{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Leakage in the DFT\n",
    "\n",
    "The DFT assumes that the signal in time is periodic with period $NT$.  This means the signal has ony frequencies than are also periodic with this same period, $f = n/{NT}$ where $n \\in \\left\\{0, 1, 2, ..., N/2\\right\\}$ for $n$ even, or $n \\in \\left\\{0, 1, 2, ..., (N-1)/2\\right\\}$ for $n$ odd.  Usually the song we are digitizing is not really periodic, but we add some zeros on either end of the song and think of it as being periodic when we take the DFT.  What really happens after the song was sung is likely much different.  The exact frequencies in the song are certainly not exactly the discrete frequencies we specified by saying the song was periodic, as there are an infinite number of frequencies in between each harmonic frequency we allowed.  Let's investigate this more with some pyhton."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n is even and is:  [-50. -49. -48. -47. -46. -45. -44. -43. -42. -41. -40. -39. -38. -37.\n",
      " -36. -35. -34. -33. -32. -31. -30. -29. -28. -27. -26. -25. -24. -23.\n",
      " -22. -21. -20. -19. -18. -17. -16. -15. -14. -13. -12. -11. -10.  -9.\n",
      "  -8.  -7.  -6.  -5.  -4.  -3.  -2.  -1.   0.   1.   2.   3.   4.   5.\n",
      "   6.   7.   8.   9.  10.  11.  12.  13.  14.  15.  16.  17.  18.  19.\n",
      "  20.  21.  22.  23.  24.  25.  26.  27.  28.  29.  30.  31.  32.  33.\n",
      "  34.  35.  36.  37.  38.  39.  40.  41.  42.  43.  44.  45.  46.  47.\n",
      "  48.  49.]\n",
      "fftshift of k is :  [50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73\n",
      " 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97\n",
      " 98 99  0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21\n",
      " 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45\n",
      " 46 47 48 49]\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1296x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "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": [
    "# This demo is to show what happens if we pick a frequency right\n",
    "# in between two allowed frequencies.\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "T = 1/8000\n",
    "N = 100\n",
    "T_0 = N*T\n",
    "n_h = 10\n",
    "\n",
    "k = np.arange(0, N)\n",
    "t = k*T\n",
    "if N % 2 == 0: # N is even\n",
    "    n = np.arange(-N/2, N/2)\n",
    "    print('n is even and is: ', n)\n",
    "else:\n",
    "    n = np.arange(-np.int(N/2), np.int(N/2)+1)\n",
    "    print('n is odd and is : ', n)\n",
    "print('fftshift of k is : ', np.fft.fftshift(k))\n",
    "f = n/T_0\n",
    "x1 = np.cos(2*np.pi*n_h*t/T_0)\n",
    "X1 = np.fft.fftshift(np.fft.fft(x1))\n",
    "x2 = np.cos(2*np.pi*(n_h+0.5)*t/T_0)  # This is the worst case, smack in the middle of harmonic frequencies.\n",
    "X2 = np.fft.fftshift(np.fft.fft(x2))\n",
    "plt.rcParams['figure.figsize'] = [18, 5]\n",
    "plt.plot(t, x1, t, x2)\n",
    "plt.title('Time Signals')\n",
    "plt.xlabel('t (s)')\n",
    "plt.legend(['$x_1$', '$x_2$'])\n",
    "plt.show()\n",
    "plt.plot(f, np.real(X1), f, np.imag(X1), f, np.real(X2), f, np.imag(X2))\n",
    "plt.title('Frequency Signals')\n",
    "plt.xlabel('f (Hz)')\n",
    "plt.legend(['$\\mathscr {Re}[X_1]$','$\\mathscr {Im}[X_1]$',\n",
    "            '$\\mathscr {Re}[X_2]$','$\\mathscr {Im}[X_2]$'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since the FFT assumes that the signal, $x(t)$ is periodic, there must be high frequency components due to the jump at the end of the sequence of data to go back to the beginning.  This causes the high frequencies you see in $X_2(f)$ above, as compared to $X_1(f)$ whose frequency was the $n_h$th harmonic.  Note that the original wave was a cosine, but the FFT interprets it as a superposition of sine waves.  Note that if $x(t) = x(t+T_0)$, the time wave really is odd, not even.  These sine waves would go through the sample points over the interval we sampled, but the actual time values between samples would be different than if $x_2(t) = cos(2\\pi (n_h + 0.5)t/T_0)$ as the python equation suggests.\n",
    "\n",
    "1.  What is the odd periodic wave in time does the FFT say is there?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The sharp discontinuity at the ends of the sinewave will have frequency components that extend to infinity, and they will cause aliasing distortion.  If the waveform we were sampling truely was $x(t) = cos(2\\pi (n_h + 0.5)t/T_0)$, and we wanted a better idea about it, it seems like it would be good to artificially make it fade in at the beginning of our sampling interval, $T_0$, and fade out towards the end of our sampling interval.  To accomplish this we use window functions, like the Hann (or Hanning) window: $$w(t) = \\frac{ 1 - cos(2\\pi t/T_0)}{2} = sin^2(\\pi t/T_0)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "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"
    },
    {
     "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": [
    "w = (np.sin(np.pi*t/T_0)**2)\n",
    "plt.plot(t, w)\n",
    "plt.title('Hann Window, $w(t)$')\n",
    "plt.xlabel('t (s)')\n",
    "plt.show()\n",
    "W = np.fft.fftshift(np.fft.fft(w))\n",
    "plt.plot(f, np.abs(W))\n",
    "plt.title('Frequency Spectra of the Hann Window, $|W(f)|$')\n",
    "plt.xlabel('f (Hz)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note, the Hann window's spectrum is narrow, and this is wanted.  There are plenty of other windows people use.  This is the simplist one I know of that does basically what we want.  Let's see what happens when we apply it to the signals, $x_1(t)$ and $x_2(t)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "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"
    },
    {
     "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": [
    "x1_w = x1*w\n",
    "x2_w = x2*w\n",
    "X1_w = np.fft.fftshift(np.fft.fft(x1_w))\n",
    "X2_w = np.fft.fftshift(np.fft.fft(x2_w))\n",
    "plt.plot(t, x1_w, t, x2_w)\n",
    "plt.title('Time Signals')\n",
    "plt.xlabel('t (s)')\n",
    "plt.legend(['$x_1 w(t)$', '$x_2 w(t)$'])\n",
    "plt.show()\n",
    "plt.plot(f, np.real(X1), f, np.imag(X1), f, np.real(X2), f, np.imag(X2),\n",
    "        f, np.real(X1_w), f, np.imag(X1_w), f, np.real(X2_w), f, np.imag(X2_w))\n",
    "plt.title('Frequency Signals')\n",
    "plt.xlabel('f (Hz)')\n",
    "plt.legend(['$\\mathscr {Re}[X_1]$','$\\mathscr {Im}[X_1]$',\n",
    "            '$\\mathscr {Re}[X_2]$','$\\mathscr {Im}[X_2]$',\n",
    "            '$\\mathscr {Re}[X_{1w}]$','$\\mathscr {Im}[X_{1w}]$',\n",
    "            '$\\mathscr {Re}[X_{2w}]$','$\\mathscr {Im}[X_{2w}]$'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note how the windowed data is much better for the badly non-harmonic cosine wave, and not much worse for the perfectly harmonic cosine wave.  By playing with the N in the first cell, and running all cells, it is evident that increasing the number of samples, $N$ doesn't change the leakage. "
   ]
  },
  {
   "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": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
