr1KVxj8Av160PocllOnVMNAAAAQFhw3JgSAAAAAOGFpAQAAABAQJGUAAAAAAgokhIAAAAAARVWScns2bOlcePGemGb7t27y9atW0vcf9myZdKiRQu9f9u2bWXVqlUSKte3b98+uf322/X+LpdLTxcaDMpzjQsWLJBrrrlGatWqpUtycnKpv/Ngur7ly5fr6V5r1qwp1apV07MrvfnmmxJq78Ncaopa9VpNSUmp8HNE8Yij/0Ycda5Qj6XEUYQkK0wsXbrUioqKshYuXGjt27fPGjFihFWzZk3r+PHjRe7/P//zP5bH47EmTZpkffnll9bYsWOtyMhIa8+ePVYoXN/WrVutJ554wnrrrbes+Ph4a/r06ZbTlfca77nnHmv27NnWrl27rP3791tDhw61atSoYR09etQKhetbt26dtXz5cv36PHjwoDVjxgz9ml29erXlVOW9xlzffvutlZCQYF1zzTXWgAEDKu18URBxtCDiqDOFeiwljiJUhU1S0q1bN+uRRx7Je+z1eq369etbqampRe5/1113Wf369SuwrXv37tZDDz1khcL15deoUaOguJn6c41KTk6OFRsba73xxhtWKF6f0rFjR/2Hn1PZuUb1e0tKSrJeffVVa8iQIdxMA4g4WjziqHOEeiwljiJUhUX3raysLNmxY4duds6lFg1Tjzdv3lzkMWp7/v2Vvn37Frt/sF1fsDFxjefOnZPs7GypXbu2hNr1qQ8Y1q5dKwcOHJCePXuKE9m9xvHjx0udOnVk2LBhlXSmKApxNPiFehwNh1hKHEUoc+SK7qadPHlSvF5v3krGudTjr776qshj1ArIRe2vtofC9QUbE9f45z//WerXr3/RH0nBfH3p6emSkJAgmZmZ4vF45JVXXpE+ffqIE9m5xs8++0xee+012b17dyWdJYpDHA1+oR5HwyGWEkcRysIiKQEmTpyoB/itX79eDwwMFbGxsfpGc/bsWf3p3ujRo+V3v/ud9O7dW4LdmTNn5P7779cDbS+99NJAnw4Q9kI1joZyLCWOIpiERVKi3ojqk4/jx48X2K4ex8fHF3mM2l6e/YPt+oKNP9c4ZcoUfTP95JNPpF27dhJK16ea7Zs2baq/VjPG7N+/X1JTUx15Iy3vNX7zzTfy3XffSf/+/fO2+Xw+/W9ERITuXnHFFVdUwplDIY4Gv1CPo+EQS4mjCGVhMaYkKipKOnfurD/9yP+mVI8TExOLPEZtz7+/smbNmmL3D7brCzZ2r3HSpEkyYcIEWb16tZ7y0alM/Q7VMar7QShco5pGds+ePfrTy9xy6623yrXXXqu/btiwYSVfQXgjjga/UI+j4RBLiaMIaVaYUFPoRUdHW4sWLdLT/v3hD3/QU+ilpaXp799///3W008/XWAqy4iICGvKlCl6GsRnn33W8VNZluf6MjMz9RSPqtSrV09Pa6m+/vrrry2nKu81Tpw4UU+b+M4771jHjh3LK2fOnLFC4fpeeukl6+OPP7a++eYbvb96rarX7IIFCyynKu81FsasMYFFHCWOOj2OhkMsJY4iVIVNUqK8/PLL1uWXX64DrJpSb8uWLXnf69Wrl36j5vePf/zDuvLKK/X+rVu3tj744AMrVK5PzVeuctLCRe0XKteopugs6hrVH0ahcH1/+ctfrKZNm1oxMTFWrVq1rMTERH2zCrX3YX7cTAOPOEocdXocDYdYShxFKHKp/wW6tQYAAABA+AqLMSUAAAAAnIukBAAAAEBAkZQAAAAACCiSEgAAAAABRVICAAAAIKBISgAAAAAEFEkJAAAAgIAiKQEAAAAQUCQlAAAAAAKKpAQoxRNPPCEpKSmBPg0ACGrEUgAlISkBSrF7927p0KFDoE8DAIIasRRASUhKgFJ88cUX3EgBwE/EUgAlISkBSnD06FE5efJk3o301KlT0r9/f7n66qslLS0t0KcHAEGBWAqgNCQlQCndDWrWrCmNGzeWPXv2SNeuXSUhIUHWrVsn8fHxgT49AAgKxFIApSEpAUq5kbZv316WLFkivXr1kqeeekrmzp0rkZGRgT41AAgaxFIApSEpAUq5kf7v//6vPProo/LBBx/IiBEjit138uTJlXpuABAsiKUASkNSApRyI73tttvkwoULug90aYM4AQAXI5YCKE1EqXsAYerMmTNy6NAhWbZsmSQlJcndd98tmzZtktatWwf61AAgaBBLAZQFSQlQwqd1Ho9HWrVqJR07dpS9e/fq2WK2bt0ql156aaBPDwCCArEUQFnQfQsoobtBixYtJDo6Oq+fc/PmzXUXhKysrECfHgAEBWIpgLJwWZZllWlPACW67777ZPHixYE+DQAIasRSIDyRlAB+ePPNN+W1117TX+/fv19atmypv54xYwYrFwNAGRFLAZCUAAAAAAgoxpQAAAAACCiSEgAAAAABRVICAAAAIKBISgAAAAAEFEkJAAAAgIAiKQEAAAAQUCQlAAAAAAKKpAQAAABAQJGUAAAAAAgokhIAAAAAAUVSAgAAACCgSEoAAAAASCD9fxRMRGz/1D3hAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mock.kperpbins = np.linspace(0,mock.k_perp.max(),16)\n", "mock.kparabins = np.linspace(0,mock.k_para.max(),21)\n", "pmock_cy,_ = mock.get_cy_power(power_mock)\n", "pmock_cy_weights,_ = mock.get_cy_power(mock.auto_power_tracer_2_model + shot_noise)\n", "fig,axes = plt.subplots(1,2,figsize=(10,4))\n", "axes[0].pcolormesh(\n", " mock.kperpbins,mock.kparabins,np.log10(pmock_cy).T,\n", " vmin=2.1,vmax=4.5,\n", ")\n", "im = axes[1].pcolormesh(\n", " mock.kperpbins,mock.kparabins,np.log10(pmock_cy_weights).T,\n", " vmin=2.1,vmax=4.5,\n", ")\n", "axes[0].set_xlabel(r'$k_\\perp$')\n", "axes[0].set_ylabel(r'$k_\\parallel$')\n", "axes[0].set_title('Mock')\n", "axes[1].set_xlabel(r'$k_\\perp$')\n", "axes[1].set_ylabel(r'$k_\\parallel$')\n", "axes[1].set_title('Model')\n", "plt.colorbar(im,ax=axes[:],label=r'$\\log_{10} P(k)$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All good. Now let us pretend that `wf_gal` does not exist. That is, I treat `gal_count` as if the geometry and the redshift kernel are all uniform:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# galaxy number count to overdensity\n", "mock.field_2 = gal_count\n", "# disable field weighting\n", "mock.weights_field_2 = None\n", "mock.mean_center_2 = True\n", "mock.unitless_2 = True\n", "# G_grid = 1\n", "mock.compensate = [False,False]\n", "# G_map = 1\n", "mock.include_sky_sampling = [False,False]\n", "# B = 1\n", "mock.include_beam = [False,False]\n", "mock.weights_grid_2 = None\n", "# get the 3D power spectrum\n", "power_mock = mock.auto_power_3d_2.copy()\n", "# since we haven't set any weight, the model power is not convolved\n", "power_model_no_weights = mock.auto_power_matter_model.copy()\n", "# shot noise is survey volume over number of galaxies\n", "#shot_noise = np.prod(mock.box_len) / (gal_count).sum() * power_weights_renorm(wf_gal, wf_gal) * wf_gal.mean()**2\n", "shot_noise_nw = get_shot_noise_galaxy(\n", " gal_count, mock.box_len, \n", " mock.weights_grid_2,\n", " mock.weights_field_2)\n", "\n", "power_1d_mock_nw,keff,nmodes = mock.get_1d_power(power_mock)\n", "\n", "power_1d_model_nw,_,_ = mock.get_1d_power(mock.auto_power_tracer_2_model)\n", "\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,4))\n", "ax = plt.gca()\n", "ax.plot(keff,(power_1d_mock_nw)-shot_noise_nw,label='Mock (no weights)',ls='-',lw=3)\n", "ax.plot(keff,power_1d_model_nw,label='Model (no weights)',ls=':',lw=3)\n", "ax.plot(keff,power_1d_model_weights,label='Model (weights convolved)',ls='--',lw=3)\n", "\n", "ax.set_xlabel(r'$k$')\n", "ax.set_ylabel(r'$P(k)$')\n", "ax.set_yscale('log')\n", "ax.legend()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Two things stand out:\n", "\n", "1. The model power spectrum, with or without weights, is almost identical. This is because the amplitude of the model power spectrum is always renormalised, so that the only different is the convolution of model and weights in Fourier space. This leads to a tiny difference:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1.01957016, 0.98725196, 0.98943286, 0.99646495, 0.99801484,\n", " 0.99876736, 0.99908082, 0.99934886, 0.99946504, 0.99953185,\n", " 0.99969732, 0.99970795, 0.99975271, 0.99976668, 0.99836299])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "power_1d_model_nw/power_1d_model_weights" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Second, note that the measured power spectrum has an artificial increase in amplitude comparing to the input model. There are two issues from neglecting the weights:\n", "- The mean galaxy number density is wrong (Therefore also the shot noise is wrong)\n", "- The power specturm estimator is not normalised.\n", "\n", "We can manually correct for it (which is automatically performed in `meer21cm`):" ] }, { "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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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# estimator renormalisation\n", "renorm_weights = power_weights_renorm(wf_gal, wf_gal)\n", "# power spectrum is corrected by the mean as well as the estimator renormalisation\n", "shot_noise_corrected = np.prod(mock.box_len) / (gal_count).sum() * renorm_weights * wf_gal.mean()**2\n", "power_1d_mock_nw_corrected = (power_1d_mock_nw)*renorm_weights * wf_gal.mean()**2\n", "plt.figure(figsize=(10,4))\n", "ax = plt.gca()\n", "ax.plot(keff,power_1d_mock_nw_corrected - shot_noise_corrected,label='Mock renormalized',ls='-',lw=3)\n", "ax.plot(keff, power_1d_model_nw, label='Model',ls=':',lw=3)\n", "ax.set_xlabel(r'$k$')\n", "ax.set_ylabel(r'$P(k)$')\n", "ax.set_yscale('log')\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, in practice, this is automatically taken care of." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Grid level weights\n", "Now suppose that you want to also apply some weights yourself on the gridded field before taking DFT. This weighting can be a taper function, or inverse noise variance weighting in the case of HI, etc.\n", "\n", "Note that, it is usually assumed that the HI only has grid level weights and galaxy only has field level weights. **If both weights are non-uniform**, the renormalisation becomes highly-nontrivial unless the approximation for the narrow Fourier profile holds as mentioned at the beginning of this notebook." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "taper = (\n", " windows.blackmanharris(mock.box_ndim[0])[:,None,None] # taper in x-direction\n", " * windows.blackmanharris(mock.box_ndim[1])[None,:,None] # taper in y-direction\n", " * windows.blackmanharris(mock.box_ndim[2])[None,None,:] # taper in z-direction\n", ")\n", "#taper/=taper.mean()\n", "# specify the grid-level weights\n", "mock.weights_grid_2 = (taper.copy())\n", "mock.weights_field_2 = wf_gal" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "power_1d_mock,keff,nmodes = mock.get_1d_power(mock.auto_power_3d_2)\n", "shot_noise = get_shot_noise_galaxy(\n", " gal_count, mock.box_len, \n", " mock.weights_grid_2,\n", " mock.weights_field_2)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,4))\n", "ax = plt.gca()\n", "ax.plot(keff,power_1d_mock - shot_noise,label='Mock',ls='-',lw=3)\n", "ax.plot(keff,power_1d_model_weights,label='Model (weights)',ls='--',lw=3)\n", "ax.set_xlabel(r'$k$')\n", "ax.set_ylabel(r'$P(k)$')\n", "\n", "ax.set_yscale('log')\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The shot noise calculation is off on small scales. In galaxy auto-power analysis, it is better to generate random galaxy catalogues following the survey geometry, and then to use the randoms to calculate the shot noise to include all the effects." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Cross-power with different weights for each tracer\n", "\n", "Now, let us generate HI data. HI typically has grid level weights associated with the estimator, for inverse noise variance weighting and tapering:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mock.data = mock.propagate_mock_field_to_data(mock.mock_tracer_field_1)\n", "mock.trim_map_to_range()\n", "plot_map(mock.data,mock.wproj,W=mock.W_HI,title='HI field')" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "mock.field_1 = mock.data\n", "# taper in z-direction\n", "mock.weights_grid_1 = mock.w_HI * windows.blackmanharris(mock.box_ndim[-1])[None,None,:]\n", "mock.weights_field_1 = None\n", "\n", "power_1d_hi_mock,keff,nmodes = mock.get_1d_power(mock.auto_power_3d_1)\n", "power_1d_hi_model,_,_ = mock.get_1d_power(mock.auto_power_tracer_1_model)\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,4))\n", "ax = plt.gca()\n", "ax.plot(keff,power_1d_hi_mock,label='Mock',ls='-',lw=3)\n", "ax.plot(keff,power_1d_hi_model,label='Model (weights)',ls='--',lw=3)\n", "ax.set_xlabel(r'$k$')\n", "ax.set_ylabel(r'$P(k)$')\n", "\n", "ax.set_yscale('log')\n", "ax.legend()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "# now checking cross-power\n", "mock.mean_center_1 = False\n", "mock.unitless_1 = False\n", "mock.mean_center_2 = True\n", "mock.unitless_2 = True\n", "\n", "# field 1 is just HI field, only grid field\n", "mock.field_1 = mock.data\n", "mock.weights_grid_1 = mock.w_HI * windows.blackmanharris(mock.box_ndim[-1])[None,None,:]\n", "mock.weights_field_1 = None\n", "\n", "# field 2 is the galaxy field, only field level weights\n", "mock.field_2 = gal_count\n", "mock.weights_field_2 = wf_gal.copy()\n", "mock.weights_grid_2 = None\n", "power_1d_x_mock,keff,nmodes = mock.get_1d_power(mock.cross_power_3d)\n", "power_1d_x_model,_,_ = mock.get_1d_power(mock.cross_power_tracer_model)\n" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,4))\n", "ax = plt.gca()\n", "ax.plot(keff,power_1d_x_mock,label='Mock',ls='-',lw=3)\n", "ax.plot(keff,power_1d_x_model,label='Model (weights)',ls='--',lw=3)\n", "ax.set_xlabel(r'$k$')\n", "ax.set_ylabel(r'$P(k)$')\n", "\n", "ax.set_yscale('log')\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In practice, all renormalisations are turned on by default. Switch it off by setting `weights=None` only when you know what you are doing. One useful aspect of turning off the renormalisation is to check the shot-noise contribution in its original amplitude, to match with the 1/N expectation (if the gridding scheme is 'nnb'). " ] } ], "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": 2 }