{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulation échantillonneur-bloqueur\n",
    "\n",
    "Deux versions proposées"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Une première version dans laquelle on contrôle la durée du blocage avec l'entier pas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "points = range(512)\n",
    "w = 1/20\n",
    "\n",
    "def tension(t, w): \n",
    "    return np.cos(t*w)\n",
    "def tension_entiere(t, w, pas): \n",
    "    return tension(pas*int(t/pas), w)\n",
    "\n",
    "# Fonction tension\n",
    "f = lambda t: tension(t, w)\n",
    "\n",
    "# Fonction tension echantillonée\n",
    "fe = lambda t: tension_entiere(t, w, 25)\n",
    "\n",
    "fig, ax = plt.subplots()             # Create a figure containing a single Axes.\n",
    "ax.set_title('TP')\n",
    "ax.set_xlabel('Points')\n",
    "ax.set_ylabel('Tension')\n",
    "ax.plot(points, list(map(f, points)))  # Plot some data on the Axes.\n",
    "ax.plot(points, list(map(fe, points)))  # Plot some data on the Axes.\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Une seconde version dans laquelle la fréquence du signal et la fréquence d'échantillonnage sont dans les paramètres (attention, il faut que le nombre de points par seconde soit supérieur à la fréquence d'échantillonnage)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=[] # abcisses (en sec)\n",
    "ys=[] # ordonnées signal sinusoidal\n",
    "ye=[] # ordonnées signal échantilloné\n",
    "s=0 # valeur échantillonée\n",
    "duree = 1 # durée\n",
    "nbr_points = 5000 # nombre de points par secondes\n",
    "freq_sin=2 # fréquence de la sinusoide\n",
    "freq_ech=50 # fréquence d'échantillonage\n",
    "forme = np.sin # forme du signal\n",
    "\n",
    "\n",
    "for i in range(0,nbr_points*duree):\n",
    "    t=i/nbr_points\n",
    "    if i%(nbr_points/freq_ech)==0: # il faut échantilloner\n",
    "        s=forme(t*2*np.pi*2)\n",
    "    x.append(t)\n",
    "    ys.append(forme(t*2*np.pi*freq_sin))\n",
    "    ye.append(s)\n",
    "\n",
    "\n",
    "plt.plot(x,ys)\n",
    "plt.plot(x,ye)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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