{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## TP - Filtrage numérique \n",
    "\n",
    "\n",
    "On teste les parties compétences numériques pour la FFT et le filtrage numérique.\n",
    "\n",
    "Dans le programme on doit utiliser la fonction **rfft** de la bibliothèque **numpy.fft**.\n",
    "\n",
    "Le signal à étudier peut être obtenu en sommant des fonctions (avec numpy) ou en récupérant des données expérimentales (fichier csv).\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4000\n"
     ]
    },
    {
     "data": {
      "image/png": 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ht20n+LLPA7ytN+kVPXSui1/40D349EMXsWHNL6ro2x7++oHz+Nd/di/uPbOZ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\nw5OD4ziOk8OTg+M4jpPjJ7QD/5XniIFjAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e9a1a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fe=4e3\n",
    "f1=50\n",
    "f2=400\n",
    "\n",
    "Tacq=1\n",
    "\n",
    "\n",
    "Te=1/(fe) \n",
    "\n",
    "\n",
    "\n",
    "# Création du signal à fitlrer\n",
    "t=np.arange(0,Tacq,Te)\n",
    "N=len(t)\n",
    "signal=np.cos(2*np.pi*f1*t)+0.5*np.cos(2*np.pi *f2*t)\n",
    "\n",
    "print(N)\n",
    "plt.axis([0,0.1,-2,2]) \n",
    "plt.plot(t,signal)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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IP2+OXV4lVLev+ty8sS03iK5++4wCN39guGaaGwLTIPquZnhWDc7w6PNP48TK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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e989a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f = open(\"signal2.csv\") # on oouvre le fichier avec les résultats\n",
    "sep=\";\" # données séparées par un ; dans tableau1\n",
    "data=f.readlines() #on lit toutes les lignes \n",
    "f.close() #on referme le fichier\n",
    "\n",
    "\n",
    "t1=[]\n",
    "s1=[]\n",
    "\n",
    "for ligne in data: \n",
    "    ligne=ligne.strip().split(sep) #on sépare les différents éléments\n",
    "    ligne=list(map(float,ligne)) #on convertit chaque élément en flottant\n",
    "    t1.append(ligne[0]) #on rentre les valeurs dans les lites adaptées\n",
    "    s1.append(ligne[1])\n",
    "plt.plot(t1,s1)\n",
    "plt.show()\n",
    "\n",
    "N1=len(t1)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On peut alors calculer le spectre du signal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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B32qfHrxQVbPATcC+1nYN8HBVPbYsZ9IRLxlJk8FA6N5I7yFU1QHgwEDb7r7tjwMfX+C4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\nDARJUmMgSJIAA0GS1BgIkiTAQJAkNf8PkSqtm2NahMcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e3f9320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fourier = np.fft.rfft(signal)\n",
    "\n",
    "freq = np.fft.rfftfreq(N, d=Te)\n",
    "\n",
    "plt.plot(freq,np.abs(fourier[0:len(freq)])*2/N,'k-')\n",
    "plt.axis([0,500,0,2])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Même chose pour les données expérimentales :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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snel2zPC/+SrgMuC1lG3fAe5Ort8N/G1yfWmyT2YBi5N9VZztf0OG+uFc4LLk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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f042e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fourier_s1 = np.fft.rfft(s1)\n",
    "\n",
    "freq_s1 = np.fft.rfftfreq(N1, t1[1]-t1[0])\n",
    "\n",
    "plt.plot(freq_s1,np.abs(fourier_s1[0:len(freq_s1)])*2/N1,'k-')\n",
    "plt.axis([0,500,0,1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "On peut ensuite réaliser les différents filtrage et observer leur action sur le spectre du signal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ataTe/bsdu+Y5Lw5xI1n3FmZKeYSQpKKKoML17+Djb9LQMpLcP/15N5v5rDFf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eHeFeeVbTP/1Grg3UmzFU28+ffqorJt2k4m8ZrX3tr3124cXAPAirkfLVk/Z84cdGrRZLkZKSKm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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d9e4f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Filtre à moyenne glissante \n",
    "filtre1=np.zeros(N)\n",
    "nfiltre=9\n",
    "for i in range(N):\n",
    "    for k in range(nfiltre):\n",
    "        filtre1[i]+=signal[i-k]/nfiltre\n",
    "\n",
    "plt.axis([0,0.1,-2,2]) \n",
    "plt.plot(t,signal)\n",
    "plt.plot(t,filtre1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BUlcZCAOcIUjqKgNhgDMESV1lIAwwECR1lYEwwCUjSV1lIAxwhiC9Pnz5y18mCd/+9rdX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\nVwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10dc28320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fourierFiltre1=np.fft.rfft(filtre1)\n",
    "plt.plot(freq,np.abs(fourierFiltre1[0:len(freq)])*2/N,'k-')\n",
    "plt.axis([0,500,0,2])\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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3C0RK2RxZeok9To6e/1F85oxbcG36ZiDHdiS2xwU3GtpoXJR107WRj7intkte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\nCVjxKucctqEczgdTFsF8ayeBkXySZ/cWqTWaDPsoRFeYWPHxlit1c83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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10de68c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Filtre passe-bas : méthode d'Euler\n",
    "fc=60 #fréquence de coupure du filtre\n",
    "wc=2*np.pi*fc\n",
    "filtre2=np.zeros(N)\n",
    "filtre2[0]=signal[0]\n",
    "for i in range (1,N):\n",
    "    filtre2[i]=(filtre2[i-1]+Te*wc*signal[i])/(1+wc*Te)\n",
    "\n",
    "plt.axis([0,0.1,-2,2]) \n",
    "plt.plot(t,signal)\n",
    "plt.plot(t,filtre2)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Raw Cell Format",
  "colab": {
   "name": "python4tp.ipynb",
   "provenance": [],
   "toc_visible": true
  },
  "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": "3.6.1"
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  "toc": {
   "base_numbering": "0",
   "nav_menu": {
    "height": "369px",
    "width": "618.333px"
   },
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table des Matières",
   "title_sidebar": "Sommaire",
   "toc_cell": true,
   "toc_position": {
    "height": "calc(100% - 180px)",
    "left": "10px",
    "top": "150px",
    "width": "165px"
   },
   "toc_section_display": true,
   "toc_window_display": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
