{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "### Time-varying signals and wavelet transform\n", "\n", "For exploring the wavelet transform, we create a signal with a sine wave whose frequency changes over time. \n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# properties of time series: length, sampling rate...\n", "t_max = 3\n", "dt_bin = 0.0025\n", "n_bins = np.ceil(t_max / dt_bin)\n", "t = dt_bin * np.arange(n_bins)\n", "\n", "# a chirp with decreasing frequency!\n", "f_max = 42\n", "f_min = 4.2\n", "a_sin = 3.2\n", "a_ofs = 2.1\n", "f = f_min + (f_max - f_min) * (1 - t / t_max)\n", "dphi = f * 2 * np.pi * dt_bin\n", "signal = a_ofs + a_sin * np.sin(np.cumsum(dphi)) # + 14 * np.random.random(int(n_bins))\n", "\n", "# ...just show the signal\n", "plt.figure(1)\n", "plt.plot(t, signal)\n", "plt.xlabel('time t')\n", "plt.ylabel('signal s(t)')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tasks\n", "\n", "1. Compute and display the power spectrum of the signal, using the Fourier transform\n", "\n", "2. Compute the wavelet transform over a convenient frequency range, and display the power or amplitude spectrum\n", "\n", "3. Compare the two spectra: what does the wavelet spectrum tell you what the 'normal' power spectrum can not do?\n", "\n", "4. Add the cone-of-influence to the wavelet spectrum, and arrange the frequency axis logarithmically. Are the 'edges' of the signal with the typical artefacts from the Fourier/wavelet transforms 'wrapping around' the signal borders indeed masked by the cone? \n", "\n", "5. Try also to add some noise to the signal and observe the changes in the spectra.\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.11.6" } }, "nbformat": 4, "nbformat_minor": 2 }