{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<script>requirejs.config({paths: { 'plotly': ['https://cdn.plot.ly/plotly-latest.min']},});if(!window.Plotly) {{require(['plotly'],function(plotly) {window.Plotly=plotly;});}}</script>"
      ],
      "text/vnd.plotly.v1+html": [
       "<script>requirejs.config({paths: { 'plotly': ['https://cdn.plot.ly/plotly-latest.min']},});if(!window.Plotly) {{require(['plotly'],function(plotly) {window.Plotly=plotly;});}}</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import plotly as py\n",
    "import plotly.graph_objs as go\n",
    "\n",
    "py.offline.init_notebook_mode(connected=True)\n",
    "\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.gridspec as gridspec\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "from sklearn.metrics import mean_squared_error\n",
    "\n",
    "colors = ['k','b','r','m','g','Brown','DarkBlue','Tomato','Violet', 'Tan','Salmon','Pink',\n",
    "          'SaddleBrown', 'SpringGreen', 'RosyBrown','Silver',]\n",
    "\n",
    "def dft_my_impl(data):\n",
    "    n = len(data)\n",
    "    out = []\n",
    "    for k in range(n):\n",
    "        v = np.imag(0)\n",
    "        for t in range(n):\n",
    "            angle = 2j * np.pi * t * k / n\n",
    "            v += data[t] * np.exp(-angle)\n",
    "        out.append(v)\n",
    "    return out\n",
    "\n",
    "def idft_my_impl(data):\n",
    "    n = len(data)\n",
    "    out = []\n",
    "    for k in range(n):\n",
    "        v = np.imag(0)\n",
    "        for t in range(n):\n",
    "            angle = 2j * np.pi * t * k / n\n",
    "            v += data[t] * np.exp(angle)\n",
    "        out.append(v / n)\n",
    "    return out\n",
    "\n",
    "def plot_transforms(ax, x, transforms, labels, linestyles = [], what = 'both'):\n",
    "    for i, (tr, label) in enumerate(zip(transforms, labels)):\n",
    "        linestyle = linestyles[i] if len(linestyles) > i else None\n",
    "        if what in ('real', 'both'):\n",
    "            ax.plot(x, [v.real for v in tr], label=label + ' real', linestyle=linestyle, color=colors[i % len(colors)], alpha=0.5)\n",
    "\n",
    "        if what in ('imag', 'both'):\n",
    "            ax.plot(x, [v.imag for v in tr], label=label + ' imag', linestyle=linestyle, color=colors[(i + 1) % len(colors)], alpha=0.25)\n",
    "\n",
    "def print_mse(dft, fft, prefix=''):\n",
    "    mse = mean_squared_error(dft, fft)\n",
    "    if isinstance(mse, np.complex):\n",
    "        print('%s Mean Squared Error: (%.2g, %.2g)' % (prefix, mse.real, mse.imag))\n",
    "    else:\n",
    "        print('%s Mean Squared Error: %.2g' % (prefix, mse))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DFT/FFT Mean Squared Error: (3.6e-25, -1.1e-25)\n",
      "IDFT/DATA Mean Squared Error: (-8.6e-28, 2.1e-28)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f884be950b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 500\n",
    "T = 1.0 # s\n",
    "\n",
    "f = 20 # Hz\n",
    "w = 2 * np.pi * f\n",
    "\n",
    "t = np.linspace(0, T, N)\n",
    "s = np.sin(w * t / T)\n",
    "\n",
    "Nyq = N / (2 * T)\n",
    "df = 1 / T\n",
    "k = [i * df - Nyq for i in range(N)]\n",
    "\n",
    "dft = dft_my_impl(s)\n",
    "idft = idft_my_impl(dft)\n",
    "dft = np.fft.fftshift(dft)\n",
    "fft = np.fft.fftshift(np.fft.fft(s))\n",
    "\n",
    "print_mse(dft, fft, 'DFT/FFT')\n",
    "print_mse(idft, s, 'IDFT/DATA')\n",
    "\n",
    "fig = plt.figure(figsize=(14, 5))\n",
    "\n",
    "gs = gridspec.GridSpec(1, 2)\n",
    "\n",
    "ax0 = plt.subplot(gs[0])\n",
    "ax1 = plt.subplot(gs[1])\n",
    "\n",
    "plot_transforms(ax0, k, [dft, fft], ['dft', 'fft'], [None, '--'])\n",
    "ax0.legend(loc=(0.1, 0.65))\n",
    "\n",
    "plot_transforms(ax1, t, [idft, s], ['idft', 's'], [None, '--'])\n",
    "ax1.legend(loc=(0.1, 0.65))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DFT/FFT Mean Squared Error: (-2.3e-25, -1.5e-25)\n",
      "IDFT/DATA Mean Squared Error: (-1.2e-27, 1.3e-28)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f7379e940b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "'file:///home/akarpovskii/Programming/Signals/plot.html'"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "N = 500\n",
    "T = 1.0 # s\n",
    "Nyq = N / (2 * T)\n",
    "df = 1 / T\n",
    "f1 = 100 # Hz\n",
    "f2 = 101.5\n",
    "w1 = 2 * np.pi * f1\n",
    "w2 = 2 * np.pi * f2\n",
    "\n",
    "t = np.linspace(0, T, N)\n",
    "s = (np.sin(w1 * t / T) + np.sin(w2 * t / T)) / np.sqrt(2)\n",
    "\n",
    "k = [i * df - Nyq for i in range(N)]\n",
    "\n",
    "dft = dft_my_impl(s)\n",
    "idft = idft_my_impl(dft)\n",
    "dft = np.fft.fftshift(dft)\n",
    "fft = np.fft.fftshift(np.fft.fft(s))\n",
    "\n",
    "print_mse(dft, fft, 'DFT/FFT')\n",
    "print_mse(idft, s, 'IDFT/DATA')\n",
    "\n",
    "fig = plt.figure(figsize=(14, 5))\n",
    "\n",
    "gs = gridspec.GridSpec(1, 2)\n",
    "\n",
    "ax0 = plt.subplot(gs[0])\n",
    "ax1 = plt.subplot(gs[1])\n",
    "\n",
    "plot_transforms(ax0, k, [np.absolute(dft).real], ['absolute'], [None, '--'], what='real')\n",
    "ax0.legend(loc=(0.1, 0.75))\n",
    "\n",
    "ax1.plot(k, np.angle(dft), label='argument', color=colors[0], alpha=0.5)\n",
    "ax1.legend(loc=(0.1, 0.75))\n",
    "\n",
    "plt.show()\n",
    "\n",
    "trace = go.Scatter(\n",
    "    x = k,\n",
    "    y = np.absolute(dft).real)\n",
    "\n",
    "py.offline.plot([trace], filename = 'plot.html', auto_open=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DFT/FFT Mean Squared Error: (-3.1e-25, -1.4e-25)\n",
      "IDFT/DATA Mean Squared Error: (-1.7e-27, 2.4e-29)\n",
      "This is the format of your plot grid:\n",
      "[ (1,1) x1,y1 ]  [ (1,2) x2,y2 ]\n",
      "[ (2,1) x3,y3 ]  [ (2,2) x4,y4 ]\n",
      "\n"
     ]
    },
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-3.133775857635646, -2.8475247685689586, 2.785592462260338, -2.793001961177184, 2.6973789613198185, -3.135700312681156, -2.8273723856248476, 2.7884928582371242, -2.7939046258188407, 2.7199184223299744, -3.1376502159038178, -2.806710771090348, 2.7908208519711484, -2.7941159295871456, 2.742156287412314, -3.1396171622642215, -2.78559123341391, 2.7925505991962716, -2.7936569921795527, 2.764059455034046], \"name\": \"angle\", \"xaxis\": \"x3\", \"yaxis\": \"y3\"}], {\"xaxis1\": {\"domain\": [0.0, 0.45], \"anchor\": \"y1\"}, \"yaxis1\": {\"domain\": [0.575, 1.0], \"anchor\": \"x1\"}, \"xaxis2\": {\"domain\": [0.55, 1.0], \"anchor\": \"y2\"}, \"yaxis2\": {\"domain\": [0.575, 1.0], \"anchor\": \"x2\"}, \"xaxis3\": {\"domain\": [0.0, 0.45], \"anchor\": \"y3\"}, \"yaxis3\": {\"domain\": [0.0, 0.425], \"anchor\": \"x3\"}, \"xaxis4\": {\"domain\": [0.55, 1.0], \"anchor\": \"y4\"}, \"yaxis4\": {\"domain\": [0.0, 0.425], \"anchor\": \"x4\"}, \"height\": 900, \"width\": 1800}, {\"showLink\": true, \"linkText\": \"Export to plot.ly\"})});</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 500\n",
    "T = 1.0 # s\n",
    "Nyq = N / (2 * T)\n",
    "df = 1 / T\n",
    "f = 115.5 # Hz\n",
    "w = 2 * np.pi * f\n",
    "\n",
    "t = np.linspace(0, T, N)\n",
    "s = [np.sin(w * (_t if i < N * 3 / 5 else (_t + np.pi / 4)) / T) for i, _t in enumerate(t)]\n",
    "\n",
    "k = [i * df - Nyq for i in range(N)]\n",
    "\n",
    "dft = dft_my_impl(s)\n",
    "idft = idft_my_impl(dft)\n",
    "dft = np.fft.fftshift(dft)\n",
    "fft = np.fft.fftshift(np.fft.fft(s))\n",
    "\n",
    "print_mse(dft, fft, 'DFT/FFT')\n",
    "print_mse(idft, s, 'IDFT/DATA')\n",
    "\n",
    "angle = go.Scatter(\n",
    "    x = k,\n",
    "    y = np.angle(dft),\n",
    "    name='angle'\n",
    ")\n",
    "\n",
    "absolute = go.Scatter(\n",
    "    x = k,\n",
    "    y = np.absolute(dft).real,\n",
    "    name='absolute'\n",
    ")\n",
    "\n",
    "signal = go.Scatter(\n",
    "    x = t,\n",
    "    y = s,\n",
    "    name='signal'\n",
    ")\n",
    "\n",
    "fig = py.tools.make_subplots(rows = 2, cols = 2)\n",
    "\n",
    "fig['layout'].update(height=900, width=1800)\n",
    "\n",
    "fig.append_trace(signal, 1, 1)\n",
    "fig.append_trace(absolute, 1, 2)\n",
    "fig.append_trace(angle, 2, 1)\n",
    "\n",
    "py.offline.iplot(fig)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DFT/FFT Mean Squared Error: (-3.1e-25, -1.5e-25)\n",
      "IDFT/DATA Mean Squared Error: (-1.6e-27, -1.2e-29)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f886b078390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 500\n",
    "T = 1.0 # s\n",
    "Nyq = N / (2 * T)\n",
    "df = 1 / T\n",
    "f = 20 # Hz\n",
    "w = 2 * np.pi * f\n",
    "\n",
    "t = np.linspace(0, T, N)\n",
    "s = np.cos(w * t / T)\n",
    "\n",
    "k = [i * df - Nyq for i in range(N)]\n",
    "\n",
    "dft = dft_my_impl(s)\n",
    "idft = idft_my_impl(dft)\n",
    "dft = np.fft.fftshift(dft)\n",
    "fft = np.fft.fftshift(np.fft.fft(s))\n",
    "\n",
    "print_mse(dft, fft, 'DFT/FFT')\n",
    "print_mse(idft, s, 'IDFT/DATA')\n",
    "fig = plt.figure(figsize=(14, 5))\n",
    "\n",
    "gs = gridspec.GridSpec(1, 2)\n",
    "\n",
    "ax0 = plt.subplot(gs[0])\n",
    "ax1 = plt.subplot(gs[1])\n",
    "\n",
    "plot_transforms(ax0, k, [dft, fft], ['dft', 'fft'], [None, '--'])\n",
    "ax0.legend(loc=(0.1, 0.7))\n",
    "\n",
    "plot_transforms(ax1, t, [idft, s], ['idft', 's'], [None, '--'])\n",
    "ax1.legend(loc=(0.1, 0.7))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DFT/FFT Mean Squared Error: (-1.5e-30, 5.3e-29)\n",
      "IDFT/DATA Mean Squared Error: (1.3e-30, 7.8e-31)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f88696ff5f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 64\n",
    "T = 16.0 # s\n",
    "Nyq = N / (2 * T)\n",
    "df = 1 / T\n",
    "f = 20 # Hz\n",
    "w = 2 * np.pi * f\n",
    "\n",
    "t = np.linspace(0, T, N)\n",
    "s = np.exp(-(t - T / 2) * (t - T / 2))\n",
    "\n",
    "k = [i * df - Nyq for i in range(N)]\n",
    "\n",
    "dft = dft_my_impl(s)\n",
    "idft = idft_my_impl(dft)\n",
    "dft = np.fft.fftshift(dft)\n",
    "fft = np.fft.fftshift(np.fft.fft(s))\n",
    "\n",
    "print_mse(dft, fft, 'DFT/FFT')\n",
    "print_mse(idft, s, 'IDFT/DATA')\n",
    "fig = plt.figure(figsize=(14, 8))\n",
    "\n",
    "gs = gridspec.GridSpec(2, 2)\n",
    "\n",
    "ax0 = plt.subplot(gs[0])\n",
    "ax1 = plt.subplot(gs[1])\n",
    "ax2 = plt.subplot(gs[2])\n",
    "\n",
    "plot_transforms(ax0, k, [dft, fft], ['dft', 'fft'], [None, '--'])\n",
    "ax0.legend(loc=(0.1, 0.6))\n",
    "\n",
    "plot_transforms(ax1, t, [idft, s], ['idft', 's'], [None, '--'])\n",
    "ax1.legend(loc=(0.1, 0.6))\n",
    "\n",
    "ax2.plot(k, np.absolute(dft).real, label='dft absolute', color=colors[3])\n",
    "ax2.legend(loc=(0.1, 0.6))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DFT/FFT Mean Squared Error: (-3.4e-27, -2.6e-27)\n",
      "IDFT/DATA Mean Squared Error: (-1.2e-29, 5.3e-31)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f88692fa5c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 256\n",
    "T = 1.0 # s\n",
    "Nyq = N / (2 * T)\n",
    "df = 1 / T\n",
    "f = 50 # Hz\n",
    "w = 2 * np.pi * f\n",
    "\n",
    "t = np.linspace(0, T, N)\n",
    "s = [1 if n > N / 2 - 8 and n < N / 2 + 8 else 0 for n in range(N)]\n",
    "\n",
    "k = [i * df - Nyq for i in range(N)]\n",
    "\n",
    "dft = dft_my_impl(s)\n",
    "idft = idft_my_impl(dft)\n",
    "dft = np.fft.fftshift(dft)\n",
    "fft = np.fft.fftshift(np.fft.fft(s))\n",
    "\n",
    "print_mse(dft, fft, 'DFT/FFT')\n",
    "print_mse(idft, s, 'IDFT/DATA')\n",
    "fig = plt.figure(figsize=(14, 8))\n",
    "\n",
    "gs = gridspec.GridSpec(2, 2)\n",
    "\n",
    "ax0 = plt.subplot(gs[0])\n",
    "ax1 = plt.subplot(gs[1])\n",
    "ax2 = plt.subplot(gs[2])\n",
    "ax3 = plt.subplot(gs[3])\n",
    "\n",
    "plot_transforms(ax0, t, [idft, s], ['idft', 's'], [None, '--'])\n",
    "ax0.legend(loc=(0.1, 0.6))\n",
    "\n",
    "plot_transforms(ax1, k, [dft, fft], ['dft', 'fft'], [None, '--'], what='real')\n",
    "ax1.legend(loc=(0.1, 0.8))\n",
    "\n",
    "plot_transforms(ax2, k, [dft, fft], ['dft', 'fft'], [None, '--'], what='imag')\n",
    "ax2.legend(loc=(0.1, 0.8))\n",
    "\n",
    "ax3.plot(k, np.absolute(dft).real, label='dft absolute', color=colors[3])\n",
    "ax3.legend(loc=(0.1, 0.8))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "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": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}