{ "cells": [ { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import ndimage\n", "\n", "from os.path import join as opj\n", "\n", "# this notebook plots the autospectrum and correlation noise pseudospectrum,\n", "# averaged over splits, for a given array (pair), frequency (pair),\n", "# and polarization (pair) of act_dr6.01 data. the mask in which these spectra\n", "# are measured is large and smooth, so the powerspectrum will be qualitatively\n", "# very similar.\n", "\n", "### inputs\n", "my_arr1 = 6 # array of the autospectrum i will plot (4 for pa4, etc.)\n", "my_arr2 = 6 # second array for the correlation spectrum\n", "\n", "my_freq1 = 'f090' # frequency band of the autospectrum i will plot\n", "my_freq2 = 'f150' # second frequency band for the correlation spectrum\n", "\n", "my_pol1 = 'E' # polarization of the autospectrum i will plot (T, E, B)\n", "my_pol2 = 'E' # second polarization for the correlation spectrum\n", "\n", "lmin = 100 # the minimum ell to use\n", "lmax = 10800 # the maximum ell to use\n", "delta_ell = 25 # the width of a tophat smoothing kernel for plotting\n", "\n", "data_directory = '.' # where the data files live on my system" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "### load the noise curves\n", "\n", "# shape is (narr=3, nfreq=2, nsplit=8, npol=3, lmax+1=10801)\n", "N_ell = np.load(opj(data_directory, 'N_ell_pa4_pa5_pa6_dr6v3_v3_dr6v3_20220316_baseline_union_mask_lmax10800_pickupFalse.npy')) \n", "\n", "# shape is (narr=3, narr=3, nfreq=2, nfreq=2, npol=3, npol=3, nsplit=8, lmax+1=10801)\n", "r_ell = np.load(opj(data_directory, 'r_ell_pa4_pa5_pa6_dr6v3_v3_dr6v3_20220316_baseline_union_mask_lmax10800_pickupFalse.npy'))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "### cut ells and smooth curves\n", "lsel = np.s_[..., lmin:lmax+1]\n", "l = np.arange(lmax+1)[lsel]\n", "N_ell = ndimage.uniform_filter1d(N_ell[lsel], delta_ell, axis=-1, mode='nearest')\n", "r_ell = ndimage.uniform_filter1d(r_ell[lsel], delta_ell, axis=-1, mode='nearest')" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "### convert inputs into indices that we will use to plot data subsets\n", "\n", "# get index of my arrays\n", "my_arr_index1 = [4, 5, 6].index(my_arr1)\n", "my_arr_index2 = [4, 5, 6].index(my_arr2)\n", "\n", "# get index of my frequency bands\n", "arrs2freqs = {\n", " 4: ['f150', 'f220'],\n", " 5: ['f090', 'f150'],\n", " 6: ['f090', 'f150']\n", "}\n", "my_freq_index1 = arrs2freqs[my_arr1].index(my_freq1)\n", "my_freq_index2 = arrs2freqs[my_arr2].index(my_freq2)\n", "\n", "# get index of my pols\n", "my_pol_index1 = 'TEB'.index(my_pol1)\n", "my_pol_index2 = 'TEB'.index(my_pol2)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "### plot curves (average and scatter over nsplit=8 splits)\n", "\n", "# plot autospectrum, average and scatter over splits\n", "y = N_ell[my_arr_index1, my_freq_index1, :, my_pol_index1].mean(axis=0)\n", "y_err = N_ell[my_arr_index1, my_freq_index1, :, my_pol_index1].std(axis=0)\n", "\n", "# normalize by TT spectrum at highest ell\n", "y_norm = N_ell[my_arr_index1, my_freq_index1, :, 0].mean(axis=0)[-1]\n", "\n", "plt.plot(l, y/y_norm, alpha=0.8)\n", "plt.fill_between(l, (y - y_err) / y_norm, (y + y_err) / y_norm, alpha=0.3)\n", "plt.loglog()\n", "plt.grid()\n", "plt.xlabel('$\\ell$')\n", "plt.ylabel('$N_{\\ell} / N^{TT}_{10,800} \\ \\mathrm{[a.u.]}$')\n", "plt.title(f'noise auto(pseudo)spectrum: act_dr6.01 pa{my_arr1}_{my_freq1}_{my_pol1}')\n", "plt.show()\n", "\n", "# plot correlation spectrum, average and scatter over splits\n", "y = r_ell[my_arr_index1, my_arr_index2, my_freq_index1, my_freq_index2, my_pol_index1, my_pol_index2, :].mean(axis=0)\n", "y_err = r_ell[my_arr_index1, my_arr_index2, my_freq_index1, my_freq_index2, my_pol_index1, my_pol_index2, :].std(axis=0)\n", "\n", "plt.plot(l, y, alpha=0.8)\n", "plt.fill_between(l, y - y_err, y + y_err, alpha=0.3)\n", "plt.semilogx()\n", "plt.grid()\n", "plt.xlabel('$\\ell$')\n", "plt.ylabel('$r_{\\ell} \\ \\mathrm{[a.u.]}$')\n", "plt.title(f'noise correlation (pseudo)spectrum: act_dr6.01 pa{my_arr1}_{my_freq1}_{my_pol1} x pa{my_arr2}_{my_freq2}_{my_pol2}')\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "pspy-della8", "language": "python", "name": "pspy-della8" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 2 }