From d5643bf46bbc11acbc2ea05191cc20b9b4d37233 Mon Sep 17 00:00:00 2001 From: Pierre Cadart Date: Tue, 8 Oct 2019 11:40:35 +0200 Subject: [PATCH] analysis of noisy signal --- duval/nonParametrique/analyze.ipynb | 295 ++++++++++++++++++++++++++++ 1 file changed, 295 insertions(+) create mode 100644 duval/nonParametrique/analyze.ipynb diff --git a/duval/nonParametrique/analyze.ipynb b/duval/nonParametrique/analyze.ipynb new file mode 100644 index 0000000..1370855 --- /dev/null +++ b/duval/nonParametrique/analyze.ipynb @@ -0,0 +1,295 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Chargement des données" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib widget\n", + "import pickle\n", + "import scipy.signal\n", + "\n", + "\n", + "my_data = np.genfromtxt('../Supelec_2012_SIR_Spectral_Analysis_EA_v001.csv', delimiter=',')\n", + "# c'est plus rapide de charger des pickle que des csv\n", + "a=\"\"\"\n", + "with open(\"data.pickle\", \"wb\") as file:\n", + " pickle.dump(my_data, file)\n", + "\n", + "with open(\"data.pickle\", \"rb\") as file:\n", + " my_data = pickle.load(file)\n", + "\"\"\"" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure()\n", + "plt.imshow(np.abs(my_data), aspect=\"auto\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Constantes" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# paramètres du signal\n", + "Te = 10**(-6)\n", + "Fe = 1/Te\n", + "\n", + "def make_cos_window(te, Tcut, length):\n", + " dT=Tcut/16\n", + " len1 = int((Tcut-dT)/te)\n", + " len2 = int(dT/te)\n", + " len3 = length - len1 - 2*len2\n", + " cospart = np.cos(np.linspace(0, np.pi, len2))*0.5 + 0.5\n", + " return np.concatenate([\n", + " cospart[::-1],\n", + " np.ones(len1),\n", + " cospart,\n", + " np.zeros(len3),\n", + " ])\n", + "\n", + "# fenêtre cosinus\n", + "cos_window = make_cos_window(Te, 0.6e-3, 4096)\n", + "# coefficients pour filtre de chebychev\n", + "chebyfilt = scipy.signal.cheby2(2, 40, [2e3, 2e5], fs=Fe, btype='bandpass', output='sos')\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Aide à l'affichage" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def get_fft(sig, te, absolute=True):\n", + " N = len(sig)//2\n", + " signal_f = np.fft.fft(sig)[:N]\n", + " if absolute:\n", + " signal_f = abs(signal_f)\n", + " freqs = np.arange(0, N)*0.5/te\n", + " return freqs, signal_f\n", + "\n", + "def plot_fft(sig, te, absolute=True):\n", + " plt.plot(*get_fft(sig, te, absolute))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Analyse d'un signal" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def sig_simple(signal):\n", + " time = np.arange(0, len(signal))*Te\n", + " signal_win = cos_window * signal\n", + " signal_filt = scipy.signal.sosfilt(chebyfilt, signal_win)\n", + "\n", + " freqs, sig_tf = get_fft(signal_filt, Te)\n", + " \n", + " energy_f = np.multiply(sig_tf, sig_tf)\n", + " bary_f = sum(freqs * energy_f) / sum(energy_f)\n", + " var_f = np.sqrt( sum((freqs - bary_f)**2 * energy_f) / sum(energy_f) )\n", + "\n", + " plt.figure()\n", + " plt.plot(time, signal, linewidth=1)\n", + " plt.plot(time, signal_win, linewidth=1)\n", + " plt.plot(time, signal_filt, linewidth=1)\n", + "\n", + " plt.figure()\n", + " plot_fft(signal, Te)\n", + " plot_fft(signal_win, Te)\n", + " plot_fft(signal_filt, Te)\n", + " plt.vlines([bary_f-var_f, bary_f, bary_f+var_f], 0, max(sig_tf), colors=['r', 'g', 'r'])\n", + "\n", + "signal = my_data[:,101]\n", + "sig_simple(signal) \n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Analyse de tous les signaux, pour extraire les paramètres significatifs" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "def extract_params(signal):\n", + " # fenetrage\n", + " signal_win = cos_window * signal\n", + " \n", + " # filtrage\n", + " signal_filt = scipy.signal.sosfilt(chebyfilt, signal_win)\n", + "\n", + " # fft\n", + " freqs, sig_tf = get_fft(signal_filt, Te)\n", + " \n", + " # moyenne, variance, moments d'ordre 3 à 10 (pondérées)\n", + " energy_f = np.multiply(sig_tf, sig_tf)\n", + " bary_f = sum(freqs * energy_f) / sum(energy_f)\n", + " var_f = sum((freqs - bary_f)**2 * energy_f) / sum(energy_f)\n", + " \n", + " moments = [sum((freqs - bary_f)**n * energy_f) / sum(energy_f) for n in range(3, 11)]\n", + "\n", + " return [bary_f, var_f] + moments\n", + "\n", + "\n", + "barys_vars_f = []\n", + "for i in range(my_data.shape[1]):\n", + " barys_vars_f.append(extract_params(my_data[:, i]))\n", + "\n", + "\n", + "vars_f, barys_f, mom3, mom4, mom5, mom6, mom7, mom8, mom9, mom10 = zip(*barys_vars_f)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.figure()\n", + "plt.scatter(vars_f, barys_f, marker='.')\n", + "plt.xlabel(\"Variance fréquentielle\")\n", + "plt.ylabel(\"Moyenne fréquentielle\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.figure()\n", + "plt.scatter(vars_f, mom3, marker='.')\n", + "plt.xlabel(\"Variance fréquentielle\")\n", + "plt.ylabel(\"Moment d'ordre 3\")\n", + "\n", + "_=\"\"\"\n", + "plt.figure()\n", + "plt.scatter(vars_f, mom4, marker='.')\n", + "plt.xlabel(\"Variance fréquentielle\")\n", + "plt.ylabel(\"Moment d'ordre 4\")\n", + "\n", + "plt.figure()\n", + "plt.scatter(vars_f, mom5, marker='.')\n", + "plt.xlabel(\"Variance fréquentielle\")\n", + "plt.ylabel(\"Moment d'ordre 5\")\n", + "\n", + "plt.figure()\n", + "plt.scatter(vars_f, mom6, marker='.')\n", + "plt.xlabel(\"Variance fréquentielle\")\n", + "plt.ylabel(\"Moment d'ordre 6\")\n", + "\n", + "plt.figure()\n", + "plt.scatter(vars_f, mom7, marker='.')\n", + "plt.xlabel(\"Variance fréquentielle\")\n", + "plt.ylabel(\"Moment d'ordre 7\")\n", + "\n", + "plt.figure()\n", + "plt.scatter(vars_f, mom8, marker='.')\n", + "plt.xlabel(\"Variance fréquentielle\")\n", + "plt.ylabel(\"Moment d'ordre 8\")\n", + "\n", + "plt.figure()\n", + "plt.scatter(vars_f, mom9, marker='.')\n", + "plt.xlabel(\"Variance fréquentielle\")\n", + "plt.ylabel(\"Moment d'ordre 9\")\n", + "\n", + "plt.figure()\n", + "plt.scatter(vars_f, mom10, marker='.')\n", + "plt.xlabel(\"Variance fréquentielle\")\n", + "plt.ylabel(\"Moment d'ordre 10\")\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": "3.6.8" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}