{ "cells": [ { "cell_type": "markdown", "id": "8dd50c5b", "metadata": {}, "source": [ "# m=0 Wavelet Coefficients\n", "\n", "The wavelet basis is labelled by the indices $n$ and $m$;\n", "\n", "$$ x[k] = \\sum_{n=0}^{N_t-1} \\sum_{m=0}^{N_f-1} w_{nm} g_{nm}[k] . $$\n", "\n", "The index $m$ labels wavelets of different frequencies and varies in the range $m\\in\\{0,1,\\ldots,N_f-1\\}$.\n", "\n", "The terms with $m=0$ include both the lowest frequency ($f\\approx 0$) and the highest frequency ($f\\approx f_{\\rm Nyquist}$) wavelets.\n", "These terms need to be handled separately from the majority of the terms with $m>0$. \n", "This slows down the wavelet transfrom.\n", "\n", "However, very often the lowest and highest frequencies are not used for data analysis. \n", "E.g. when computing a GW log-likelihood we typically only integrate over a range $f_{\\rm low}\\leq f \\leq f_{\\rm high}$\n", "where the limits are chosen to be well inside the frequency range of the FFT.\n", "\n", "For this reason the `WDM_transform` class is by default initialised with `calc_m0=False`. \n", "This will speed up the transformation but will get the calculations of the $m=0$ terms wrong.\n", "If the $m=0$ terms are needed, then set `calc_m0=True`." ] }, { "cell_type": "code", "execution_count": 1, "id": "a83cf0bc", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import WDM" ] }, { "cell_type": "code", "execution_count": 2, "id": "f1481b0f", "metadata": {}, "outputs": [], "source": [ "Nf = 32\n", "N = 32*Nf\n", "\n", "wdm_m_all = WDM.WDM.WDM_transform(dt=1, Nf=Nf, N=N, calc_m0=True)\n", "wdm_m_geq0 = WDM.WDM.WDM_transform(dt=1., Nf=Nf, N=N) # default calc_m0=False" ] }, { "cell_type": "markdown", "id": "d7a9776f", "metadata": {}, "source": [ "If we use the `wdm_m_geq0` wdm transform to analyse a signal with lots of power at very low (or very high) frequencies then we will get the wrong result." ] }, { "cell_type": "code", "execution_count": 3, "id": "aef3c9d7", "metadata": {}, "outputs": [], "source": [ "f = lambda u, a: np.sin(a*np.pi*u) * np.exp(-0.5*u**2)" ] }, { "cell_type": "code", "execution_count": 4, "id": "9644558a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "test_signal_lowf = f((wdm_m_all.times-wdm_m_all.T/2)/(wdm_m_all.T/16), 1)\n", "\n", "plt.plot(wdm_m_all.times, test_signal_lowf, label='Test signal')\n", "\n", "reconstructed_m_all = wdm_m_all.idwt(wdm_m_all.forward_transform_short_fft(test_signal_lowf))\n", "plt.plot(wdm_m_all.times, reconstructed_m_all, label=r'Reconstructed (all $m$)', ls='--', lw=3)\n", "\n", "reconstructed_m_geq0 = wdm_m_geq0.idwt(wdm_m_geq0.forward_transform_short_fft(test_signal_lowf))\n", "plt.plot(wdm_m_geq0.times, reconstructed_m_geq0, label=r'Reconstructed ($m>0$)', ls='--', lw=3)\n", "\n", "plt.xlabel('Time'); plt.ylabel('Signal'); plt.legend(loc='upper right')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "17e01b4c", "metadata": {}, "source": [ "However, for signals where all the power concentrated is in the middle of the bandwidth it will work OK." ] }, { "cell_type": "code", "execution_count": 5, "id": "dd32334a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "test_signal_highf = f((wdm_m_all.times-wdm_m_all.T/2)/(wdm_m_all.T/16), 4)\n", "\n", "plt.plot(wdm_m_all.times, test_signal_highf, label='Test signal')\n", "\n", "reconstructed_m_all = wdm_m_all.idwt(wdm_m_all.forward_transform_short_fft(test_signal_highf))\n", "plt.plot(wdm_m_all.times, reconstructed_m_all, label=r'Reconstructed (all $m$)', ls='--', lw=2)\n", "\n", "reconstructed_m_geq0 = wdm_m_geq0.idwt(wdm_m_geq0.forward_transform_short_fft(test_signal_highf))\n", "plt.plot(wdm_m_geq0.times, reconstructed_m_geq0, label=r'Reconstructed ($m>0$)', ls='--', lw=2)\n", "\n", "plt.xlabel('Time'); plt.ylabel('Signal'); plt.legend(loc='upper right')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "a3b847e6", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "WDM", "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": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }