{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Some Complex Fourier Series Examples\n",
    "The Complex Fourier Series for $x(t) = x(t + T_0)$ is: $$ x(t) = x(t+T_0) = \\sum_{n=-\\infty}^{\\infty} c_n e^{j2\\pi nt/T_0}$$\n",
    "You find the coefficients, $c_n$ by taking the inner product of both sides with $e^{j2\\pi mt/T_0}$ on both sides of the equation and solving for the $c_m$ using the ortogonality of the complex exponentials.  If you want more information there is a handout on [fweb](https://fweb.wallawalla.edu/~frohro/ClassHandouts/Signals/Fourier%20Series.pdf) and there is a better copy at [issuu](https://issuu.com/aria_ini/docs/schaum-advanced-mathematics-for-eng_991f7ab12c12b4) with the whole book, and it could be useful for this class.  See the chapters on [Fourier Series and Integrals](https://fweb.wallawalla.edu/~frohro/ClassHandouts/Signals/Fourier%20Series%20and%20Integrals,%20by%20Spiegel.pdf).\n",
    "## Finding the $c_n$ for an Even Function, Like $x(t) = sgn(cos(t))+1$\n",
    "The period, $T_0 = 2\\pi$.  The formula for the coefficients found using the ideas above is: $$c_m = 1/T_0 \\int_{0}^{T_0} x(t)e^{-j2\\pi mt/T_0} dt = 1/T_0 \\int_{-T_0/2}^{T_0/2} x(t)e^{-j2\\pi mt/T_0} dt $$ $$ = 1/(2\\pi) \\int_{-\\pi/2}^{\\pi/2} 2e^{-j2\\pi mt/(2\\pi)} dt= 1/(2\\pi) \\int_{-\\pi/2}^{\\pi/2} 2e^{-j mt} dt$$  For $m=0$, $c_0 = 1$, and for $m\\ne 0$, $$c_m = 2/(j2\\pi m) \\left[e^{jm\\pi/2} -e^{-jm\\pi/2} \\right] = 2/(\\pi m) sin(m \\pi /2)$$\n",
    "so the Complex Fourier Series is: $$\\sum_{n=-\\infty}^{\\infty} c_n e^{j nt} = \\sum_{n=1, 3, 5,...}^{\\infty} \\frac{4}{\\pi n} cos(nt)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Python script to calculate and plot the Fourier Series for sgn(cos(t))+1\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.rcParams['figure.figsize'] = [18, 5]\n",
    "\n",
    "t = np.arange(-2*np.pi,2*np.pi, 0.02)\n",
    "plt.plot(t, np.sign(np.cos(t))+1, t, np.ones(np.size(t)), t, 4/np.pi*np.cos(t), t, 4/5/np.pi*np.cos(5*t), \n",
    "         t, 4/7/np.pi*np.cos(7*t), t, \n",
    "         1 + 4/np.pi*np.cos(t) - 4/3/np.pi*np.cos(3*t) + 4/5/np.pi*np.cos(5*t) + 4/7/np.pi*np.cos(7*t))\n",
    "plt.legend(['Square wave', 'DC term', 'Fundamental', 'Third harmonic','Fifth harmonic', \n",
    "            'Sum up to fifth harmonic'])\n",
    "plt.xlabel('Time (s)')\n",
    "plt.title('Fourier Series of sgn(cos(t))+1')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Approximating the Complex Fourier Series Coefficients using the DFT\n",
    "A rectangular integral approximation of the integral for $c_n$ yields a useful approximation for the complex Fourier series coefficients.  This is even more valuable as an interpretation of the DFT.  Start by sampling (measuring) one period of $x(t)$ every $T$ seconds, with $N$ samples, so you have $x(kT)$ so $T_0 = NT$.  Then use those samples to approximate the $c_n$ as follows.  $$c_n = 1/T_0 \\int_{0}^{T_0} x(t) e^{j2\\pi nt/T_0} dt \\approx 1/T_0\\sum_{k=0}^{N-1} x(kT)e^{-j2\\pi nkT/T_0} T$$ $$= 1/NT \\sum_{k=0}^{N-1} x(kT)e^{-j2\\pi nkT/NT} T$$ $$ =1/N \\sum_{k=0}^{N-1} x(kT)e^{-j2\\pi nk/N} = 1/N X(n)$$"
   ]
  },
  {
   "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": "3.7.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
