{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# EE350: Lab 1 ‒  Signaux déterministes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from numpy.polynomial.chebyshev import chebval\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Introduction - Signaux numériques\n",
    "\n",
    "Dans cette première partie, vous allez apprendre à générer et manipuler des signaux numériques simples. Cette partie servira également d'introduction au domaine.\n",
    "\n",
    "### 1.1 Créer un signal\n",
    "\n",
    "Premièrement, utilisez la bibliothèque Python `NumPy` pour générer un simple signal périodique. Tracez $N_c=4$ périodes d'un sinus oscillant à $f_c=20$ Hz et échantillonné à $f_s=200$ Hz. Vous pouvez utiliser la bibliothèque python `matplotlib` importée ci-dessus pour tracer les résultats. \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '$x(t)$')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Values\n",
    "fc = 20\n",
    "fs = 200\n",
    "Nc = 4\n",
    "\n",
    "# Signal to plot\n",
    "t = np.linspace(start=0, stop=(Nc/fc), num=int(Nc*fs/fc), endpoint=False)\n",
    "x = np.sin(2*np.pi*fc*t)\n",
    "\n",
    "# Plot\n",
    "fig, ax = plt.subplots(1, 1, figsize=(8, 4))\n",
    "\n",
    "ax.plot(t, x, \"*-\")\n",
    "ax.set_title(r'Sampled signal $x(t)$')\n",
    "ax.set_xlabel('Time [s]')\n",
    "ax.set_ylabel(r'$x(t)$')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pourriez-vous expliquer en quelques mots les termes suivants? Justifiez vos explications avec le signal que vous avez créé (n'oubliez pas de mentionner les unités lorsque vous vous référez à des variables physiques):\n",
    "\n",
    "- L'amplitude d'un signal\n",
    "- La période d'un signal\n",
    "- La fréquence d'échantillonnage\n",
    "- La fréquence normalisée"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n",
    "\n",
    "\n",
    "- __Amplitude__: Valeur du signal en un point. L'amplitude maximale d'un sinus est de 1.\n",
    "- __Période__: La plus petite partie indépendante du signal. Mathématiquement, la période $T$ du signal est le plus petit intervalle de temps qui satisfait $g(t+T)=g(t) \\ \\forall t$. La période de notre signal est $T=\\frac{1}{fc}=0.05$ s.\n",
    "\n",
    "- __Fréquence d'échantillonnage__: Fréquence à laquelle le signal continu est mesuré. La fréquence d'échantillonnage ci-dessus est de $f_s = 200$ Hz.\n",
    "\n",
    "- __Fréquence normalisée__: Normalisation de la fréquence du signal dans l'intervalle d'unités, généralement $[-0,5, 0,5[$ ou $[0, 1[$. La fréquence d'échantillonnage, la fréquence continue et la fréquence discrète sont liées par $f_d=\\frac{f_c}{f_s}$. Sans la fréquence d'échantillonnage, il n'est pas possible de récupérer la fréquence du signal continu. La fréquence discrète n'a pas d'unité car elle est le rapport de deux fréquences."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.2 Domaine des fréquences\n",
    "\n",
    "Le signal ci-dessus oscille à une fréquence de $20$ Hz. Dans le domaine temporel, cela est illustré par une \"onde\" qui fait une boucle entre les mêmes valeurs dans le temps. Le domaine temporel est très inefficace pour traiter les signaux oscillants. Heureusement, le domaine fréquentiel est plus pertinent pour ce type de signaux. Ces domaines sont liés par la transformée de Fourier. Pour prouver cette affirmation, tracez la transformée de Fourier de notre signal. \n",
    "\n",
    "Encore une fois, utilisez `NumPy` pour calculer la transformée de Fourier de votre signal définie ci-dessus en utilisant la fonction `fft` du module du même nom. Une fois que vous avez calculé la transformée de Fourier, tracez sa valeur absolue, sa partie réelle et sa partie imaginaire.\n",
    "\n",
    "**Attention**: la fonction `fft` retourne la transformée de Fourier pour l'interval de fréquence normalisée $[0, \\pi]$ et non $[-\\frac{\\pi}{2}, \\frac{\\pi}{2}]$. Pensez donc à centrer votre transformé de Fourier."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute fourier transfrom\n",
    "X = np.fft.fft(x)       # Get Fourier transform in [0, pi]\n",
    "X = np.fft.fftshift(X)  # Center transform [0, pi] -> [-pi/2, pi/2]\n",
    "X = X / len(X)          # Normalize amplitude by number of samples\n",
    "\n",
    "# Define output frequency\n",
    "f = np.linspace(start=-fs/2, stop=fs/2, num=len(X), endpoint=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, axes = plt.subplots(nrows=1, ncols=3, figsize=(15, 4), sharex=True, sharey=True)\n",
    "\n",
    "# Real and imag parts\n",
    "axes[0].stem(f, np.real(X))\n",
    "axes[0].set_title(\"X(f), Real part\")\n",
    "\n",
    "\n",
    "axes[1].stem(f, np.imag(X))\n",
    "axes[1].set_title(\"X(f), Imaginary part\")\n",
    "\n",
    "# Absolute part\n",
    "axes[2].stem(f, np.abs(X), label=\"|X|\")\n",
    "axes[2].set_title(\"X(f), Absolute value\")\n",
    "\n",
    "# Shared legends\n",
    "_ = [a.set_xlabel(\"Frequency [Hz]\") for a in axes]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.3 Signaux à fréquences multiples\n",
    "\n",
    "Générez un nouveau signal périodique. Celui-ci est la somme d'un sinus et d'un cosinus échantillonnés à $f_s=400$ Hz, le premier oscillant à $f_{c1}=20$ Hz et le second à $f_{c2}=50$ Hz. Tracez $N_c=4$ périodes du signal et la valeur absolue de sa transformée de Fourier."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define variables\n",
    "fc1 = 20        # Freq. first signal\n",
    "fc2 = 50        # Freq. second signal\n",
    "fs = 400        # Sampling freq\n",
    "fc12 = 10       # Least common multiple fc1 / fc2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Time and signal\n",
    "t = np.linspace(start=0, stop=(Nc/fc12), num=int(Nc*fs/fc12), endpoint=False)\n",
    "x1 = np.sin(2*np.pi*fc1*t)\n",
    "x2 = np.cos(2*np.pi*fc2*t)\n",
    "x = x1 + x2\n",
    "\n",
    "# FFT and frequency\n",
    "X = np.fft.fftshift(np.fft.fft(x)) / len(x)\n",
    "f = np.linspace(start=-fs/2, stop=fs/2, num=len(X), endpoint=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x600 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(15, 6))\n",
    "gs = fig.add_gridspec(3, 2)\n",
    "ax1 = fig.add_subplot(gs[0, 0])\n",
    "ax2 = fig.add_subplot(gs[1, 0])\n",
    "ax3 = fig.add_subplot(gs[2, 0])\n",
    "ax4 = fig.add_subplot(gs[:, 1])\n",
    "axes = [ax1, ax2, ax3, ax4]\n",
    "\n",
    "# Time domain\n",
    "axes[0].plot(t, x1)\n",
    "axes[0].set_title(\"$x_1(t)$\")\n",
    "axes[1].plot(t, x2)\n",
    "axes[1].set_title(\"$x_2(t)$\")\n",
    "axes[2].plot(t, x)\n",
    "axes[2].set_title(\"$x(t) = x_1(t) + x_2(t)$\")\n",
    "_ = [a.set_xlabel(\"Time [s]\") for a in axes[:3]]\n",
    "\n",
    "# Frequency\n",
    "axes[3].stem(f, np.abs(X))\n",
    "axes[3].set_title(\"|X(f)|\")\n",
    "axes[3].set_xlabel(\"Frequency [Hz]\")\n",
    "\n",
    "# Fit all text in frame\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4 Effet de la fréquence d'échantillonnage\n",
    "\n",
    "Réutilisez le signal ci-dessus, mais changez la fréquence d'échantillonnage à $f_s = 120$ Hz, $60$ Hz et $10$ Hz. Tracez le signal ainsi que la valeur absolue de la transformée de Fourier pour chacune de ces fréquences. Que se passe-t-il?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n",
    "\n",
    "Si la fréquence d'échantillonnage diminue, le temps entre deux mesures augmente. Par conséquent, nous avons plus de chances de rater la variation rapide du signal entre deux mesures. Ces variations rapides sont les hautes fréquences du signal. Si nous ne sommes pas capables de saisir ces variations, elles n'apparaîtront pas dans le domaine des fréquences. Dans les graphiques ci-dessus, la fréquence supérieure de $50Hz$ disparaît de la transformée de Fourier entre les fréquences d'échantillonnage de $120Hz$ et $60Hz$. Au lieu de cela, de nouvelles fréquences apparaissent à $10Hz$. Cet effet est connu sous le nom d'aliasing. Il apparaît lorsque la fréquence d'échantillonnage n'est pas assez élevée par rapport à la fréquence la plus élevée du signal. Les composantes de haute fréquence sont reproduites dans la bande des basses fréquences.  À une fréquence d'échantillonnage de $10Hz$, nous mesurons toujours la même valeur car nous échantillonnons à un taux qui est un multiple des fréquences dans le signal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x600 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Fréquences de sampling\n",
    "fss = [120, 60, 10]\n",
    "\n",
    "# Define plots\n",
    "_, axes = plt.subplots(nrows=len(fss), ncols=2, figsize=(15, 6))\n",
    "\n",
    "for i, fs in enumerate(fss):\n",
    "    \n",
    "    # Temps d'échantillonnage\n",
    "    t = np.linspace(\n",
    "        start=0, stop=(Nc/fc12), num=int(Nc*fs/fc12), endpoint=False\n",
    "    )\n",
    "    # Signal\n",
    "    x = np.sin(2*np.pi*fc1*t) + np.cos(2*np.pi*fc2*t)\n",
    "\n",
    "    # FFT and frequency\n",
    "    X = np.fft.fftshift(np.fft.fft(x)) / len(x)\n",
    "    f = np.linspace(start=-fs/2, stop=fs/2, num=len(X), endpoint=False)\n",
    "    \n",
    "    # Plot results\n",
    "    axes[i, 0].plot(t, x, \"-*\")\n",
    "    axes[i, 0].set_title(\"x(t) with $f_s={}$Hz\".format(fs))\n",
    "    axes[i, 0].set_xlabel(\"time [s]\")\n",
    "    axes[i, 1].stem(f, np.abs(X))\n",
    "    axes[i, 1].set_title(\"X(f) with $f_s={}$Hz\".format(fs))\n",
    "    axes[i, 1].set_xlabel(\"Frequency [Hz]\")\n",
    "    \n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.5 Effet du bruit\n",
    "\n",
    "Jusqu'à présent, nous nous sommes concentrés sur les signaux purement oscillants. Essayez un autre type de signal, beaucoup plus proche de la réalité. Réutilisez la fonction précédente, mais ajoutez-y différent niveaux de bruit gaussien avec la fonction Numpy `np.random.randn`. Le bruit gaussien doit avoir une moyenne $\\mu=0$ et un écart-type de $\\sigma=[0.0, 0.5, 1, 2, 5] $. Tracez le signal ainsi que la valeur absolue de la transformée de Fourier.\n",
    "\n",
    "\n",
    "A partir de vos résultats :\n",
    "- Pour chaque domaine, pourriez-vous décider si le signal est périodique ou non ? Discutez de la robustesse de la représentation au bruit.\n",
    "\n",
    "- Pourriez-vous expliquer pourquoi une fréquence d'échantillonnage élevée n'est pas toujours la meilleure solution ?\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n",
    "\n",
    "- __Robustesse au bruit__ : Le signal du domaine temporel se dégrade beaucoup plus vite que la représentation du domaine fréquentiel. Les pics dans le domaine fréquentiel sont toujours visibles pour une variance de bruit de $\\sigma=1$ alors que le signal dans le domaine temporel ressemble à du bruit aléatoire. Pour une variance de bruit de $\\sigma=1$, les pics dans le domaine fréquentiel ne sont plus visibles à la fréquence analogique de départ.\n",
    "\n",
    "- __Fréquence d'échantillonnage__ : Si nous prenons une fréquence d'échantillonnage très élevée, nous capturerons de nombreuses fréquences supérieures à la fréquence maximale de notre signal. Ces fréquences supplémentaires ne contiennent aucune information utile car elles représentent majoritairement le bruit du signal.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<>:28: SyntaxWarning: invalid escape sequence '\\s'\n",
      "<>:33: SyntaxWarning: invalid escape sequence '\\s'\n",
      "<>:28: SyntaxWarning: invalid escape sequence '\\s'\n",
      "<>:33: SyntaxWarning: invalid escape sequence '\\s'\n",
      "/var/folders/b_/k3pmjy7x07x6t1ckb4k9tyyw0000gn/T/ipykernel_5954/726346011.py:28: SyntaxWarning: invalid escape sequence '\\s'\n",
      "  axes[i, 0].set_title(\"Temporal ($\\sigma={})$\".format(sigma))\n",
      "/var/folders/b_/k3pmjy7x07x6t1ckb4k9tyyw0000gn/T/ipykernel_5954/726346011.py:33: SyntaxWarning: invalid escape sequence '\\s'\n",
      "  axes[i, 1].set_title(\"Fourier transform ($\\sigma={}$)\".format(sigma))\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x1000 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Sampling\n",
    "fs = 400\n",
    "# Time and signal\n",
    "t = np.linspace(start=0, stop=(Nc/fc12), num=int(Nc*fs/fc12), endpoint=False)\n",
    "x = np.sin(2*np.pi*fc1*t) + np.cos(2*np.pi*fc2*t)\n",
    "# Frequency\n",
    "f = np.linspace(start=-fs/2, stop=fs/2, num=len(x), endpoint=False)\n",
    "\n",
    "\n",
    "# Standard deviation\n",
    "sigmas = [0.0, 0.5, 1, 2, 5]\n",
    "rndstate = np.random.RandomState(seed=0)\n",
    "\n",
    "# Create plots\n",
    "_, axes = plt.subplots(nrows=len(sigmas), ncols=2, figsize=(15, 10))\n",
    "\n",
    "for i, sigma in enumerate(sigmas):\n",
    "    \n",
    "    # Add noise to signal\n",
    "    xn = x + sigma * rndstate.randn(len(t))\n",
    "    \n",
    "    # Compute Fourier transform\n",
    "    Xn = np.fft.fftshift(np.fft.fft(xn)) / len(xn)\n",
    "    \n",
    "    # Plot noisy signal\n",
    "    axes[i, 0].plot(t, xn)\n",
    "    axes[i, 0].set_xlabel(\"Time [s]\")\n",
    "    axes[i, 0].set_title(\"Temporal ($\\sigma={})$\".format(sigma))\n",
    "    \n",
    "    # Plot noisy signal\n",
    "    axes[i, 1].stem(f, np.abs(Xn))\n",
    "    axes[i, 1].set_xlabel(\"Frequency [Hz]\")\n",
    "    axes[i, 1].set_title(\"Fourier transform ($\\sigma={}$)\".format(sigma))\n",
    "    \n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## 2. Transformée de Fourier\n",
    "\n",
    "Calculer la transformée de Fourier des fonctions suivantes:\n",
    "\n",
    "\n",
    "### 2.1 Théorie\n",
    "* $x_1(t) = \\cos(2 \\pi 10 t)$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n",
    "\n",
    "\\begin{equation*} \n",
    "\\begin{split}\n",
    "X_1(f) & = \\mathcal{F} \\{\\cos (2 \\pi 10 t ) \\} \\\\\n",
    " & = \\mathcal{F} \\{ \\frac{1}{2} (e^{j 2 \\pi 10t} + e^{-j 2 \\pi 10t}) \\}\\\\\n",
    " & = \\frac{1}{2} (\\mathcal{F} \\{  e^{j 2 \\pi 10t}\\} +  \\mathcal{F}\\{ e^{-j 2 \\pi 10t} \\})\\\\\n",
    " & = \\frac{1}{2} [\\delta(f - 10) +  \\delta(f + 10)]\\\\\n",
    "\\end{split}\n",
    "\\end{equation*}\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* $x_2(t) = \\Pi(t) \\cos(2 \\pi 10 t)$ et $\\Pi(t) = \\begin{cases}\n",
    "A, \\, \\forall t \\in [-\\frac{1}{2}, \\frac{1}{2}]\\\\\n",
    "0, \\, \\text{sinon}.\n",
    "\\end{cases}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n",
    "\n",
    "\n",
    "\\begin{equation*} \n",
    "\\begin{split}\n",
    "\\mathcal{F} \\{ \\Pi \\} (f) & = A \\int_{-\\frac{1}{2}}^{\\frac{1}{2}} e^{-j 2 \\pi f t} dt\\\\\n",
    " & = - \\frac{A}{j 2 \\pi f} e^{-j 2 \\pi f t} \\Big|_{-\\frac{1}{2}}^{\\frac{1}{2}}\\\\\n",
    " & = \\frac{A}{j 2 \\pi f} (e^{j \\pi f} - e^{-j \\pi f}) \\\\\n",
    " & = \\frac{A}{\\pi f}\\frac{1}{j 2} (e^{j \\pi f} - e^{-j \\pi f}) \\\\\n",
    " & = \\frac{A}{\\pi f}\\sin(\\pi f)\\\\\n",
    " & = A \\,\\text{sinc}(f)\\\\\n",
    "\\end{split}\n",
    "\\end{equation*}\n",
    "\n",
    "\\begin{equation*} \n",
    "\\begin{split}\n",
    "X_2(f) & = \\mathcal{F} \\{ \\Pi(t) \\cos(2 \\pi 10 t) \\} \\\\\n",
    " & = \\mathcal{F} \\{ \\Pi(t) \\} \\ast X_1 (f) \\\\\n",
    " & = A \\,\\text{sinc}(f) \\ast \\frac{1}{2} [\\delta(f - 10) +  \\delta(f + 10)] \\\\\n",
    " & = \\frac{A}{2} [\\text{sinc}(f - 10) + \\text{sinc}(f + 10)]\\\\\n",
    "\\end{split}\n",
    "\\end{equation*}\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* $x_3(t) = \\Lambda(t) \\cos(2 \\pi 10 t)$ et $\\Lambda(t) = \\begin{cases}\n",
    "1-|t|, \\, \\forall t \\in [-1, 1]\\\\\n",
    "0, \\, \\text{sinon}.\n",
    "\\end{cases}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "vscode": {
     "languageId": "plaintext"
    }
   },
   "source": [
    "<center style=\"color:red\">Corrections</center>\n",
    "\n",
    "\n",
    "\\begin{equation*} \n",
    "\\begin{split}\n",
    "\\mathcal{F}\\{\\Lambda\\}(f) & =  \\mathcal{F}\\{\\Pi \\ast \\Pi\\}(f) \\\\\n",
    " & =  \\mathcal{F}\\{\\Pi\\}(f)  \\,\\mathcal{F}\\{\\Pi\\}(f) \\\\\n",
    " & = A^2 \\,\\text{sinc}^2(f)\\\\\n",
    "\\end{split}\n",
    "\\end{equation*}\n",
    "\n",
    "\n",
    "\\begin{equation*} \n",
    "\\begin{split}\n",
    "X_3(f) & = \\mathcal{F} \\{ \\Lambda(t) \\cos(2 \\pi 10 t) \\}  \\\\\n",
    "& = \\mathcal{F} \\{ \\Lambda \\}(f) \\ast X_1(f)  \\\\\n",
    " & = A^2 \\,\\text{sinc}^2(f) \\ast X_1(f)  \\\\\n",
    " & = \\frac{A^2}{2} [\\text{sinc}^2(f - 10) + \\text{sinc}^2(f + 10)]\\\\\n",
    "\\end{split}\n",
    "\\end{equation*}\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.2 Application\n",
    "\n",
    "Tracer les fonctions $x_1$, $x_2$, et $x_3$ dans l'interval $t=[-1, 1]$ ainsi que les modules des transformées de Fourier. Utiliser une fréquence de sampling $f_s = 100$ Hz, $A = 1$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "fs = 100  # Sampling frequency\n",
    "t = np.linspace(start=-1, stop=1, num=2*fs, endpoint=False)\n",
    "f = np.linspace(-fs/2, fs/2, 2*fs, endpoint=False)\n",
    "\n",
    "# Signals\n",
    "x1 = np.cos(2 * np.pi * 10 * t)\n",
    "x2 = (np.abs(t) < 0.5) * x1\n",
    "x3 = (1 - np.abs(t))  * x1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x1000 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define functions to plot\n",
    "xs = [x1, x2, x3]\n",
    "\n",
    "# Plot all signals\n",
    "_, axes = plt.subplots(nrows=3, ncols=2, figsize=(16, 10))\n",
    "\n",
    "for i in range(len(xs)):\n",
    "    \n",
    "    # Transforms\n",
    "    Xsi = np.fft.fftshift(np.fft.fft(xs[i])) / len(xs[i])\n",
    "    \n",
    "    # Plot all signals\n",
    "    axes[i, 0].plot(t, xs[i])\n",
    "    axes[i, 0].set_title(\"$x_{}(t)$\".format(i+1))\n",
    "    axes[i, 0].set_xlabel(\"Time [s]\")\n",
    "    \n",
    "    # Frequency\n",
    "    axes[i, 1].plot(f, np.abs(Xsi))\n",
    "    axes[i, 1].set_title(\"$|X_{}(f)$|\".format(i+1))\n",
    "    axes[i, 1].set_xlabel(\"Frequency [Hz]\")\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## 3. Propriétés des signaux\n",
    "\n",
    "\n",
    "Soit le signal $x(t) = \\Pi(\\frac{t}{B})$, avec\n",
    "$\\Pi(t) = \\begin{cases}\n",
    "A, \\, \\forall t \\in [-\\frac{1}{2}, \\frac{1}{2}]\\\\\n",
    "0, \\, \\text{sinon}.\n",
    "\\end{cases} $, \n",
    "\n",
    "calculer:\n",
    "\n",
    "* $\\bar{x}(T)$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "<center style=\"color:red\">Corrections</center>\n",
    "\n",
    "\\begin{equation*} \n",
    "\\begin{split}\n",
    "\\bar{x}(T) & = \\frac{1}{T}\\int_{-T/2}^{T/2} x(t) \\,dt\\\\\n",
    "& = \\frac{1}{T}\\int_{-T/2}^{T/2} \\Pi(\\frac{t}{B}) \\,dt\\\\\n",
    "& =   \\frac{A}{T} \\begin{cases}\n",
    "\\int_{-T/2}^{T/2} \\,dt, \\, T \\leq B\\\\\n",
    "\\int_{-B/2}^{B/2} \\,dt, \\, T > B. \\end{cases} \\\\\n",
    "& =  \\begin{cases}\n",
    "A, \\, T \\leq B\\\\\n",
    "\\frac{AB}{T}, \\, T > B. \\end{cases} \\\\\n",
    "\\end{split}\n",
    "\\end{equation*}\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* $P_x(T)$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "<center style=\"color:red\">Corrections</center>\n",
    "\n",
    "\\begin{equation*} \n",
    "\\begin{split}\n",
    "P_x(T) & = \\frac{1}{T}\\int_{-T/2}^{T/2} x^2(t) \\,dt\\\\\n",
    "& = \\frac{1}{T}\\int_{-T/2}^{T/2} \\Pi^2(\\frac{t}{B})\\, dt\\\\\n",
    "& =  \\frac{A^2}{T} \\begin{cases}\n",
    "\\int_{-T/2}^{T/2} dt, \\, T \\leq B\\\\\n",
    "\\int_{-B/2}^{B/2} dt, \\, T > B. \\end{cases} \\\\\n",
    "& =  \\begin{cases}\n",
    "A^2, \\, T \\leq B\\\\\n",
    "\\frac{A^2B}{T}, \\, T > B. \\end{cases} \\\\\n",
    "\\end{split}\n",
    "\\end{equation*}\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* $P_x$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "\n",
    "<center style=\"color:red\">Corrections</center>\n",
    "\n",
    "\\begin{equation*} \n",
    "\\begin{split}\n",
    "P_x & = \\lim_{T \\rightarrow \\infty} \\frac{1}{T}\\int_{-T/2}^{T/2} x^2(t) \\,dt\\\\\n",
    "& = \\lim_{T \\rightarrow \\infty} \\frac{A^2B}{T} \\\\\n",
    "& = 0 \\\\\n",
    "\\end{split}\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* $x_{eff}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "<center style=\"color:red\">Corrections</center>\n",
    "\n",
    "\n",
    "\\begin{equation*} \n",
    "\\begin{split}\n",
    "x_{eff} & = \\sqrt{ \\frac{1}{T}\\int_{-T/2}^{T/2} x^2(t) \\,dt}\\\\\n",
    "& =  \\begin{cases}\n",
    "A, \\, T \\leq B\\\\\n",
    "A \\sqrt{\\frac{B}{T}}, \\, T > B. \\end{cases} \\\\\n",
    "\\end{split}\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Tracez la fonction $\\Pi(\\frac{t}{B})$ sur la periode $t \\in [-\\frac{T}{2}, \\frac{T}{2}]$, avec $T = 1$, $A = 1$. Testez deux valeur de $B = 0.5\\, \\text{et}\\,  2$. La fréquence d'échantillonnage est fixée à $f_s = 1000$ [Hz]."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<>:11: SyntaxWarning: invalid escape sequence '\\P'\n",
      "<>:11: SyntaxWarning: invalid escape sequence '\\P'\n",
      "/var/folders/b_/k3pmjy7x07x6t1ckb4k9tyyw0000gn/T/ipykernel_5954/403725449.py:11: SyntaxWarning: invalid escape sequence '\\P'\n",
      "  plt.title(\"Function $\\Pi(t/B)$\")\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time [s]')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Parameters\n",
    "fs = 1000\n",
    "Bs = [0.5, 2]\n",
    "t = np.linspace(-0.5, 0.5, num=fs, endpoint=False)\n",
    "\n",
    "# Different B\n",
    "for B in Bs:\n",
    "    plt.plot(t, np.abs(t/B) < 0.5, label=\"B={}\".format(B))\n",
    "    \n",
    "plt.legend()\n",
    "plt.title(\"Function $\\Pi(t/B)$\")\n",
    "plt.xlabel(\"Time [s]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "vscode": {
     "languageId": "plaintext"
    }
   },
   "source": [
    "## 4. Approximation d’une fonction\n",
    "\n",
    "\n",
    "### 4.1 Théorie"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Soit $x(t), t\\in[−1,1]$ la fonction:\n",
    "\n",
    "$$x(t) = \\begin{cases}\n",
    "-t^2, \\, \\forall t \\in [-1, 0[\\\\\n",
    "t^2, \\, \\forall t \\in [0, 1].\n",
    "\\end{cases}$$\n",
    "\n",
    "et l’ensemble des polynômes de Tchebychev $\\{\\nu_k\\}, k \\in \\mathrm{N}$ définis comme suit:\n",
    "\n",
    "\n",
    "$$\\nu_k(t) = \\begin{cases}\n",
    "1 ,\\, k = 0\\\\\n",
    "t ,\\, k = 1\\\\\n",
    "2t  \\,\\nu_{k-1}  - \\nu_{k-2}  ,\\, \\text{sinon}.\n",
    "\\end{cases}$$\n",
    "\n",
    "\n",
    "1. Prover que les polynômes $\\{\\nu_k\\}$ constituent une base orthogonale par rapport à la fonction $\\omega(t) = \\frac{1}{\\sqrt{1-t^2}}$ sur l'interval $[-1, 1]$. \n",
    "\n",
    "**Conseil**: Utiliser le changement de variable $t = \\cos(\\theta) $ ainsi que l’egalité $\\nu_n(\\cos(\\theta)) = \\cos(n\\theta) $ propre aux polynômes de Tchebychev."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n",
    "\n",
    "\n",
    "\\begin{equation*} \n",
    "\\begin{split}\n",
    "<\\nu_u, \\nu_v>_w & = \\int_{-1}^{1} \\nu_u(t) \\nu_v(t)^* \\frac{1}{\\sqrt{1-t^2}} \\,dt \\\\\n",
    "& = - \\int_{\\pi}^{0} \\nu_u(\\cos(\\theta)) \\nu_v(\\cos(\\theta)) \\frac{\\sin(\\theta)}{\\sqrt{1-\\cos^2(\\theta)}}\\,d\\theta \\\\\n",
    "& = \\int_{0}^{\\pi} \\nu_u(\\cos(\\theta)) \\nu_v(\\cos(\\theta)) \\,d\\theta \\\\\n",
    "& = \\int_{0}^{\\pi} \\cos(u\\theta) \\cos(v\\theta) \\,d\\theta \\\\\n",
    "& = \\frac{1}{2} \\int_{0}^{\\pi} \\cos((u+v)\\theta) \\cos((u-v)\\theta) \\,d\\theta \\\\\n",
    "& = \\frac{1}{2(u+v)} \\sin((u+v)\\theta) + \\frac{1}{2(u-v)} \\sin((u-v)\\theta)  \\Big|_{0}^{\\pi} \\\\\n",
    "& = \\frac{1}{2(u+v)} \\sin((u+v)\\pi) + \\frac{1}{2(u-v)} \\sin((u-v)\\pi) \\\\\n",
    "& = 0, \\, \\forall u \\neq v \\\\\n",
    "\\end{split}\n",
    "\\end{equation*}\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2. Calculer les coefficients  $\\lambda_{kp}, \\, k,p \\in \\mathrm{N}$ et en déduire $\\Lambda$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n",
    "\n",
    "\n",
    "\\begin{equation*} \n",
    "\\begin{split}\n",
    "\\lambda_{uv} & = <\\nu_u, \\nu_v>_w  \\\\\n",
    "\\\\\n",
    "\\lambda_{uu} & = <\\nu_u, \\nu_u>_w  \\\\\n",
    "& = - \\int_{\\pi}^{0} \\nu_u(\\cos(\\theta)) \\nu_u(\\cos(\\theta)) \\frac{\\sin(\\theta)}{\\sqrt{1-\\cos^2(\\theta)}}\\,d\\theta \\\\\n",
    "& = \\int_{0}^{\\pi} \\cos^2(u\\theta) \\,d\\theta \\\\\n",
    "& = \\frac{1}{2} \\int_{0}^{\\pi} 1 + \\cos(2u\\theta) \\,d\\theta \\\\\n",
    "& = \\frac{1}{2} \\int_{0}^{\\pi} \\,d\\theta + \\int_{0}^{\\pi} \\cos(2u\\theta) \\,d\\theta \\\\\n",
    "& = A + B \\\\\n",
    "& = \\begin{cases}\n",
    "\\pi, \\, u = 0\\\\\n",
    "\\frac{\\pi}{2}, \\, \\text{sinon}.\n",
    "\\end{cases} \\\\\n",
    "\\\\\n",
    "A & = \\frac{\\theta}{2}  \\Big|_{0}^{\\pi} = \\frac{\\pi}{2} \\\\\n",
    "\\\\\n",
    "B & = \\begin{cases}\n",
    "\\frac{1}{2}\\theta\\Big|_{0}^{\\pi} = \\frac{\\pi}{2}, \\, u = 0\\\\\n",
    "\\frac{1}{4u} \\sin(2u\\theta )\\Big|_{0}^{\\pi} = 0, \\, \\text{sinon}.\n",
    "\\end{cases} \\\\\n",
    "\\\\\n",
    "\\Lambda & = \\pi \\, \\text{diag}\\left(\\left[1, \\frac{1}{2}, \\dots,  \\frac{1}{2}\\right]\\right) \\\\\n",
    "\\end{split}\n",
    "\\end{equation*}\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "3. Calculer les coefficients $\\alpha_{k}$ et $\\gamma_{k}, \\, k \\in \\mathrm{N}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n",
    "\n",
    "\n",
    "\\begin{equation*} \n",
    "\\begin{split}\n",
    "\\gamma_{k} & = < x, \\nu_k>_w  \\\\\n",
    "& = \\int_{-1}^{1} x_k(t) \\nu_k(t)^* \\frac{1}{\\sqrt{1-t^2}}\\,dt \\\\\n",
    "& = - \\int_{-1}^{0} \\nu_k(t)^* \\frac{1}{\\sqrt{1-t^2}}\\,dt + \\int_{0}^{1} t^2 \\nu_k(t)^* \\frac{1}{\\sqrt{1-t^2}}\\,dt \\\\\n",
    "& = \\int_{\\pi}^{\\pi/2} \\cos(k\\theta)\\,d\\theta -  \\int_{\\pi/2}^{0} \\cos(k\\theta)\\cos^2(\\theta)\\,d\\theta \\\\\n",
    "& = A + B \\\\\n",
    " & =  \\begin{cases}\n",
    "-\\frac{\\pi}{4}, \\, k = 0\\\\\n",
    "\\frac{\\pi}{8}, \\, k = 2\\\\\n",
    "\\frac{3}{2k} \\sin(\\frac{k\\pi}{2}) + \\frac{1}{4(k+2)} \\sin((k+2)\\frac{\\pi}{2}) + \\frac{1}{4(k-2)} \\sin((k-2)\\frac{\\pi}{2}), \\, \\text{sinon}.\n",
    "\\end{cases} \\\\\n",
    "\\\\\n",
    "A & = \\int_{\\pi}^{\\pi/2} \\cos(k\\theta)\\,d\\theta \\\\\n",
    " & =  \\begin{cases}\n",
    "-\\frac{\\pi}{2}, \\, k = 0\\\\\n",
    "\\frac{1}{k} \\sin(\\frac{k\\pi}{2}), \\, \\text{sinon}.\n",
    "\\end{cases} \\\\\n",
    "\\\\\n",
    "B & = - \\frac{1}{2}  \\int_{\\pi/2}^{0} (1 + \\cos(2\\theta))  \\cos(k\\theta) \\,d\\theta \\\\\n",
    "& = \\frac{1}{2}  \\int_{0}^{\\pi/2}  \\cos(k\\theta) \\,d\\theta + \\frac{1}{4}  \\int_{0}^{\\pi/2}  \\cos((k+2)\\theta) \\,d\\theta+ \\frac{1}{4}  \\int_{0}^{\\pi/2}  \\cos((k-2)\\theta) \\,d\\theta\\\\\n",
    "& = B_1 + B_2 + B_3\\\\\n",
    "\\\\\n",
    "B_1 & = \\begin{cases}\n",
    "\\frac{\\pi}{4}, \\, k = 0\\\\\n",
    "\\frac{1}{2k} \\sin(\\frac{k\\pi}{2}), \\, \\text{sinon}.\n",
    "\\end{cases} \\\\\n",
    "\\\\\n",
    "B_2 & = \\frac{1}{4(k+2)}  \\sin((k+2) \\frac{\\pi}{2}) \\\\\n",
    "\\\\\n",
    "B_3 & = \\begin{cases}\n",
    "\\frac{\\pi}{8}, \\, k = 2\\\\\n",
    "\\frac{1}{4(k-2)} \\sin((k-2)\\frac{\\pi}{2}), \\, \\text{sinon}.\n",
    "\\end{cases} \\\\\n",
    "\\end{split}\n",
    "\\end{equation*}\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "\\begin{equation*} \n",
    "\\begin{split}\n",
    "\\alpha_{k} & = \\Lambda^{-1} \\gamma_k\\\\\n",
    "& =  \\begin{cases}\n",
    "-\\frac{1}{4}, \\, k = 0\\\\\n",
    "\\frac{1}{4}, \\, k = 2\\\\\n",
    "\\frac{2}{\\pi}[\\frac{3}{2k} \\sin(\\frac{k\\pi}{2}) + \\frac{1}{4(k+2)} \\sin((k+2)\\frac{\\pi}{2}) + \\frac{1}{4(k-2)} \\sin((k-2)\\frac{\\pi}{2})], \\, \\text{sinon}.\n",
    "\\end{cases} \\\\\n",
    "\\end{split}\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.2 Application\n",
    "\n",
    "Notre objectif est de reconstruire le signal $x(t)$ en utilisant la base ci-dessus. Dans un premier temps, complétez la fonction `x` ci-dessous. Votre implementation doit passer les tests `assert` au-dessous.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def x(t: np.ndarray):\n",
    "    \"\"\" Evaluate the signal at time t\n",
    "\n",
    "    Parameters\n",
    "    ----------\n",
    "    t : np.ndarray (N, )\n",
    "        Time values\n",
    "        \n",
    "    Return\n",
    "    ------\n",
    "    fx: np.ndarray (N, )\n",
    "        Evaluated function at given times\n",
    "    \"\"\"\n",
    "    \n",
    "    # Empty array \n",
    "    fx = np.zeros_like(t)\n",
    "    \n",
    "    # Function estimation\n",
    "    fx[t < 0] = -1\n",
    "    fx[t >= 0] = t[t >= 0]**2\n",
    "    \n",
    "    return fx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define dummy values to evaluate function\n",
    "t_test = np.array([-1, -0.5, 0, 0.5, 0.8, 1])\n",
    "x_test = x(t=t_test)\n",
    "\n",
    "# Check output with expected terms\n",
    "assert np.all(np.isclose(x_test, [-1, -1, 0, 0.25, 0.64, 1]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "A présent, construisez les termes alphas, calculés plus haut. Votre implementation doit passer les tests `assert` au-dessous.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def alphas(K: int):\n",
    "    \"\"\" Compute the alpha coefs given K.\n",
    "\n",
    "    Parameters\n",
    "    ----------\n",
    "    K : int\n",
    "        Number of coeffs k = [0, ... , K-1]\n",
    "\n",
    "    Returns\n",
    "    -------\n",
    "    alpha: np.ndarray (K, )\n",
    "        Coeffs for a given K.\n",
    "    \"\"\"\n",
    "    \n",
    "    # Index\n",
    "    k = np.arange(0, K)\n",
    "    # Coefficients\n",
    "    alpha = np.zeros_like(k)\n",
    "    \n",
    "    with np.errstate(all='ignore'):\n",
    "        # Termes\n",
    "        b1 = (3/(2*k))*np.sin(k*np.pi/2)\n",
    "        b2 = 1/(4*k+8)*np.sin((k+2)*np.pi/2)\n",
    "        b3 = 1/(4*k-8)*np.sin((k-2)*np.pi/2)\n",
    "        # Additions\n",
    "        alpha = 2/np.pi * (b1 + b2 + b3)\n",
    "        # Cas spécial k=0 et k=2\n",
    "        alpha[0] = - 1/4\n",
    "        alpha[2] = 1/4\n",
    "        \n",
    "    return alpha"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define dummy values to evaluate function\n",
    "a_test = alphas(K=6)\n",
    "\n",
    "# Check output with expected terms\n",
    "assert np.all(np.isclose(a_test, [-0.25, 1.061032, 0.25, -0.127323, 0, 0.115197]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "Tracez la fonction $x(t)$ dans l'interval $[-1, 1]$ ainsi que l'estimation $\\hat{x}(t)$ obtenue en reconstruisant la fonction avec la base de chebychev et leur coefficients. Présenter les résultats pour $k = 5, 10, 50, 200$. De plus, montrez l'erreur de reconstruction entre $x(t)$ et son estimation en fonction du nombre de coefficients $k$. Utilisez une fréquence d'échantillonnage à $f_s = 1000$ [Hz]."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "Ks = [5, 10, 50, 200]\n",
    "fs = 1000 # Number of polynoms to use\n",
    "t = np.linspace(start=-1, stop=1, num=2*fs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<>:14: SyntaxWarning: invalid escape sequence '\\h'\n",
      "<>:27: SyntaxWarning: invalid escape sequence '\\h'\n",
      "<>:14: SyntaxWarning: invalid escape sequence '\\h'\n",
      "<>:27: SyntaxWarning: invalid escape sequence '\\h'\n",
      "/var/folders/b_/k3pmjy7x07x6t1ckb4k9tyyw0000gn/T/ipykernel_5954/3781554896.py:14: SyntaxWarning: invalid escape sequence '\\h'\n",
      "  axes[1].plot(t, x_, label='$\\hat{x}(t)$, ' + '$k={}$'.format(K), linewidth=2)\n",
      "/var/folders/b_/k3pmjy7x07x6t1ckb4k9tyyw0000gn/T/ipykernel_5954/3781554896.py:27: SyntaxWarning: invalid escape sequence '\\h'\n",
      "  axes[2].semilogy(K_error, errs, label='error = $||x - \\hat{x}||^2$')\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x11b6a1580>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1500x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot results\n",
    "_, axes = plt.subplots(1, 3, figsize=(15, 5))\n",
    "\n",
    "# Base function\n",
    "axes[0].plot(t, x(t), c='k', linewidth=3, label='$x(t)$')\n",
    "axes[0].set_title('$x(t)$')\n",
    "axes[0].set_xlabel('Time [s]')\n",
    "axes[0].legend()\n",
    "\n",
    "# Approximation\n",
    "axes[1].plot(t, x(t), c='k', linewidth=3, label=\"$x(t)\")\n",
    "for K in Ks:\n",
    "    x_ = chebval(x=t, c=alphas(K))\n",
    "    axes[1].plot(t, x_, label='$\\hat{x}(t)$, ' + '$k={}$'.format(K), linewidth=2)\n",
    "    \n",
    "axes[1].set_title('Approximation - Chebychev')\n",
    "axes[1].set_xlabel('Time [s]')\n",
    "axes[1].legend()\n",
    "\n",
    "# Evaluation of the error as a function of K\n",
    "errs = []\n",
    "K_error = np.arange(Ks[0], Ks[-1])\n",
    "for K in K_error:\n",
    "    x_ = chebval(x=t, c=alphas(K))\n",
    "    errs.append(np.mean((x(t) - x_)**2))\n",
    "    \n",
    "axes[2].semilogy(K_error, errs, label='error = $||x - \\hat{x}||^2$')\n",
    "axes[2].set_title('Reconstruction error')\n",
    "axes[2].set_ylabel('Error')\n",
    "axes[2].set_xlabel('K')\n",
    "axes[2].legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5. Orthonormalisation de Gram-Schmidt\n",
    "\n",
    "### 5.1 Théorie"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Considérons les signaux suivants $\\{ s_{n} (t) \\}$, $n \\in  \\{0, 1, 2, \\ldots \\}$, avec\n",
    "\n",
    "\\begin{equation*}\n",
    "\ts_n (t) = t ^{n} \\left( \\text{sgn}(t) + \\left( -1 \\right) ^{n} \\cdot \\text{sgn} (t) + 1 \\right), \\quad t \\in [-1, 1] \\subset \\mathcal{R}.\n",
    "\\end{equation*}\n",
    "\n",
    "\n",
    "1. Est-ce que les signaux $\\{ s_n (t) \\}$ forment une base orthonormale? Justifiez votre réponse."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n",
    "\n",
    "\\begin{equation*}\n",
    "\n",
    "\\begin{split}\n",
    "\t\t < s _{1} (t), s _{3} (t)>  & =  \\int _{-1} ^{1} t \\cdot t ^{3} dt \\\\ \n",
    "\t\t & = \\int _{-1} ^{1} t ^{4} dt \\\\\n",
    "\t\t & = \\frac{2}{5} \\neq  0 \\\\ \n",
    "\n",
    "\\end{split}\n",
    "\\end{equation*}\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2. Considérons uniquement le signal $s_n (t)$ avec $n = 0, 1, 2$. A l'aide de l'algorithme de Gram-Schmidt, calculez une base orthonormale pour l'espace vectoriel formé par les trois signaux."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n",
    "\n",
    "Les signaux sont $s_0(t) = 2 \\text{sgn}(t) + 1$, $s_1(t) = t$, et $s_2(t) = t^2 (2\\text{sgn}(t) + 1)$. La base $\\phi_n$ est formée des fonctions suivantes:\n",
    "\n",
    "$$ \\left[\\phi_0, \\phi_1, \\phi_2 \\right] = \\left[ \\frac{\\phi_0'(t)}{\\sqrt{E_0}}, \\frac{\\phi_1'(t)}{\\sqrt{E_1}}, \\frac{\\phi_2'(t)}{\\sqrt{E_2}} \\right] $$\n",
    "\n",
    "\n",
    "Les vecteurs sont définis comme suit:\n",
    "\n",
    "\\begin{equation*}\n",
    "\\begin{split}\n",
    "\t\t\\phi_0'(t)  & = 2\\text{sgn}(t) + 1 \\\\ \n",
    "\t\t\\\\\n",
    "\t\t E_0  & = \\lvert\\lvert \\phi_0' (t) \\rvert\\rvert^2  \\\\ \n",
    "\t\t & = \\int _{-1} ^{1} (2 \\text{sgn}(t) + 1) ^{2} \\,dt \\\\\n",
    "\t\t & = \\int _{-1} ^{1} 4 + 4 \\text{sgn}(t) + 1 \\,dt \\\\\n",
    "\t\t & = 10 + 0 = 10 \\\\ \n",
    "\t\t\\\\\n",
    "\t\t\\phi_0(t)  & = \\frac{1}{\\sqrt{10}} (2 \\text{sgn}(t) + 1) \\\\ \n",
    "\\end{split}\n",
    "\\end{equation*}\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "Puis, \n",
    "\n",
    "\\begin{equation*}\n",
    "\\begin{split}\n",
    "\t\t\\phi_1'(t)  & = s_1(t) - <s_1(t), \\phi_0(t)> \\phi_0(t) \\\\ \n",
    "\t\t & = s_1(t) - A \\phi_0(t) \\\\  \n",
    "\t\t & = t - \\sqrt{\\frac{2}{5}} \\left( \\frac{1}{\\sqrt{10}} (2 \\text{sgn}(t) + 1) \\right)  \\\\ \n",
    "\t\t & =  t - \\frac{1}{5}(2 \\text{sgn}(t) + 1) \\\\ \n",
    "\t\t\\\\\n",
    "\t\tA & = \\frac{1}{\\sqrt{10}} \\int _{-1} ^{1} t (2 \\text{sgn}(t) + 1) \\,dt \\\\\n",
    "\t\t& = \\frac{1}{\\sqrt{10}} \\left(\\int _{-1}^{1} 2t \\,\\text{sgn}(t) \\,dt + \\int _{-1}^{1} t \\,dt \\right) \\\\\n",
    "\t\t& = \\frac{1}{\\sqrt{10}} (2 + 0)  \\\\\n",
    "\t\t& = \\frac{\\sqrt{2}}{\\sqrt{5}}   \\\\\n",
    "\t\t\\\\\n",
    "\t\tE_1 & =  \\lvert\\lvert \\phi_1' (t)\\rvert\\rvert \\,dt \\\\ \n",
    "\t\t & =  \\int _{-1} ^{1} (t - \\frac{1}{5}(2 \\text{sgn}(t) + 1))^2 \\,dt \\\\ \n",
    "\t\t & =  \\int _{-1} ^{1} t^2 \\,dt + \\frac{1}{25} \\int _{-1}^{1} 5 + 4 \\text{sgn}(t) \\,dt -\\frac{2}{5} \\int _{-1}^{1} t (2 \\text{sgn}(t) + 1)  \\,dt  \\\\ \n",
    "\t\t & = \\frac{2}{3} + \\frac{1}{25}(10 + 0) - \\frac{2}{5} (2 + 0) \\\\\n",
    "\t\t & = \\frac{4}{15} \\\\\n",
    "\t\t\\\\\n",
    "\t\t\\phi_1(t) & =  \\frac{\\sqrt{15}}{10}(5t - 2 \\text{sgn}(t) -1) \\\\\n",
    "\\end{split}\n",
    "\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "Finalement, \n",
    "\n",
    "\\begin{equation*}\n",
    "\\begin{split}\n",
    "\t\t\\phi_2'(t)  & = s_2(t) - <s_2(t), \\phi_0(t)> \\phi_0(t) - <s_2(t), \\phi_1(t)> \\phi_1(t)  \\\\\n",
    "\t\t= &  s_2(t) - A\\phi_0(t) - B \\phi_1(t) \\\\\n",
    "\t\t= &  t^2 (2 \\text{sgn}(t) + 1) - \\frac{\\sqrt{10}}{3\\sqrt{10}} (2*\\text{sgn}(t) + 1) - \\frac{\\sqrt{15}\\sqrt{15}}{6 \\cdot 10} (5t - 2 \\text{sgn}(t) - 1) \\\\\n",
    "\t\t= &  \\frac{1}{12}\\left[ 24t^2 \\text{sgn}(t) - 2 \\text{sgn}(t) + 12t^2 - 15t - 1 \\right] \\\\\n",
    "\t\t\\\\\n",
    "\t\tA & = <s_2(t), \\phi_0(t)> \\\\\n",
    "\t\t& = \\frac{1}{\\sqrt{10}} \\int _{-1} ^{1} t^2 (2 \\text{sgn}(t) + 1)^2 \\,dt \\\\\n",
    "\t\t& = \\frac{1}{\\sqrt{10}} \\int _{-1} ^{1} 5t^2 + 4t^2 \\text{sgn}(t) \\,dt \\\\\n",
    "\t\t& = \\frac{1}{\\sqrt{10}} (\\frac{10}{3} + 0) = \\frac{\\sqrt{10}}{3} \\\\\n",
    "\t\t\\\\\n",
    "\t\tB & = <s_2(t), \\phi_1(t)> \\\\\n",
    "\t\t&= \\frac{\\sqrt{15}}{10} \\int _{-1} ^{1} t^2 (2 \\text{sgn}(t) + 1)(5t - 2\\text{sgn}(t) - 1) \\,dt \\\\\n",
    "\t\t&= \\frac{\\sqrt{15}}{10} \\int _{-1} ^{1} 10t^3 \\, \\text{sgn}(t) + 5t^3 - 4 t^2 \\text{sgn}(t) - 5t^2 \\,dt \\\\\n",
    "\t\t&= \\frac{\\sqrt{15}}{10} (\\frac{10}{2} + 0 - 0 - \\frac{10}{3} ) \\\\\n",
    "\t\t&= \\frac{\\sqrt{15}}{6}  \\\\\n",
    "\t\t\\\\\n",
    "\t\tE_2 & =  \\frac{1}{12^2} \\int _{-1} ^{1} \\left[ 24t^2 \\text{sgn}(t) - 2 \\text{sgn}(t) + 12t^2 - 15t - 1 \\right]^2 \\\\\n",
    "\t\t& = \\frac{1}{12^2} \\int _{-1} ^{1} 720t^4 + 129t^2 + 5 − 360t^3 \\text{sgn}(t) + 60t \\text{sgn}(t) \\\\\n",
    "\t\t& = ... \\\\\n",
    "\t\t& = \\frac{68}{12^2} = \\frac{17}{36} \\\\\n",
    "\t\t\\\\\n",
    "\t\t\\phi_2(t) & =  \\frac{1}{2\\sqrt{17}}\\left[ 24t^2 \\text{sgn}(t) - 2 \\text{sgn}(t) + 12t^2 - 15t - 1 \\right] \\\\\n",
    "\t\t\\\\\n",
    "\\end{split}\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3. Donnez une représentation vectorielle des signaux $s_n (t)$, $n = 0, 1, 2$, par rapport à la base orthonormale calculée précédemment.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n",
    "\n",
    "La représentation vectorielle des signaux $s_i(t), i \\in \\{0, 1, 2\\}$, par rapport à la base orthonormale est:\n",
    "\n",
    "\n",
    "$$[<s_i(t), \\phi_0(t)> \\qquad <s_i(t), \\phi_1(t)> \\qquad <s_i(t), \\phi_2(t)>]^{\\top}$$\n",
    "\n",
    "Donc\n",
    "\n",
    "$$s_0(t): [\\sqrt{10} \\qquad 0 \\qquad 0]^{\\top}$$\n",
    "$$s_1(t): [\\sqrt{\\frac{2}{5}} \\qquad \\frac{2}{\\sqrt{15}} \\qquad 0]^{\\top}$$\n",
    "$$s_2(t): [\\frac{\\sqrt{10}}{3} \\qquad \\frac{\\sqrt{15}}{6} \\qquad \\frac{\\sqrt{17}}{6}]^{\\top}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.2 Implementation\n",
    "\n",
    "Dans un premier temps, tracez les fonctions $s_n(t)$ pour $n={0, 1, 2}$ dans l'interval $[-1, 1]$ en utilisant une fréquence d'échantillonnage $f_s = 10,000$ [Hz]. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Definie la fonction dans l'intervalle [-1, 1]\n",
    "fs = 10000\n",
    "t = np.linspace(start=-1, stop=1, num=2*fs, endpoint=False)\n",
    "\n",
    "# Base function sn\n",
    "N = 3\n",
    "sn = lambda t, n : t**n * ( np.sign(t) + (-1)**n * np.sign(t) + 1)\n",
    "Sn = np.array([sn(t, i) for i in range(N)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x11b1c0170>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 1500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the first elements of the basis\n",
    "_, axes = plt.subplots(nrows=1, ncols=1, figsize=(15, 4))\n",
    "\n",
    "for i in range(N):\n",
    "    # Plot it\n",
    "    plt.plot(t, Sn[i], label=\"$s_{}(t)$\".format(i))\n",
    "    \n",
    "axes.set_title(\"$s_n(t)$\")\n",
    "axes.set_xlabel(\"time t\")\n",
    "axes.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "À présent, implémentez une fonction qui contrôle l'orthonormalité de vos fonctions. Celle-ci doit prendre en entrée une base de signaux et retourner un boolean (True/False) qui indique si la base est orthonormale. Vérifiez si la base $s_n(t)$ est orthonormale pour $n = {0, 1, 2}$.\n",
    "\n",
    "\n",
    "**Attention**: Dans la partie théorique, nous utilisons une intégrale pour calculer l'orthonormalité des deux fonctions. En discrétisant, nous obtenons l'estimation pour une fréquence de sampling $f_s$:\n",
    "\n",
    "$$\\int_{a}^{b} x_1(t) \\cdot x_2(t) dt \\simeq \\frac{1}{f_s}  \\sum_{t=a}^{b}  x_1(t) \\cdot x_2(t) $$\n",
    "\n",
    "Par conséquent, le résultat doit être normalisé par un facteur $f_s$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "def orthocheck(B: np.ndarray, fs: int):\n",
    "    \"\"\" This function check if the given base is orthonormal\n",
    "\n",
    "    Parameters\n",
    "    ----------\n",
    "    B : np.ndarray (b, t)\n",
    "        Base to check with b vectors and t times\n",
    "\n",
    "    Returns\n",
    "    -------\n",
    "    Boolean\n",
    "        True if base is orthonormal, False otherwise\n",
    "    \"\"\"\n",
    "    \n",
    "    # Check projection of base\n",
    "    G = (B @ B.T) / fs - np.eye(B.shape[0])\n",
    "\n",
    "    # The matrix should be empty\n",
    "    is_ortho = np.all(np.isclose(G, 0, atol=1e-3))\n",
    "    \n",
    "    return is_ortho"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The base orthonormal: False\n"
     ]
    }
   ],
   "source": [
    "# Build base\n",
    "is_ortho = orthocheck(B=Sn, fs=fs)\n",
    "print(\"The base orthonormal: {}\".format(is_ortho))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Implémentez la base $\\phi_n$ pour $n={0, 1, 2}$, tracez-là et contrôlez son orthonormalité."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Base vectors\n",
    "phi0 = (1/np.sqrt(10)) * (2*np.sign(t)+1)\n",
    "phi1 = (np.sqrt(15)/10) * (5*t - 2*np.sign(t) - 1)\n",
    "phi2 = (1/(2*np.sqrt(17)))*(24*t**2*np.sign(t)-2*np.sign(t) + 12 * t**2 - 15*t - 1)\n",
    "# Base\n",
    "Phi = np.array([phi0, phi1, phi2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<>:6: SyntaxWarning: invalid escape sequence '\\p'\n",
      "<>:8: SyntaxWarning: invalid escape sequence '\\p'\n",
      "<>:6: SyntaxWarning: invalid escape sequence '\\p'\n",
      "<>:8: SyntaxWarning: invalid escape sequence '\\p'\n",
      "/var/folders/b_/k3pmjy7x07x6t1ckb4k9tyyw0000gn/T/ipykernel_5954/3345161977.py:6: SyntaxWarning: invalid escape sequence '\\p'\n",
      "  plt.plot(t, Phi[i], label=\"$\\phi_{}(t)$\".format(i))\n",
      "/var/folders/b_/k3pmjy7x07x6t1ckb4k9tyyw0000gn/T/ipykernel_5954/3345161977.py:8: SyntaxWarning: invalid escape sequence '\\p'\n",
      "  axes.set_title(\"$\\phi_n(t)$\")\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1180811f0>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the first elements of the basis\n",
    "_, axes = plt.subplots(nrows=1, ncols=1, figsize=(15, 4))\n",
    "\n",
    "for i in range(N):\n",
    "    # Plot it\n",
    "    plt.plot(t, Phi[i], label=\"$\\phi_{}(t)$\".format(i))\n",
    "    \n",
    "axes.set_title(\"$\\phi_n(t)$\")\n",
    "axes.set_xlabel(\"Time [s]\")\n",
    "axes.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The base orthonormal: True\n"
     ]
    }
   ],
   "source": [
    "# Build base\n",
    "is_ortho = orthocheck(B=Phi, fs=fs)\n",
    "print(\"The base orthonormal: {}\".format(is_ortho))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.3 Algorithm \n",
    "\n",
    "L'un des avantages de Gram-Schmidt est qu'il peut être implementé numériquement. \n",
    "\n",
    "Implémentez la fonction `gram_schmidt(...)`, qui prend la matrice $S$ en entrée et applique l'algorithme de Gram-Schmidt aux signaux $s_n(t)$ et estime la nouvelle base orthonormée $\\phi_n(t)$ pour n=10.\n",
    "\n",
    "Il s'avère que la procédure de Gram-Schmidt que nous avons introduite dans le cours souffre d'instabilité numérique : les erreurs d'arrondi peuvent s'accumuler et détruire l'orthogonalité des vecteurs résultants. C'est pourquoi une procédure Gram-Schmidt modifiée est introduite pour aider à remédier à ce problème.\n",
    "\n",
    "```\n",
    "def gram_schmidt(S):\n",
    "\n",
    "    # Initialize vectors \n",
    "    for j = 1:n\n",
    "        bj=sj\n",
    "        \n",
    "    # Compute new base\n",
    "    for j=1:n\n",
    "    \n",
    "        # Substract previous projections\n",
    "        for k = 1:j\n",
    "            bj = bj − (sj' bk) bk\n",
    "\n",
    "        # Normalize term\n",
    "        bj = bj / ‖bj‖\n",
    "\n",
    "return B\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "def gram_schmidt(S: np.ndarray):\n",
    "    \"\"\" Normalize base\n",
    "\n",
    "    Parameters\n",
    "    ----------\n",
    "    S : np.ndarray(n, t)\n",
    "        Original base to normalize\n",
    "\n",
    "    Returns\n",
    "    -------\n",
    "    B: np.ndarray(n, t)\n",
    "        Normalized base\n",
    "    \"\"\"\n",
    "    \n",
    "    # Init base\n",
    "    n, _ = S.shape\n",
    "    B = np.copy(S)\n",
    "    \n",
    "    # Iterate over base elements\n",
    "    for j in range(n):\n",
    "        # Reduce other terms\n",
    "        for k in range(0, j):\n",
    "            B[j] = B[j] - (S[j] @ B[k]) * B[k]\n",
    "        # Normalization\n",
    "        B[j] = B[j] / np.linalg.norm(B[j])\n",
    "    \n",
    "    # Return values\n",
    "    return B\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 3\n",
    "S = np.array([sn(t, i) for i in range(n)])\n",
    "B = gram_schmidt(S=S)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<>:5: SyntaxWarning: invalid escape sequence '\\p'\n",
      "<>:10: SyntaxWarning: invalid escape sequence '\\p'\n",
      "<>:5: SyntaxWarning: invalid escape sequence '\\p'\n",
      "<>:10: SyntaxWarning: invalid escape sequence '\\p'\n",
      "/var/folders/b_/k3pmjy7x07x6t1ckb4k9tyyw0000gn/T/ipykernel_5954/1860516904.py:5: SyntaxWarning: invalid escape sequence '\\p'\n",
      "  axes[1].plot(t, B[i], label=\"$\\phi_{}(t)$\".format(i))\n",
      "/var/folders/b_/k3pmjy7x07x6t1ckb4k9tyyw0000gn/T/ipykernel_5954/1860516904.py:10: SyntaxWarning: invalid escape sequence '\\p'\n",
      "  axes[1].set_title(\"$\\phi_n(t)$\")\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, axes = plt.subplots(1, 2, figsize=(15, 4))\n",
    "\n",
    "for i in range(n):\n",
    "    axes[0].plot(t, S[i], label=\"$s_{}(t)$\".format(i))\n",
    "    axes[1].plot(t, B[i], label=\"$\\phi_{}(t)$\".format(i))\n",
    "\n",
    "axes[0].set_xlabel(\"time [s]\")\n",
    "axes[0].set_title(\"$s_n(t)$\")\n",
    "axes[1].set_xlabel(\"time [s]\")\n",
    "axes[1].set_title(\"$\\phi_n(t)$\")\n",
    "_ = [a.legend() for a in axes]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Considérons le signal $f(t)$ défini comme :\n",
    "    \n",
    "$$\n",
    "f\\left(t\\right) = t^2 + \\frac{1}{2}\\sum_{i=0}^2 (-1)^i * \\text{rect}(t(i+1)) \n",
    "$$\n",
    "\n",
    "\n",
    "Projetez $f(t)$ sur la base $\\phi_i\\left(n\\right)$, $i \\in {1,2,...,K}$ avec $K \\in [1, 2, 5, 10, 20, 30]$. Tracez le signal $f(t)$ et ses approximations $\\hat{f}_K\\left(n\\right)$ pour $K \\in [1, 2, 5, 10, 20, 30]$ et commentez ce que vous obtenez.\n",
    "\n",
    "L'erreur de reconstruction entre $f(n)$ et $\\hat{f}_K$ est mesurée à l'aide de l'erreur quadratique moyenne (*MSE*) et est définie comme\n",
    "$$\n",
    "MSE\\left(K\\right) = \\frac{1}{N}\\left|\\left|f -  \\hat{f}_K\\right|\\right|^2\n",
    "$$\n",
    "\n",
    "Tracez l'évolution de l'erreur quadratique moyenne par rapport à $K$ et commentez ce que vous observez."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n",
    "\n",
    "Les deux figures ci-dessus montrent le signal échantillonné $f(t)$ et son approximation $f_K(t)$ en utilisant $K \\in \\{1, 2, 5, 10, 20, 30\\} $ base orthonormée. On peut voir que l'utilisation d'une base plus large pour l'approximation conduit à un ajustement plus étroit.\n",
    "\n",
    "Le dernier chiffre donne les évolutions de l'erreur de reconstruction par rapport au nombre de bases utilisées pour effectuer l'approximation. Il confirme à nouveau ce qui a été observé précédemment, l'ajout de plus de bases et donc de plus de fréquences conduit à une meilleure reconstruction.\n",
    "\n",
    "Cependant, on observe également que si la base n'est pas adaptée, la reconstruction finira par ajouter des effets de bord sur la fonction estimée. Par conséquent, choisir un $K$ très élevé n'est pas forcément une bonne idée.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define rect function and fn\n",
    "rect = lambda t: (np.abs(t) < 0.5).astype(float)\n",
    "f = t**2 + 4*t**3 + 2*np.sign(t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<>:23: SyntaxWarning: invalid escape sequence '\\h'\n",
      "<>:23: SyntaxWarning: invalid escape sequence '\\h'\n",
      "/var/folders/b_/k3pmjy7x07x6t1ckb4k9tyyw0000gn/T/ipykernel_5954/2460941829.py:23: SyntaxWarning: invalid escape sequence '\\h'\n",
      "  axes[0].plot(t, fk[0], \"--\", label=\"$\\hat{f}_K$\" + \", K={}\".format(K))\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define Ks\n",
    "Ks = [1, 2, 5, 10, 20, 30]\n",
    "# Build bases for largest K\n",
    "S = np.array([sn(t, i) for i in range(np.max(Ks))])\n",
    "B = gram_schmidt(S=S)\n",
    "\n",
    "_, axes = plt.subplots(nrows=1, ncols=2, figsize=(15, 5))\n",
    "\n",
    "# Base plot\n",
    "axes[0].plot(t, f, label=\"f(t)\")\n",
    "axes[0].set_title(\"Reconstructed functions\")\n",
    "axes[0].set_xlabel(\"time [s]\")\n",
    "\n",
    "eks = []\n",
    "for K in Ks:\n",
    "    # Project signal on ortho basis\n",
    "    coef = f[None, :] @ B[:K].T\n",
    "    # Reconstruct with basis\n",
    "    fk = coef @ B[:K, :]\n",
    "    ek = np.mean((f - fk)**2)\n",
    "    eks.append(ek)\n",
    "    # Plot estimation\n",
    "    axes[0].plot(t, fk[0], \"--\", label=\"$\\hat{f}_K$\" + \", K={}\".format(K))\n",
    "\n",
    "# Plot error\n",
    "axes[1].plot(Ks, eks, \"-*\")\n",
    "axes[1].set_xlabel(\"K\")\n",
    "axes[1].set_title(\"Reconstruction errors\")\n",
    "_ = axes[0].legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6. Propriétés de la Transformée de Fourier\n",
    "\n",
    "Calculez sa transformée de Fourier de la fonction: \n",
    "\n",
    "$$ x(t) = \\cos{(4 \\pi t - \\frac{\\pi}{2})} \\sin{(4 \\pi t)^2} \\cos{(2 \\pi t)} \\exp{(2 j\\pi t)} $$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n",
    "\n",
    "\n",
    "\\begin{equation*} \n",
    "\\begin{split}\n",
    "x(t) & = \\cos{(4 \\pi t - \\frac{\\pi}{2})} \\sin{(4 \\pi t)^2} \\cos{(2 \\pi t)} \\exp{(2 j\\pi t)} \\\\\n",
    "&=\\sin{(4 \\pi t)^3} \\cos{(2 \\pi t)} \\exp{(2 j\\pi t)}\\\\\n",
    "\\\\\n",
    "\\mathcal{F}\\{x\\}(f) & = \\mathcal{F}\\{\\sin{(4 \\pi t)^3}\\} \\ast \\mathcal{F}\\{\\cos{(2 \\pi t)}\\} \\ast \\mathcal{F}\\{\\exp{(2 j\\pi t)}\\} \\\\\n",
    " & = A \\ast B \\ast C \\\\\n",
    " & = -\\frac{j}{16} [\\delta(k+6) + \\delta(k+4) - 3 \\delta(k+2) - 3 \\delta(k)  \\\\ \n",
    " & + 3 \\delta(k-2) + 3 \\delta(k-4) - \\delta(k-6) - \\delta(k-8)\n",
    " \\\\\n",
    " \\\\\n",
    " A &= \\mathcal{F}\\{\\sin{(4 \\pi t)^3}\\} \\\\\n",
    " &= \\mathcal{F}\\{(\\frac{e^{j4\\pi t} - e^{-j4\\pi t}}{2j})^3\\} \\\\ \n",
    " &= \\mathcal{F}\\{(\\frac{1}{2j})^3 (e^{j12\\pi t} - e^{-j12\\pi t} - 3e^{j4\\pi t} + 3 e^{-j4\\pi t}) \\}\\\\\n",
    " &= \\mathcal{F}\\{(\\frac{1}{2j})^2 (\\sin{(12 \\pi t)} - 3\\sin{(4 \\pi t))} \\} \\\\\n",
    " &= \\mathcal{F}\\{-\\frac{1}{4} \\sin{(12 \\pi t)} + \\frac{3}{4} \\sin{(4 \\pi t))} \\} \\\\\n",
    " &= -\\frac{j}{8} [\\delta(k+6) - \\delta(k-6) - 3\\delta(k+2) + 3\\delta(k-2)] \\\\\n",
    " \\\\\n",
    " B &= \\mathcal{F}\\{\\cos{(2 \\pi t)}\\} \\\\\n",
    " &= \\frac{1}{2} [\\delta(k+1) + \\delta(k-1)] \\\\ \n",
    "  \\\\\n",
    " C &= \\mathcal{F}\\{\\exp{(2 j\\pi t)}\\} \\\\\n",
    "  & =  \\delta(k-1) \\\\\n",
    "\\end{split}\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Verifiez votre réponse numériquement. Utilisez une fréquence d'échantillonnage $f_s=100$ Hz sur l'interval $t\\in [0, 1]$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center style=\"color:red\">Corrections</center>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "fs = 100\n",
    "t = np.linspace(0, 1, num=fs, endpoint=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Get signal\n",
    "xa = np.cos(4*np.pi*t - np.pi /2)*np.sin(4*np.pi*t)**2\n",
    "xb = np.cos(2*np.pi*t)\n",
    "xc = np.exp(2j*np.pi*t)\n",
    "x = xa * xb * xc\n",
    "\n",
    "# Get FFT\n",
    "X = np.fft.fftshift(np.fft.fft(x)) / len(t)\n",
    "f = np.linspace(-fs/2, fs/2, num=len(t), endpoint=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x800 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "# Plot both components\n",
    "_, axes = plt.subplots(nrows=3, ncols=1, figsize=(15, 8))\n",
    "axes[0].plot(t, np.real(x), label=\"real\")\n",
    "axes[0].plot(t, np.imag(x), label=\"imag\")\n",
    "axes[0].set_title(\"Temporal signal $x(t)$\")\n",
    "axes[0].set_xlabel(\"Time [s]\")\n",
    "axes[0].legend(loc=1)\n",
    "\n",
    "# FFT Real\n",
    "axes[1].stem(f, np.real(X), label=\"real\")\n",
    "axes[1].set_ylim([-0.3, 0.3])\n",
    "axes[1].set_title(\"FFT Real part\")\n",
    "axes[1].set_xlabel(\"Frequency [Hz]\")\n",
    "\n",
    "\n",
    "# FFT Imag\n",
    "axes[2].hlines(3/16, xmin=f[0], xmax=f[-1], ls='--', color='k', label=r\"$j\\frac{3}{16}$\")\n",
    "axes[2].hlines(1/16, xmin=f[0], xmax=f[-1], ls='-.', color='k', label=r\"$j\\frac{1}{16}$\")\n",
    "axes[2].stem(f, np.imag(X), label=\"imag\")\n",
    "axes[2].set_ylim([-0.3, 0.3])\n",
    "axes[2].set_title(\"FFT Imaginary part\")\n",
    "axes[2].set_xlabel(\"Frequency [Hz]\")\n",
    "axes[2].legend(loc=1)\n",
    "\n",
    "plt.tight_layout()"
   ]
  }
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