spo2.ipynb 474 KB
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{
 "cells": [
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook tries to recreate the SpO2 algorithm from https://github.com/XDjackieXD/TomoStrap/blob/master/microcontroller/source/max_spo2.c using data collected with a card10 badge\n",
    "\n",
    "It tries to plot as many graphs as possible.\n",
    "\n",
    "While the original algorithm works on a stream of samples, this notebook performs all operations on the whole dataset to make them easier to understand."
   ]
  },
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  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
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    "import matplotlib.pyplot as plt\n",
    "import numpy\n",
    "import pandas\n",
    "import math"
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   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
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    "# The dataset collected with the card10 badge contains red and infrared data at 200 samples per second\n",
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    "lines = open('spo2-data-96-97').readlines()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
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   "outputs": [],
   "source": [
    "# A negative sign to the signals look more like shown in https://www.maximintegrated.com/en/design/technical-documents/app-notes/7/7082.html\n",
    "data = [(-int(x[0]), -int(x[1])) for x in [y.strip().split(',') for y in lines]]\n",
    "data_red_with_dc = numpy.array([x[0] for x in data])\n",
    "data_ir_with_dc = numpy.array([x[1] for x in data])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# The code for the TomoStrap expects 100 samples per second. We decimate by two here.\n",
    "# We continue to use the decimation factor during plots to always plot the same region,\n",
    "# even when decimation changes.\n",
    "decimation = 2\n",
    "data_red_with_dc = data_red_with_dc[::decimation]\n",
    "data_ir_with_dc = data_ir_with_dc[::decimation]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
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   "outputs": [
    {
     "data": {
      "text/plain": [
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       "[<matplotlib.lines.Line2D at 0x7f0fd7baea20>]"
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      ]
     },
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     "execution_count": 24,
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     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "image/png": 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\n",
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      "text/plain": [
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       "<matplotlib.figure.Figure at 0x7f0fd7bae9e8>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
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    "# Let's plot the data to get a feel for it.\n",
    "# Luckily both red and infrared are close to each other in terms of DC offset.\n",
    "plt.plot(data_red_with_dc, color='red')\n",
    "plt.plot(data_ir_with_dc, color='darkred')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## DC offset removal"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Goal is to remove the large (around -234000) DC offset from the signals and flatten them as much as possible.\n",
    "The algorithm has to converge fairly quick to account for the finger changing position / pressure."
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   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 6,
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   "metadata": {},
   "outputs": [],
   "source": [
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    "# A very simple offset removal function\n",
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    "def remove_bias(data, alpha = 0.995):\n",
    "    offset = 0\n",
    "    filtered = []\n",
    "\n",
    "    for sample in data:\n",
    "        offset = alpha * offset + sample * (1 - alpha)\n",
    "        filtered.append(sample - offset)\n",
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    "\n",
    "    return numpy.array(filtered)\n",
    "\n",
    "# The original function from the TomoStrap\n",
    "def remove_bias_TomoStrap(data):\n",
    "    offset = 0\n",
    "    filtered = []\n",
    "\n",
    "    for sample in data:\n",
    "        offset = sample + offset * 0.95\n",
    "        filtered.append(sample - offset)\n",
    "\n",
    "    return numpy.array(filtered)"
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   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 7,
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   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "[<matplotlib.lines.Line2D at 0x7f0fda27c780>]"
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      ]
     },
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     "execution_count": 7,
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     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "image/png": 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\n",
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      "text/plain": [
161
       "<matplotlib.figure.Figure at 0x7f0fda635240>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
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    "# Let's try different filter coefficients on the red data\n",
    "# 0.995 converges much faster\n",
    "plt.plot(remove_bias(data_red_with_dc, 0.995)[(2000//decimation):(3000//decimation)])\n",
    "plt.plot(remove_bias(data_red_with_dc, 0.9975)[(2000//decimation):(3000//decimation)])"
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   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 8,
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   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "[<matplotlib.lines.Line2D at 0x7f0fda1ef6a0>]"
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      ]
     },
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     "execution_count": 8,
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     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "image/png": 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\n",
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      "text/plain": [
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       "<matplotlib.figure.Figure at 0x7f1009011198>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
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    "# A little bit further into the file. Looks like 0.995 does a good job\n",
    "plt.plot(remove_bias(data_red_with_dc, 0.995)[(6000//decimation):(8000//decimation)])\n",
    "plt.plot(remove_bias(data_red_with_dc, 0.9975)[(6000//decimation):(8000//decimation)])"
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   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_red = remove_bias(data_red_with_dc)\n",
    "data_ir = remove_bias(data_ir_with_dc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
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   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "[<matplotlib.lines.Line2D at 0x7f0fda1d7320>]"
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      ]
     },
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     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fda255c18>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Red and infrared are now without DC offset and directly on top of each other\n",
    "plt.plot(data_red[6000//decimation:7000//decimation], color='red')\n",
    "plt.plot(data_ir[6000//decimation:7000//decimation], color='darkred')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f0fd7b11a58>]"
      ]
     },
     "execution_count": 25,
267
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269
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271
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
272
      "image/png": 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\n",
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      "text/plain": [
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       "<matplotlib.figure.Figure at 0x7f0fd7b47828>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
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    "# The original DC offset removal seems to distort the signal significantly.\n",
    "# Later on we will detect individual beats which might be more reliable with these signals.\n",
    "# I've opted to not use them though.\n",
    "plt.plot(remove_bias_TomoStrap(data_red_with_dc)[6000//decimation:7000//decimation], color='red')\n",
    "plt.plot(remove_bias_TomoStrap(data_ir_with_dc)[6000//decimation:7000//decimation], color='darkred')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pulse detection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f0fd7a74278>]"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fd7af7320>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# spo2_mean extracted from TomoStrap\n",
    "# Calculates a moving average over 15 samples\n",
    "def spo2_mean(ir, MEAN_FILTER_SIZE=15):\n",
    "    ret = numpy.zeros(len(ir))\n",
    "    for i in range(len(ir)):\n",
    "        ret[i] = sum(ir[i-MEAN_FILTER_SIZE:i])/MEAN_FILTER_SIZE\n",
    "    return ret\n",
    "\n",
    "plt.plot(data_ir[6000//decimation:6400//decimation])\n",
    "plt.plot(spo2_mean(data_ir)[6000//decimation:6400//decimation])\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f0fd7a5add8>]"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fd7aeadd8>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# meanDiffResIR is the filters signal from above minus the unfiltered signal.\n",
    "# I don't know what the exact intention is. It effectively inverts the signal.\n",
    "# Maybe that is an unintended side effect which makes the following beat detection actually work...\n",
    "meanDiffResIR = spo2_mean(data_ir) - data_ir\n",
    "plt.plot(data_ir[6000//decimation:6400//decimation])\n",
    "plt.plot(meanDiffResIR[6000//decimation:6400//decimation])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f0fd79d1ba8>]"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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XZ83kmK0349yhP0ma8wY9r6rITlW/e9wR1cWYDIILnw4A1/LwVxeysqaVB97ezpri4gPuQwjBz86YwQl/bKaxZAFjVt0FR3w9Y+Z3KtnY0M2Y/DzpRmr8BDq2w+e+t99zihwWNsbHgsEsRWLmkpTu6Z3aNmpb/Pz+grm0eEPMi63n6HdvQlQdDmfdPqxrTfI4+cMFczlmigerqc+1UmAz8/p1x+OwmNCAa7whFm2s5s8Vyzl5/eOIzcsQJ/4CDv9a2txpo0mLL0QgHJOWRPNGsLjkw9Z+mFDiYFtbDxz9TXju+9R/9ApVh5wySjuW+EJRNjV2853jJ8BrN8CYOYgrX2WiOY+J+jFHAet+dQp2i4maJh++CNQdfSPjlp4GK26FU28c1T0Ph7SKhKZp24B5A6y3AScOsK4B30rnnlLNY6vreGNzCzcsmcWlRRvglcfgyGuH9SQJ8obw+NcXsXpHB0YhOHZKCUdPKua8Qysp0n3sB2JiiYMSp4VnnRdyVd1PYP2/Yd6+2T+5xtZmL1PKdD/8p8+CMMD0M/d7TrHDQlMgCmUz02JJPPzODoodFs6eV0HenvfhH9+Eoglw8WPD7suUcEUOhCuvT+Tv+fJh/OW1Ar71Wh7jtXncKv7BIcuug0AbHH/9gOfnEon01/HFdti8AUpn7JP6+t9MLHHw/vZ2WqrPJa79mrwXvg/T3x7UykwHH9fJGp4zoq9Cxw645P8GfEC0W+TtdnaldJsu/kc7//SczqL37oEFX4XiSaO25+GgKq6TIBiJ8eflWzhsfBFfnmmGp78F5fPgxF+O6HqHjXdzzXGTuOrYaoQQmIwGpo/JH/L5QgjmVRWytHM6eGbAyjtyPismHteobfb3VeDufAfGzO2N9QyG22Gh3R+GikOkSKTw/yESi/P65maWzK8kTwvKYsb8Crj8WXAc2OobKQaD4LsnTeGTX53KDy4+iwt7fsJbjpPhjd/Bx4+jaRq/eXYjv3pmQ9r2kE7erW1DCJhVng9NG6TAH4CJJQ4C4Riv1nj5Zvi7FIQb4YkrR/X3/oX1DdhMGpM33wNjj9hvHAVgRrmLh75yOMdOKeG7zZ9Hs9hh6WUD1lBlA0okkuCRd3fS1B3ix6dOQzz7HVn7cP6DYBrak386mFtVSE2rn+DCb8omd7XLM7aXVLCnq4eeSEyKRDwmA5r78VMn6BOJQyHYBS37S6obHtta/ERiGvPGFsgCyUArLLkTXGUpe439YbMY+fzccn519myubPsyrcWHw5NfZ8OjPye+6m66PnpmVPaRapZvamL+2EI8tEOwE8pmH/CcCcUyOeDpj3azVpvGrbGL5e98GqzHgfCFojz5wW5+MqEWQ/duOPp7B3T9CSFYPL2UKz9XTZNWxCeL/kS8aSMf3X4+Wmjw+ol4XGNX2+inzSqRGCHxuMZ9b23jmCklHGHaCjWvwuKfQcnkjO5r7tgCNA0+LjwZHKXw/n0Z3U+y1DTLp6sppS5o3Qph74B58/9NscOCNxglXH2ydE+t/0/K9rSpUQ+kl5iltTbxuN7mc6PJJQvHUVFcwLWGn9Fd/Xlmb7mTX5n/zq2xW/BvfHHU95MMzd1B1tV3cdKMMmjS00RLh2ZJALy3XaagPho5Bs1ghg2pe7/3x5Mf7sYfjnF+dJmMn0w9dcjnHjq+EJNB8GJwFrebv8bcwHtE7j4WWmsGPP7+t7dxwh/fYE9nD2t3tvOFe96ltiX91ocSiRGysaGbZm+Ic+ZXwpu/B3uJ9CtmmHlVMln244YAHHa5LEjq2JnhXY2chEhMLnX2tdgYgkgk4jgdRre8iX+yNGUuiE8bvJiNgurGZeBvHrReI90YDILLjpzAqroeTq37ClcYf8czxz7DJm0ceU9emVPt5F/bJDO1TpxRCk3r5eIQ3E0VhTYsRgOaBvPGFtKNk0bPUTIdNp7eUbbeYISHVm7njNJ2XI2r4PArB63pGAi7xcTsygIeX13HHd7juSTyc2L+dlh6KUR69jo2Eovz0ModROMab9e08vqmFtbu7KDEmf55KUokRsibW2Sl9+L8OmneHnUtWOwZ3pV0s1QV2XhzSwvvFp6FJgSsfSjT2xoxtS0+3A6LzGzavVZmvBRPOeB5xbpItPnCMPcLMqCYourrzY3dTPI4MW1+XgarJ3wuJdcdCRcsqMJuMdLkC3PVJV9g5uxD+Vr4OllY9u5f9zl+/e4u3tjczNYm6dbo8IdZ/mnmZ1ss39RMZaGNaWUumdnkqhhS8NloEL3NAM+dX0Ge2cAq2/GyNibF1fYra1r5yRPriMTieIMRLn/wfRraurnZfC9YC+DQy4Z9zSMmumnzh7GYDDS7D+ePzuvkz//i3okIL21opKEriEHI2M2bW1o4dFwhBbb0Zy8qkRghb25pYVZFPu71D8sb1+Ffy/SWelkwvoiVNW1cvLSe+tLF8MEjvb2ico2aZh+TPXrQevdaqDzkgBkv0Fd13e4Py0woUx6sW5qSPW1q9DK31Ajb3oRpZ2Q0/TQ/z8wt58/lT1+cz1GTShjrttMkivm05BT4+HEZj9HZ3Ojl7L++zVceWs2Zf3mbzkCYW1/ezJUPr6HVN/rdcvuzudHLYeOLEELI+FHpjAOfpDNBdznNH1fEzPJ8nuqZC0YrfJra2Mzjq+t4fE0dt72yhav/vpZ19V0sm7Wc/LZ1cPYdI5qQt3CiPOfE6aWcObecBxurCS78tux++9Ztvcc9tHIHhxf5ecTzT6799BL+0XohjzWdPSrWohKJEdAdjPDBzg5OrbbIfvdzv5BV1c2/OWc2/3fNkRTYzLxmO1kGVmtycx5wTbOPSaVOiASlG2IIriZADmoC2gNhyMuHaadLP3Usue6bXYEIDV1BTrBshFhIXjfDnDWvgiXzZYszq8nIWLed56xnQsQPHz3ae9yfl2/BaTHw8uzXeNnwHTofvJAZH9/El42v8Glda6a2D8i55R6XVboE22qh5MDWYoIZY1w4LEZmlLuYVVHA2sYY2rhFUsRTyLr6TgwC7n6jlne3tfLMnLeZuPX/yaLZWecc8PyBWDjRzezKfC4/agInzigjrsEd4hK0ORfC8l/Dij+wrq6DrTvruU/cxBH+19geK+U/sWNom3vVqNx3lEiMgBVbWojGNZawAqJBWJBdNX/5eWYOnyB/+Z7sniED2B/9K9PbGjZtvhAdgYiMR7TXQjw6pIwXgCK7LhKJJ+S5X5T1BEl2C00Eref534G8Ahh3ZFLXSwfVJQ7e9FVC1UJYeTt07mLjnm5WflLDU+6/MrXmfjotY4i2bOVs7XV+a36I6c+fl7EYRiAcJRCOSf+6r0kOEioeegLINcdP4vnvHIPVZGTe2EJ8oShtniOg6ZOUTa3rCkTY0Rbg68dNYuGEIp6avpyZm++E+V+C028Z8XVdeWae+/YxLKouZk5lAZ+fU85db27nGu+VhGecD6/9lvx/ncFT1l9SEKyn5ex/8LXIj/ir9SpKltwEztIDv0iSKJEYJsFIjFtf2sxEdx7jtj8OVYfDmDmZ3taAzKooYGNTD7E5F8oA9gG6wz7y7g5eXN84OpsbArs7ZfBuvNsOnfqEv6KJ+zmjj0K7BSHgmY/3cNmD79M25nPSx52ky2ldfRdmopQ1vAFTTsnKivaJJU62t/qIn3ErRAJEHzyTjx/6Li/nXc/ErvfgjFv5+MRHOCn0B062/oMfm36CI1APyzITgG/1SldoidMCbXpmj7t6yOfbLaZel9PhE2QcY61Bf5jYmZrphOt2dwJw9KQSlla/wPwdD8JhV8DZfx1WsHp/GAyCv15yCL88ayavbe3g+NpLeHfKdQQDXoxOD+KCBxkz90SqPQ5OmVWGwTA6bk4lEsPkztdr2NEW4M6FbYi2rbDw65ne0qDMqsgnHIuzo3IJxCPw4T8GPTYYifGb5zbyzX+u5bl12dFTsd0vbx5FDkufSAyxUZ/RICiyW/hgVycrtrTwp9d3wKxzYdPzwy5aWrq6jpNve5M9nT08uHI7XyvdhCHYDnO+MKzrjBbVHgfBSJwG+1Saz3mUju5uzos8i6uoFPG1V2HhVSyZV4nTauLCw8bSPvZklprPlgkYLVtGfb8turVX4rL2icQwLIn+jHPb8bisvNxZCWYHbF+Rkj2uq5exnfmGWnjnDikQZ/5pSPGx4SCE4IqjJ/LvbxyFI8/MxZ8cyhnhW9CueAFmno0Qgie/eTS/PGtWSl93fyiRGAatvhD3rNjGOfMrmLn9YSgYO2Jf5GiQ6Jr6QagCqo+XrodBinXW1XcRiWkUO61877GPepvqZZIOfcqX22GRabxm+wErrfvzo1Onccv5c7h00Xj+9d4u6irPgGiPrGkZBm/XtLK12ceZf3mbhq4gVztXyuybyft0lskKqvWn6mXrGvjG64Lj439j5ze2Y//ue1AxH4ACu+wL9d2TpjCzPJ87u49BM1rg/XtGfb+JoLnHqYuE0QoFVSO6lhCCwycU8d7Obhh/ZMqGTn1c18nEEgfOVbeCzS2HSaUxYWFuVSEvf/9Y3vrxYp779jG9lhLIFj555tRYL0Ph4BWJtQ/Dyj8P65R/rtpFOBrnutl+acYu+kZWuhsSTCxxYLcY2bCnG074hfTJr9p7ImxNs4/uYIQ1O6Ur6vnFjay1XEXVfbPRVvwxE9vupcMvg8xFdjN07pRWxDD+MC9eOI4vHj6O7588FYfVxG2bCiGvcNgzkbe1+iiwmWn3hzl7gkZRw1tybGqK3Ayp5pBxRcwfW8iNyz5l7c4Ofnf+XKaW7Rvg9LismI0GZlbk06IV0FG9RMauRnleekIkSpxWGRdxVyf1f7tgvJv6jh66y4+E1s3gTc6Fqmka6+q7OLN4j/zdOerboxIwFkIw1m1nZsXQW/Okg4NXJHa+A2/cMuQ2vaFojEdW7WTx1BKqPviD9G8PMC0umzAaBDPK81m/uwuqDpOpoCv/3FvRGorGOOfOlVz/73Ws2dHBWe46Spd/n2jBBDbGKtBevxFaNmds/x2BMAYhA/G9IjEC3A4LJ88oY0VNJ9rkk+Qf+hALrTRNY1uLn/MOreSuLx3KzWNek+MyD/nyiPYyGtgsRv79jaP43Xlz+NVZMzl73r7T8fozs1y3OIs/D5HAqLdyScQkip0WKRJJNro7fIJMK/3IOFcu7Bh5XKInHOP7j39EY3eQLwT/LR8yFu47AuCzzMErEkd9W6YIrn5gSIc/+3EDrb4QP5xUB9vegON+IlMrs5xF1W7W7OzgpmWfEjvtFrA44dEvgq+ZtTs78IWivLC+EWvty9wSvAHyKym66hl+7/opQazwyi8ytvd2f5giu0UG6Dp3QeH4EV9rUXUxbf4wTWXHgr9lyL19GruDBMIxqj1OznBswf7RA7DwanAPLYCeKYwGwcULx/GVow+8z6oiGwU2My90jpOulM0vjMIO+2j1hSi0mzELDdq3jTgekWBGuQu7xcjrXWNkkVsScYlbXtzE0x/v4dfHOKhqfk12VciidPfR4OAViTGzYdKJ8N49Mgd/P2iaxoNvb2d6qY1ZG/4oM2wWXDlKG02O7544lUsXjefeFdu46e1uuPhR8LXAAyez7cPXOdL4KX81/5W7jb8n5BwLlz2NwVnMlIkTuY/zYMuLsqleBugMRCi0m6GnUxaFJTFdblG17M76Znye7OW09aUhnbetxQ/AZLcFnr5W3sBO+uyMhgWZVXPGnDEs29BCZPIpMhMuFh2112/1haSrqXOXTLBI0pIwGQ1MLXOxuTkAE44esUjE4hrPrWvgjNnlXG56BSEMWVU0O1octCIRi2t0HPoN2Xvnw0cGPOajuk5ueG4jr21qZmNDN78Zvw7RvBFO+lVGO70OB4vJwA3nzOayI8fzwNvbuWOTi5+6biQY8PLl9V/jUfMNnGj6iLujZ9F1yXNQJJ/Wp5e7+H89n0NDSKHIAO3+sAxaDzOzaSDGum1UFOSxoj4u05a3DFUkZCbU9O63oWsXnHJjVrRfSTUXHFZFTyTG+5YjZAfWulWj9tpSJCyyFgbAnfxchWllLrY0eWHCMXJIVWfdsK+xdmcHrb4QZ03Ngw/+DjPPgYLKpPeWaxy0InH5g+9z1Zt2GHeUbNAX9u9zzD9X7eSBt7dz1d8i9LyrAAAgAElEQVTXUGmPcfj2u2WBUoqnnI0GPztjBtPKXNz2yhb+r6mc03t+y/WRq3hqxm3Evrue6ZfexoQxfZlDM8rz6SAfb/Fc2JqZau2OQJhCez+RKBq5u0kIwaJJxaza1oY25VRo+GhIAc3aFj92i5HCTx+F/MoDzgrIVQ4dV0R1iYO/1U0Ao2VUXU6tvrC0JBKNKJN4nxNMKXPS6gvTMWaRXNgx/CynF9c3YjEaOKH5YVngd8wPkt5XLnLQisSiajdrdnXSuugn0pp4b9/Uv9oWH5WFNmxmI3eVL0P4GuWYwRwcFZlnNvLAVxbw54vm8+oPjqMZN4/FFlN5xLk4CopZPG3vys0Z+rCjza5FsmdSiipXh0NHIIzbbpFBa0gqJgF9cYmdJXpDviFkOW1r9bOoyIuofU0mKmRpRlOyCCE479BK3trVQ6R0Tt+M6VGg1au7m7rqwGACV3nS15w2RsYNPo1Vgb0YaoYXjNc0jZc2NHLBhCCWtffL975s9GoTsomDViTOmCN/EZ9uHw9TT4PXb5IN0XQ0TaOm2cfi6R4+PK+bebsfhSOugbELM7XlpKkqsrNkfiUTShzceO4cFoyXqZIDUWA3S/eMNh/Qkm5nMVw0TaPDH+krpLM4kx5JeaQel1jRWSqtgv24nJauruPCv73D+t1dfMH4hnwwyOKMplRw6Hj5/9tumzhqWW3BSAxvKCr7NnXWyQl/KRDiaXrK75Ymv8zq2/zCgN6CwXhsdR27OwN8J/qgbA65+OdJ7ylXOWhFotrjZGZ5Ps+v2wPn3gPjFsGTV/dWJbf6wnQHo8xxBbA8/z3pljrltxnedeo455BKnvjGUZiNg/8KzCjP5+WOcv1JbHRdToFwjHAsLmskuuplcVWSFlxVkY3KQhurtrfLlhq1r0N04O6nz3/SwOodHXT5e/ic70WYfBIUDjyH+rNCopZih3Gs7KF0gDYuqaCvRsIiLYmCkced+uNxWSm0m9nc5JMNOCN+2LRsSOfWtvj4zbMb+UHFp4xpWiGHiY3S1MFs5KAVCYDPzy3ng12dLKvp4Y7ym3lXm0P82e9B3ereYTfH7rkfYmE4566sLpxLB9PLXdS09hCrWtQ38GeU2Kslh7cRXGOSvqYQgiOq3aza1o429VR546h9fcBjtzR5OWVmGfcf2YYz3AqHfSXp1892SpxW3A4LG8O6u6c1/S06Wn2Jvk26JZEiIRZCMLVUD16POwryq+TgqQOwcU83l97/HmNNHXwrdJ/sy5bFrXdGg4NaJM45pJIiu5lv/vMDbnt9J9+KfIcOoweWXkrd7nqmijrGbHsiJ/Li08GM8nxicY1Wx2SZv/5f07LSSaIlR5HdIp9qncmLBMi4RLs/zFbXEfKaq/cd79rVI9uBHzKuiMW+F+RxU4Y+ljKXmVrmZJXPI79I4VzwwWj16i05bAK8DbLVTYqYOsbJliavHLw15wIZl/DuPWApFI3xwNvbafOF2Linmwv/9g6eeAvPun6HMRKQs8uNppTtKRc5qEWistDGuz89kUevWsTT3zqahTMm8UPxQzR/K4es+QkPWP4I1nw49rpMbzUjJHo/bWWcrDIehZtGgo6AbMnhtpukSKTI3E/EJVbt7JaFUTWvytnZ/UhMbZvvaJNutkO+dNDcKKaWuXi31YZmto9KXKKuIwBApbED0FLq0ptZXoA3GOXdbW361DgN3v3LXse8vKGJG57byGUPvs83/7mWBZYd/MfyC6yhDrj0SSifl7L95CoHtUiAzPo5clIx88YWcvTkYt7oLqfziOuY0v0uhYYA4tL/jGji1GeB8W47LquJ93t090PThlF77Q7d3VRs9Et3X4osibFuO5WFNlbWtMo5IAbzPpltmxqlSMzd/oBMB114dUpeOxeYWuaiOxQnUjR5VB4Ktjb7KLSbcUf0dOQUWhLnHlJJVZGN/31qPeGCiTD7Atlhwd83YOndbW1YTQa2N3VwRtdjPKj9EqPJAle8AGMPT9lecpmDXiT6c+QkWSfwYsEX+YvxMu6a+NchT0L7LGIwCGZV5vNWqwtMtt6eT6NBb0wipgdPUxCTSHDC9FLe3NKCz+yGeRfJGeANfSmfW5q8TLO2Y9/0hIxFpPC1s51E8LrdXj0qlkRNk48ppU5EV71cSKJg8r+xWYzcsGQ2tS1+7ntrm/QIRHpgxR96j1lV28biagerKm7nx6bHME45Ca56XXZkUABKJPZiksdBWb6Vu1fs4I/+03CNy85hQqPJ7IoCNjT6iXumy/Gho0Sn3tzPGdHrM1J4o14yv4JgJM5L6xvh5N/IfkVPfbN3DvjmRi8/z3tCtmE4+rspe91cYGqZnCe+0zAWunentSOspmlsafYyudQlM5tApiankMXTSzllZhl3vV5Dq22CdDG+9zdY/QBN3UH2tLbzc9/vyG/9EM67Dy76Jzg9Kd1DrpN1IiGEOE0IsVkIUSOEuH6UX5vjpnrY1R7gzLnlfOmI5Cs/c505VQWEo3G686dA8yhaEoEwBTYzRr8eaHSmLgXxsPFFVBXZeOqj3USshUTO+JMcdfn4l9BCPsobX+PY0BvwuR/IvP2DiEK7hRKnlc0R/UbZsT1tr9XmD9MZiDCl1Ckzm5xlYM5L+ev85PTpBKNx7li+FU7/vayLev6HRB+7jOcsP2ds+ztw1h0yVVaxD1kVjRNCGIE7gZOBemC1EOIZTdNG7e70P2fO5OpjJ8m5ygpmV8rg9XbjRA7xLwVf86jM1e0IRPrSXyGlloQQgnPmV3LXGzUcesMrjC0q4JnTb8P44nX0/H46N8XDtLum4j7mhyl7zVyiLN/KroheZOltTFvwdmuTTDOfUuaE2l0pjUf0Z5LHycULx/Kv93YxtsjO5Dm3YOos4bA9/8ZkyCP25acxTj4+La/9WSCrRAJYCNRomrYNQAjxGLAEGDWRyM8zy/kFCgAmFjtwWIx8HK7gEJDWxCiIRGNXUE4q8zWBxQUWx4FPGgZfPHwsr2xsYqzbzqufNvHrhiPoNv2Co0JvMtVtZvoXfp0zTRxTjdthYbtfPhzgbUjb69Q0ywSByaVO6Nqd1lnxPzplOo1dQW5c9ikADstZOAyncdah4/jfySqDaX9km0hUAv3bNdYDR/z3QUKIq4GrAcaNS12gS7EvBoNg2hgXq7uCfAWgY8eovO7OtgAnTi/VC+lSX+061m3npe8fC8C1//qAR1btJD9vJld9/au91tPBSrHDwketdkBAd/pEYmuzD6fVxBiXVYrR1NPS9loFdjP3XbaAt7a2Eo7GOXaqB4sp67ztWUm2icRAfRe0fRY07V7gXoAFCxbs831FaikvsLG5wSWbryU6daYRXyhKqy/E+BI7bEtdId1g/OrsWRiE4Kufm3jQCwSA22GlxR8HlyetlsTWJh+TS52IULeciJfmLDIhBMdOVUHp4ZJtUloP9HdMVgF7MrQXhY7HZaXJF5U+41GwJHa1yQKr8W6HvEmluW9OidPKHRcfMmizw4ONYqcFfzhG3DkmrSKxo81PtcfRF3c6yJIEcoVsE4nVwBQhxEQhhAW4CHgmw3s66PG4rHiDUWKF4/radqeRnW2yW+d4t022UUhB62jF0HE7ZCwmbC9Nm0homkarL0SpKw+8+nOgep+zkqwSCU3TosC1wEvAp8BSTdNGr8xXMSAepxWAHnvVqFgSOxKWhDMG0Z6Upr8qDkxCJALW0iENZhoJXT0RIjFNdn9NxD3ylUhkI9kWk0DTtGXA0Hr6KkYFj0uKRFdeJc5AG4R8YE1fivCudj/FDguuNBTSKQ5MsS4S3eYS3P4WWWSY4kyvRItwj8sK3cqSyGayypJQZCcJkWg163/EaXY57WgNML7YDj79KVZZEqNKwpJoN8pmiPia9nP0yEi0CC92WKW1klcIZlvKX0eRPEokFAckIRJ7hH6zTrPLaVd7gPHFjr62zsqSGFWKHfL9btb0SYBpcDn1Dhty6e4mFbTOWpRIKA6I22FBCNgRS7RqSJ8lEYrG2NPVoyyJDJJvM2EyCBriCZFIfYJhYo5EidMqr69cTVmLEgnFATEbDbjtFuqCebL6OY2WRF17D5oGE4r11EhTHuSp2oXRRAhBkcNCfTRRdZ16S6LNLxs4FtkTloQSiWxFiYRiSHhcVpq9YSgan9aYxO5OOf2ussgmb07OsqRnWyuGT7HDQl3QJudtdKfBkvCFcDssGLUY+JvBpdxN2YoSCcWQ8ListPhCsqCus+7AJ4yQ5u4gAGWuPH0inXrCzARuh4W2QFT+/6ehVqLFG5auJn+znHqo4k5ZixIJxZDwuKzSj+wqk3/YaaJZ91WX5lvT1rdJcWDcDosc/OQqS0t2U5s/JEWit0ZCWRLZihIJxZDwuKy0eENoDo8c/xiLpuV1mruDuPJM5JmN8uaU5r5NioEpdlho84XA4QFfS8qv3+oLUey0qGrrHECJhGJIeJxWwrE4QasH0CDQlpbXafaGKHVZIRyAULeyJDKE22GlOxglbvekxXJsTbiblCWR9SiRUAyJRK1Ep0HPeEmDCwKkSJTl5/VLf1WWRCZwO2VBXY/FLR8I4rGUXTsQjtITifWlvxpMYC9J2fUVqUWJhGJI9FZda3qn1DTFJZq9QWlJ9BbSKUsiE7jtUiS8ZrcMLKfQcmz16tXWTn3yoHMMGNStKFtR74xiSIzJl7OH90RdciENfmpN02juDlGan9eXUaMsiYxQYJPTGb0GvaDOl7qHgpZE3yan3rdJ1UhkNUokFEOivED21dkZ0hv7pcHd1B2MEorGpSXhUy05MkmhXYpEpyFhOabuoaDN17/aukEFrbMcJRKKIWGzGCmym9npFWC2p/SmkaDFK2skPC49/dVgBps75a+jODAJS6IVPQaVwvc70dxP9W3KDZRIKIbMmAIbDd2JtMjUWxLN3XqNRKKQzlmmfNUZokC3JFriiUSF1LmbEs393KYQhL3Kkshy1F+gYshUFOTR0BWUN+8U3jQSNOmWhCqkyzxOiwmDgOawFYyWlCYqtPlC5OeZsPbo1okSiaxGiYRiyJQX5tHQ1QPO0rSIRMKSkCmwqpAukxgMggKbma5gFBylKU1UaPWFKek/bEgFrrMaJRKKIVNeYKMzECFqS0+BVbM3hN1ixGk1KUsiCyiwmensiYAzte93iy9EicPal8GmmvtlNUokFEOmvECmwXabimTefCyS0uv3VltHQ9DTriyJDFNgt9DVE9EtidTGJGTQWlkSuYASCcWQSaTBdgg9d97fmtLrt3iDfUFrUJZEhimwmekKhHVLIpUpsHpLDm8jWAvA4kjZtRWpR4mEYshUFEpLojGmF9Sl2OXU7g/L+cq91dbqCTOTFNrMfZaEvwXi8aSvGY7G6eqJ9JtIp6zFbEeJhGLIlOlV17t7q65TKxIdgQhFDrMaW5ol9MUkSiEehWBn0tds88vkhGKnmkiXKyiRUAyZPLORYoeFXUG7XEihu0nTNDoDYQrtlr5xmeopM6MU2s1090RkJ1hIyUNBW6KQLuFuUtZi1qNEQjEsygvz2OaXzf7oaU/Zdf3hGJGYRpHdLGMSwiCL9hQZo8BmJq5BwKJXvafAvZjo21TisPQVTCqyGiUSimFR5spjp88kb+KB1IlEh18+YfZaEg4PGIwpu75i+PQ2+TOmrslfa2LyoDkA8YgSiRxAiYRiWDisJnyRONiKUmpJdASkSBTZ1RNmtpAQib5stuQznNr0h4FiuuSCszTpayrSS9pEQgjxKyHEbiHER/rHGf2+91MhRI0QYrMQ4tR+66fpazVCiOvTtTfFyHFYTfhDUdl4L4UzBjoCsuaiyG7WO4OqeESmSYhEe9wuBwOlyJKwmY3Yw/rvjhKJrMeU5uv/SdO0W/svCCFmAhcBs4AK4FUhxFT923cCJwP1wGohxDOapm1M8x4Vw8BpNeILRcHuTqm7qTPQ393UBOXzU3Ztxcgo1AcPdQaj0v2XgphE72zrhOAoizHryYS7aQnwmKZpIU3TtgM1wEL9o0bTtG2apoWBx/RjFVmEw2oiGIkTt7mhpyNl103EJNw2g3RrqKyXjJOwJGSthCcl/Zva/HohXa9IKEsi20m3SFwrhFgnhHhQiIRjk0qgrt8x9fraYOv7IIS4WgixRgixpqUl9XMNFIPjtErjM2otSm3gOhBBCCiIdwKaqrbOAnoHDwX0WolUZDd5Q7pINMnusnmFSV9TkV6SEgkhxKtCiPUDfCwB7gYmAfOBBuCPidMGuJS2n/V9FzXtXk3TFmiatsDjUWmSo4lDF4mwpSClgevOQJj8PDNGv15trfo2ZZw8sxGLyUB3b/+m5B/IWn1hPC7d3eQoBTHQn70im0gqJqFp2klDOU4IcR/wnP5lPTC237erAL3T16DriiwhIRJBUwHOaBDCAbDYk75uRyCi10joNyLlhsgKeltz5OsxCU0b8Y09Htdo94codlihpVm9xzlCOrOb+juVzwXW658/A1wkhLAKISYCU4D3gdXAFCHERCGEBRncfiZd+1OMDKdV1i4ETPrEshRZEx2JauuAXsVtL07JdRXJUWg3y/RkRynEwhDsGvG1OgJh4hqUOBNpzkokcoF0Zjf9XggxH+ky2gF8HUDTtA1CiKXARiAKfEvTtBiAEOJa4CXACDyoadqGNO5PMQIcFvkr4zfoIhFog4KqpK/bEQjjcVr7Wn04SpK+piJ5ih1W2UojcUP3t4JtZHGEvtnWeuC64pBUbVORRtImEpqmXbqf790I3DjA+jJgWbr2pEiehLup25AvF1IUvO7wR5ha6pKWhNEC1vyUXFeRHB6XlY/rO/tapPiboWTyiK6VmG1dbDNJsVHprzmBqrhWDItEdlOX0DvBpsjd1Nvcz98G9hIV0MwSSpxW2UrDkXyTv4RIjDH7QYtJF5Yi61EioRgWCUuiE6dcSIElEY7G8YdjuB1mWSPhUPGIbMHjsuIPx/D3NvkbeYZTwt1UjN5yXMUkcgIlEophkbAk2uP6NLEUFNTtVW0daJWWhCIrKHHKquvWmFM2dUzSkjAZBK6o/juj3E05gRIJxbDIMxswGgTeiACLKyWWRF/fJov0Vaugddbgccm28K2BqMw4S6Kgrk1vySH8qto6l1AioRgWQggcFiP+UAzsRSlp8tfXAdYsr6fmSGQNCZFo8YaSLqhr7T/bGpRI5AhKJBTDxmk1ySZ/NndKAtcJd1ORJQZhn6qRyCI8zn4i4fQkGZPo15LD4gSrK1XbVKQRJRKKYdPbLtxenBJ3U7tfupvcolt/AeVuyhbcDgtCQIsvrL/fIx9Z2+YLyw6wqhV8TqFEQjFsHAlLwp4aSyLhbirUdJFQgeuswWQ0UOywSEvCXjJi96KmabT4QtIy8Taq3lw5hBIJxbBx7jV4KDXZTXlmA9aQfi0Vk8gqSpxWWePgKJFtOWKRYV/DG4oSjsb7YhLKksgZlEgoho3DmghcuyHUBbFoUtfrCERw9+/bpNxNWYXHZdUtCb1WYgQuxrZESw6nWYlEjqFEQjFsHP0D15B0rURftbUeFFWB66zC47T2uZtgRHGJRLV1qSUC0R4lEjmEEgnFsHFaTfjD0X5PlsmlwXYEIhQ5zLJGwmCGvIIU7FKRKkpc0t2kJd5v/whEwitFokwkCumUSOQKSiQUw6Y3u8mmDxtMMni9V5twe7Hq25RleJxWQtE4fpP+fo/goaDVn2jJof+uKEsiZ1AioRg2TquJSEwjbE3cNJITic7EwCG/KqTLRkpcemuOuF7XMAKRaPGGEALyw7oVokQiZ1AioRg2Dos+eMiY/OCheFyjMxCWLTkCraq5XxbiceYB0BSxyYURuJtavCGKHRaMAb0lhxKJnEGJhGLYJDrB+lIwU6I7GCGu0Re4VjUSWUdva45ATLoYR2RJBPG48mRmk6q2zimUSCiGTaITrDdukQOCkrAk+pr7JdxNSiSyjd5OsL0FdSOzJDyuRCGd6v6aSyiRUAybhCXhD8f0grpkREIGNN15GoS9ypLIQorsFowGQYsvpLfmGL4l0ewNUZoQCVd5GnapSBdKJBTDptfdlGjNkYRIJJr7eQw+/eJKJLINg0FQ4tRbczhKpMU3DOJxjVafbkn4GsGlLIlcQomEYti48nR3UzD5TrAdieZ+mj6tTIlEViJbc4T1h4LhuZs6eyJEYhqlTouyJHIQJRKKYVNklz7qzkA4aUsi4W7Kj6vmftlMX2sOvcmfpg353Ba9kK7cFoVIQMUkcgwlEophU2g3A3qL7yQ7wXYGIhgNAntipKWyJLKSkkRrDkcJxKOy0d8QafYGASg36NaisiRyCiUSimFjNhpw5ZmkFWBzy95Nw3iy7E97IEyhzYxIBEOVSGQlHpeVNn+IuG34rVgSlkRpoiWHiknkFEokFCPC7bBIkbC75ZNlqHtE15HN/RJ9m0yQV5jinSpSgcdpJRLT8Jv092cEIlEUS7TkUJZELqFEQjEiiuwW2v3hvk6wI4xLdPgjMsbhb1F9m7KYEr2grkPTi+CGUXXd7A1htxjJC+rV1iomkVMokVCMiL0sCRi5SPQ292tTQesspnfWdWz4/Zv6CumawOxQ1dY5RlIiIYS4UAixQQgRF0Is+K/v/VQIUSOE2CyEOLXf+mn6Wo0Q4vp+6xOFEO8JIbYKIR4XQliS2ZsivRTZLTJ9NTH7YYTB694biF/1bcpmEq05GqIOuTCMNNhmb1AvpGuQ8QhlLeYUyVoS64HzgBX9F4UQM4GLgFnAacBdQgijEMII3AmcDswELtaPBbgF+JOmaVOADuDKJPemSCNFdnPS7qZILE6bP0xZvlVv7qc6wGYrCUuisccAJtuw3E29DwK+JhWPyEGSEglN0z7VNG3zAN9aAjymaVpI07TtQA2wUP+o0TRtm6ZpYeAxYIkQQgAnAE/o5z8MnJPM3hTppchhoScSI2geeSfY3mllrjxZxavcTVlLvs2ExWiQrTkcJcN6KGj2hqTIeBtUPCIHSVdMohKo6/d1vb422Hox0KlpWvS/1gdECHG1EGKNEGJNS0tLSjeuGBpuh/QGdsRtgBiRJdHcrU8rsws5K1ulv2YtQvRrzWEvHrK7KRCO4g1GdXeTsiRykQOKhBDiVSHE+gE+luzvtAHWtBGsD4imafdqmrZA07QFHo9yUWSCRNV1e08MbIUjsiSaE5W4Fr9cULOtsxqPK9Gao3jI7qY9nbKQbrwzDhG/qpHIQUwHOkDTtJNGcN16YGy/r6uAPfrnA623AoVCCJNuTfQ/XpGF9FoS/siIO8E2dcsbSGlvcz8l+NlMvs1MV08ECkugrWZI5+zp7AFgnEWvo1GWRM6RLnfTM8BFQgirEGIiMAV4H1gNTNEzmSzI4PYzmqZpwOvABfr5lwNPp2lvihTgduitOXr7N42sfbQQUITe4kG5m7Ka/DwzvmBkWO3CEyLR25JDxSRyjmRTYM8VQtQDRwLPCyFeAtA0bQOwFNgIvAh8S9O0mG4lXAu8BHwKLNWPBfgJ8AMhRA0yRvFAMntTpJdCe8KS0N0PI3A3tXiD+khL3XWhLImsxpVnkp1/7cUQ9kEkeMBz9nT2YBBQFFfV1rnKAd1N+0PTtCeBJwf53o3AjQOsLwOWDbC+DZn9pMgBCm2JJn96Gmzj+mFfo7k7pGc2JSpxS1O5RUWKcVpNcoZIwuILtEHBoPklAOzuDFKWn4fJXysXVEwi51AV14oRYTIaKLCZ+9qFjzBwXZqv588brWDNT8NOFanClWcmEI4Ry0vUxhw4eL2ns4eKQht07waLS73HOYgSCcWIcTsstAciYCuScwKG4H7oT1O3Xonra5FWhKrEzWqc+rCpgHnoTf72dOki0VUPBVXqPc5BlEgoRkyR3azHJPQny2FYEzF9pGWvu0m5mrKexERCn1EXiQOMMY3HNRo6g1QU5kFXHRSO3e/xiuxEiYRixLgd/90JdugZTm3+EHEN3d3UDA4lEtmOS59t3i30KvsDuJta/SHCsTiV/S0JRc6hREIxYgrtI+8Em6i2lu6mZnCqzKZsx5UnkxW6cIAwHPChIFFIV+VAD3IrkchFlEgoRkxBorhqBJ1gE4NoPA6zfCJV+fNZT8Ld5A3FpPV4gKrr3kI6kz6RrkC5m3IRJRKKEVNok9kuYUsikDkMkdCb+5WZAqDFlbspB0gErnvTYA/gbuotpNP0/mrKkshJlEgoRkyhPeF+0IfIDMOS6AyEASjS9HNU4DrrSVgS3cGo7Nh7gIeChq4gNrMRe7BBLiiRyEmUSChGTL5eUNcVMciJY4GOIZ/bEYhgMgjsYSUSuYLLKt9vbzAiY0jexv0e39QdpCzfiuiqlzEMVW2dkyiRUIyYRGuOrp7hF9R16mNLhV93RSh3U9aTZzZgMgh8wSjkV8r5ENqgzZplsaQrT2Y2ucrBaB7F3SpShRIJxYgp0C2JzkRB3TBSYDv8EYrsZlltDcqSyAGEEH39m/IrZAFlsHPQ41u8ITz5VlkjoVxNOYsSCcWISfRvkhlOw2sX3h4Iy5kU/mYw5YHVla5tKlKIM0/v35RfIRe6B+/o35yoqFc1EjmNEgnFiEkErjsDkWF3gpXuJrNsyeFQLTlyBZfVLGMS+Xpjv0FEwh+K4g/HKHVaZN+m/P03AlRkL0okFCMmUVzV2TP8wUMdgYi0JHxNytWUQzjzTDK7KWFJdNUPeFxi6uA4czfEwlA0YZR2qEg1SiQUI8ZoEOTnmehOuJuCXRCPHfA8TdPoDIQpcljA36JEIofIzzPJwLVzjMxYGsSSaNanDo4Veht4JRI5ixIJRVIU2i2y5sHmBjToGTyQmcAfjhGJaTJw7W1U1dY5hNNqwhuKgNEkhWIQkWjSLYnSqF4joUQiZ1EioUiKAptZupuG0Qm2wy8L6dx5Qlbtusakc4uKFOLKM0tLAqTLqXv3gMclLInC0G5AqJYcOYwSCUVSFNr1/k3D6ATbGR0IloQAABJzSURBVIgAUGrolgvKksgZEimwmqbpIjGwJdHiDWExGbD6dsnMJpNllHeqSBVKJBRJUWAz0xWIDKsTbIfeksNDYu6xsiRyBWeeiWhcIxiJy4ylwWIS3hAepxXRsUu5mnIcJRKKpBiRuynRtymeaMmhLIlcIZHR5g1FpCUR9kKwe5/jmr1BOSukYwcUjR/lXSpSiRIJRVIk3E2arUguDMGSSLibXBHdNaUsiZwhMXjIG9x/QV1zd4hKhwa+RiicMIo7VKQaJRKKpCi0WYjFNXyaDQymYVkS9lArIFTfphyid4Rpon8TQPe+tRLN3hDTrHrDR+VuymmUSCiSord/U090yAV1nYEIrjwTBn+TnEtgNKV7m4oUkW/rV0CZaLXRWbfXMcFIjK6eCBONevNGJRI5jRIJRVIU2P+rf9MQLYneamvlasopxhbZAdjV5pfuJqMFOrbvdcy2Fj8AE5RIfCZQIqFIir2a/A3RkpAtORKFdEokcomyfCsOi5HaFj8YjFA4Htr3FoktTV4AKuN7wOKU1qIiZ1EioUiKgr2a/A3V3SRnSUhLQmU25RJCCCZ6HGxrldYCRRNkBlM/tjR5MRkEBd4aKJ2hmjfmOEmJhBDiQiHEBiFEXAixoN/6BCFEjxDiI/3jb/2+d5gQ4hMhRI0Q4g4h5G+QEMIthHhFCLFV/7comb0pRodCmyyS6ggMffBQuz+M22bQm/spSyLXqC5xUtvsk1+4J0qR6Dd8aEuTl2qPA0PLJikSipwmWUtiPXAesGKA79VqmjZf/7im3/rdwNXAFP3jNH39emC5pmlTgOX614osp8ghLYkOf7jP3bSfaWXxuEZTd5Bqewi0uIpJ5CCTPE72dPUQjMSgaCKEuveyIDc3eTm0OCpbrniUSOQ6SYmEpmmfapq2eajHCyHKgXxN097VNE0D/g6co397CfCw/vnD/dYVWYzVZMRpNdGesCTiEQj7Bj2+2RsiEtOotkm/tSqkyz2qPQ40Dba3+qUlAb3B60A4Sl17Dwsd+sRBZUnkPOmMSUwUQnwohHhTCHGMvlYJ9E+qrtfXAMo0TWsA0P9VyfM5gtthoT1hScB+4xL1HQEAqsx6la6yJHKOao8D0LOYEplLelxia5N8QJhh0P/MS2eO8u4UqeaACepCiFeBgf6Sf65p2tODnNYAjNM0rU0IcRjwlBBiFjBQBGtw38Tge7oa6bJi3Lhxwz1dkWKKEiJh79fkb5BWDLs7ewAoF6pvU65SXeIEYFuLD2ZMkIt6htPmRGZTZId8aFCzQnKeA4qEpmknDfeimqaFgJD++VohRC0wFWk59B92WwUkavqbhBDlmqY16G6p5v1c/17gXoAFCxYMW2QUqaXYYaGpO9hnSewneF3fIUWiKNIih9a4ykdji4oUYrMYqSy0UdviA7NNvoe6u2lrkxeLyYCre6u0IlRmU86TFneTEMIjhDDqn1cjA9TbdDeSVwixSM9qugxIWCPPAJfrn1/eb12R5bgdFhm4thfLhUDHoMfWd/RQ7LBg9u2RmU1G8yjtUpFKqj0Oalr02FO/NNhd7QHGF9kQKrPpM0OyKbDnCiHqgSOB54UQL+nfOhZYJ4T4GHgCuEbTtMTj5TeA+4EaoBZ4QV+/GThZCLEVOFn/WpEDuB0W2vzhviZ/+7UkAlQW2WS/n4KqQY9TZDczy/PZ0ugjEotD8WRo/hQ0jbr2Hg53tciMpzFzMr1NRQpIqmmOpmlPAk8OsP5v4N+DnLMGmD3AehtwYjL7UWQGt8NCKBqnx5SPXRjk3OpB2N3Zw7QyF7TXQ/n8UdylIpXMqiwgHIuztcnHzKrD4cNHoK2G+o4A37KvlwdVH5/JLSpShKq4ViSN2y4L6toCMbCXyCK5AdA0jd0dPVQV5kHXbiioHPA4RfYzuyIfgPV7umDckQAEalfSHYwyO7hW1k+oORKfCZRIKJLG7ZAi0e4Py7oH38CWRKsvTCgaZ5IjCLGQmnucw0woduC0mtiwuwtKpoDNTah2JSaiVHathUmLM71FRYpQIqFIGrdTF4lAGJyeQS2JRI3ERHOnXMhXlkSuYjD8//buPraq+77j+Pvre+0L2GDA5tFgMInXzmFRQmnGlIc/kqwB1IXuQRVZpaG1UtQp1VZV0/KANnXqOimrtklTu1WZEi2dspH1IQqbWi3ZVG1/rCRNE0KgebAxTgEbDAZsjPHzd3+c34WL8TEx9/qca/vzkixf/8659ke/e3y+9/c7D9doWbuEw5190RlMjduo6nydO62N7OgAbFKRmCtUJKRo+emmc/1hJBFzTCJ/jURDxdmoQQeuZ7XNa2v5eWcfY+MO63+V6v4O/iC7H7cKaLr3xr9AZgUVCSlafiRxfmAYqsNIYpL7N3WGIlE3FoqIisSstrlhCZdHxjh2th8atwFwf+Yg3PMVWKj7c84VKhJStMW5LJUZoyd/TGJsGAZ7r1uvq3eQ6qoMCwa6ILvg6nUVMivdtrYWgCOdfdCwlf+o/Rx/Uv2X2AN/mnIyKSUVCSmambFsUbigLn8bhv7rL5g/1TvI6toFWO+J6HiErsad1Zrqq8lWWHS/pkyWb9puzq28K+1YUmIqElIS+QvqqF4RNVy6vkh09Q6ypnYh9J3UVNMcUJWtYGN9Na3dF6+e3hw+3lTmDhUJKYkrt+bI3/p7kpFEV+9l1tQugAu/0Omvc0TzyhpaT/dzYWCEi0OjrFu2MO1IUmIqElISV24XHjPdNDI2TvfFITZUj0YHtutuSSGllFrzqsV09FziJ+09ALSEi+xk7lCRkJKoq67ibP9QdCdYy1w33XTm4hDucEs2tNfdmkJKKbXmlTWMO3znJx0sqKzgExt0VtNcoyIhJVFXk6NvcJThca6eBlugq3cQgMbxk1FDfXPCCWUmNK+KPlviQPs5PrlxOblsJuVEUmoqElIS9TU5gKtTThNuzXEqFImVw8cBg+Wbko4oM6CpvppMRXSW2j231qecRmaCioSURF24oO5s/1AoEhNHEtGFdLUDHbC0EbK5pCPKDMhlM2yoi85oultFYk5SkZCSyI8kzvYPQfXK627Ncap3kIWVGSovtGuqaY75+OrFLK+uomWNDlrPRUV9noRIXv2VkcQwLF4VjSTGRiETbWJdvYOsWZLDeo7ChrvTjCol9tTOX+bCwAgVFbo4ci7SSEJKIj+S6Okfio43jI9C7/Ery7t6L9OyuB9GLun01zlm3bJFbG6oTTuGzBAVCSmJRVUZFlRWRNNN+dNbe45eWX6qd5CWXJiC0nSTyKyhIiElYWbU1+To6R8uKBJtAAyOjHGqb5CPZTqj9joVCZHZQkVCSqauJseZ/qHoOoncEjgXjSSOnb3EuEPzaGu0bMnalJOKyEelIiEls6KmKhpJmEXHHcJIorW7H4BVfYehYavu/ioyi6hISMnU1+SiYxIQTTmFItHW3U+tDZC70AYNn0gxoYhMl4qElExdTXS78PFxj4rEheMwMsjR7n4eqA2341inIiEym6hISMnU1+QYG3d6L4+Eg9cO5zto6+7nngUd0Uprt6QZUUSmSUVCSqau8KrrcG+msTOtHDt7ic20RWc1LVyaZkQRmSYVCSmZa666DqfB9nW8iY0NsmHgMKzbmmY8EbkJRRUJM/uGmb1nZofM7CUzW1qw7EkzazOz983soYL27aGtzcyeKGhvMrPXzKzVzF40s6pisknyrrl/04IlcMv91Bx8lj/M/oDc8Hm443dTTigi01XsSOJVYLO73w58ADwJYGYtwG7gNmA78PdmljGzDPAtYAfQAjwS1gV4Gvhbd28GzgNfKDKbJCxfJM5cDGc4/frXyI708Vh2PyObHoSm+1JMJyI3o6gi4e6vuPto+PEAkP90+13APncfcvdjQBtwV/hqc/d2dx8G9gG7zMyA+4Hvhec/D3ymmGySvGWLKqnJZfnFuYGoYfVm/m/JDsaooPJTf55uOBG5KaU8JvF54EfhcQNwvGDZidAW114HXCgoOPl2mUXMjKb6atrPXrrS9tTw7/O1jc/D6s0pJhORm3XDW4Wb2X8BqydZtNfdXw7r7AVGgRfyT5tkfWfyouRTrB+X6VHgUYDGxsbY7JK8pvpq3jp+HoDzl4b58MIIq3/ttpRTicjNumGRcPcHp1puZnuATwMPuHt+x34CWF+w2jog3N1t0vazwFIzy4bRROH6k2V6BngGYOvWrbHFRJLXVF/Nvx/qZGh0jHdO9gLwK7qNtMisVezZTduBx4GH3X2gYNF+YLeZ5cysCWgGXgd+CjSHM5mqiA5u7w/F5cfA74Tn7wFeLiabpGPTimrc4cOegStFYvNaFQmR2arYT6b7JpADXo2OPXPA3b/o7kfM7N+AnxNNQz3m7mMAZvYl4D+BDPCcux8Jv+txYJ+Z/QXwFvBskdkkBZvqawBoP3OJwyd7aVy+iNpFlSmnEpGbVVSRcPdbp1j2deDrk7T/EPjhJO3tRGc/ySy2sX4REN0e/NCJXu5o1BXWIrOZrriWklq8oJKVi3N8943jnLxwmW1Ny9OOJCJFUJGQksufBtu4fBGf/eT6Gz9BRMqWioSU3KYV1QA8tfPj5LKZlNOISDGKPXAtcp1H7mpkTe1CHrptsstrRGQ2UZGQkrt93VJuX6cD1iJzgaabREQkloqEiIjEUpEQEZFYKhIiIhJLRUJERGKpSIiISCwVCRERiaUiISIisezq5wTNTmZ2BvjwJp9eT/SBR+WmXHNB+WZTrulRrukr12w3m2uDu6+40UqzvkgUw8zecPetaeeYqFxzQflmU67pUa7pK9dsM51L000iIhJLRUJERGLN9yLxTNoBYpRrLijfbMo1Pco1feWabUZzzetjEiIiMrX5PpIQEZEpzNsiYWbbzex9M2szsydSzLHezH5sZu+a2REz+6PQ/lUzO2lmB8PXzhSydZjZO+HvvxHalpvZq2bWGr4vSzjTxwr65KCZ9ZnZl9PqLzN7zsy6zexwQdukfWSRvwvb3CEz25Jwrm+Y2Xvhb79kZktD+0Yzu1zQd99OOFfsa2dmT4b+et/MHko414sFmTrM7GBoT7K/4vYPyW1j7j7vvoAMcBTYBFQBbwMtKWVZA2wJjxcDHwAtwFeBP065nzqA+gltfwU8ER4/ATyd8ut4CtiQVn8B9wFbgMM36iNgJ/AjwIBtwGsJ5/oUkA2Pny7ItbFwvRT6a9LXLvwfvA3kgKbwP5tJKteE5X8N/FkK/RW3f0hsG5uvI4m7gDZ3b3f3YWAfsCuNIO7e5e5vhscXgXeBhjSyfES7gOfD4+eBz6SY5QHgqLvf7MWURXP3/wXOTWiO66NdwHc8cgBYamZrksrl7q+4+2j48QCwbib+9nRzTWEXsM/dh9z9GNBG9L+baC4zM+CzwL/OxN+eyhT7h8S2sflaJBqA4wU/n6AMdsxmthG4E3gtNH0pDBmfS3paJ3DgFTP7mZk9GtpWuXsXRBswsDKFXHm7ufYfN+3+yovro3La7j5P9I4zr8nM3jKz/zGze1PIM9lrVy79dS9w2t1bC9oS768J+4fEtrH5WiRskrZUT/Mysxrg+8CX3b0P+AfgFuAOoItouJu0u919C7ADeMzM7kshw6TMrAp4GPhuaCqH/rqRstjuzGwvMAq8EJq6gEZ3vxP4CvAvZrYkwUhxr11Z9BfwCNe+GUm8vybZP8SuOklbUX02X4vECWB9wc/rgM6UsmBmlUQbwAvu/gMAdz/t7mPuPg78IzM0zJ6Ku3eG793ASyHD6fzwNXzvTjpXsAN4091Ph4yp91eBuD5Kfbszsz3Ap4HPeZjEDtM5PeHxz4jm/n8pqUxTvHbl0F9Z4LeAF/NtSffXZPsHEtzG5muR+CnQbGZN4R3pbmB/GkHCfOezwLvu/jcF7YXziL8JHJ743BnOVW1mi/OPiQ56Hibqpz1htT3Ay0nmKnDNu7u0+2uCuD7aD/xeOANlG9CbnzJIgpltBx4HHnb3gYL2FWaWCY83Ac1Ae4K54l67/cBuM8uZWVPI9XpSuYIHgffc/US+Icn+its/kOQ2lsQR+nL8IjoL4AOidwF7U8xxD9Fw8BBwMHztBP4ZeCe07wfWJJxrE9GZJW8DR/J9BNQB/w20hu/LU+izRUAPUFvQlkp/ERWqLmCE6F3cF+L6iGgq4Fthm3sH2Jpwrjai+er8dvbtsO5vh9f4beBN4DcSzhX72gF7Q3+9D+xIMldo/yfgixPWTbK/4vYPiW1juuJaRERizdfpJhER+QhUJEREJJaKhIiIxFKREBGRWCoSIiISS0VCRERiqUiIiEgsFQkREYn1/xTTjNY58ml9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fd7a8d9b0>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# meanDiffResIR gets filtered once more (apparently using a Butterworth low-pass) removing a lot of noise\n",
    "def spo2_lowPassButterworthFilter(meanDiffIR):\n",
    "    v0 = 0\n",
    "    v1 = 0\n",
    "    ret = numpy.zeros(len(meanDiffIR))\n",
    "    for i in range(len(meanDiffIR)):\n",
    "        v0 = v1\n",
    "        v1 = 2.452372752527856026e-1 * meanDiffIR[i] + 0.50952544949442879485 * v0\n",
    "        ret[i] = v0 + v1\n",
    "    return ret\n",
    "plt.plot(meanDiffResIR[6000//decimation:6400//decimation])\n",
    "lpbFilterIR = spo2_lowPassButterworthFilter(meanDiffResIR)\n",
    "plt.plot(lpbFilterIR[6000//decimation:6400//decimation])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fd74676d8>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Example of a wrongly detected beat:\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fd73a9c50>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Final algorithm to detect individual pulses\n",
    "# Not super robust on our data, detecting some spurious pulses (see below)\n",
    "# We pass -lpbFilterIR as we inverted the whole signal when it was loaded.\n",
    "\n",
    "def spo2_detectPulse(lpbFilterIR):\n",
    "    PULSE_MAX_THRESHOLD = 2000\n",
    "    PULSE_MIN_THRESHOLD = 100\n",
    "    \n",
    "    PULSE_IDLE = 0\n",
    "    PULSE_TRACE_UP = 1\n",
    "    PULSE_TRACE_DOWN = 2\n",
    "    \n",
    "    currentPulseDetectorState = PULSE_IDLE\n",
    "    prev_sensor_value = 0\n",
    "    \n",
    "    ret = numpy.zeros(len(lpbFilterIR))\n",
    "    for i in range(len(lpbFilterIR)):\n",
    "        sensor_value = lpbFilterIR[i]\n",
    "        if sensor_value > PULSE_MAX_THRESHOLD:\n",
    "            currentPulseDetectorState = PULSE_IDLE\n",
    "            continue\n",
    "        if currentPulseDetectorState == PULSE_IDLE:\n",
    "            if sensor_value >= PULSE_MIN_THRESHOLD:\n",
    "                currentPulseDetectorState = PULSE_TRACE_UP\n",
    "        elif currentPulseDetectorState == PULSE_TRACE_UP:\n",
    "            if sensor_value >= prev_sensor_value:\n",
    "                pass\n",
    "            else:\n",
    "                currentPulseDetectorState = PULSE_TRACE_DOWN\n",
    "                ret[i] = 2000\n",
    "        elif currentPulseDetectorState == PULSE_TRACE_DOWN:\n",
    "            if sensor_value < PULSE_MIN_THRESHOLD:\n",
    "                currentPulseDetectorState = PULSE_IDLE\n",
    "        prev_sensor_value = sensor_value;\n",
    "    return ret\n",
    "\n",
    "plt.plot(data_ir[6000//decimation:6400//decimation])\n",
    "pulses = spo2_detectPulse(-lpbFilterIR)\n",
    "plt.plot(pulses[6000//decimation:6400//decimation])\n",
    "plt.show()\n",
    "\n",
    "print(\"Example of a wrongly detected beat:\")\n",
    "plt.plot(data_ir[4800//decimation:5200//decimation])\n",
    "pulses = spo2_detectPulse(-lpbFilterIR)\n",
    "plt.plot(pulses[4800//decimation:5200//decimation])\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Periodic mesurement reset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The original code resets the SpO2 estimation every 4 beats.\n",
    "We keep track of these as a data set which is non zero every 4th beat."
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   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f0fd7e23048>]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fda17f6a0>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def knock_out_pulses(pulses):\n",
    "    n = 0\n",
    "    RESET_SPO2_EVERY_N_PULSES = 4\n",
    "    ret = numpy.zeros(len(pulses))\n",
    "    for i in range(len(pulses)):\n",
    "        if pulses[i]:\n",
    "            n += 1\n",
    "            if n == RESET_SPO2_EVERY_N_PULSES:\n",
    "                n = 0\n",
    "                ret[i] = 1000\n",
    "    return ret\n",
    "\n",
    "                \n",
    "plt.plot(data_ir[6000//decimation:7800//decimation])\n",
    "spo2_resets = knock_out_pulses(pulses)\n",
    "plt.plot(spo2_resets[6000//decimation:7800//decimation])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# SpO2 estimation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f0fd7d852e8>]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fd7e5e208>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# First: Square the red and infrared signals\n",
    "data_ir_sq = data_ir * data_ir\n",
    "data_red_sq = data_red * data_red\n",
    "\n",
    "plt.plot(data_ir_sq[6000//decimation:7800//decimation])\n",
    "plt.plot(data_red_sq[6000//decimation:7800//decimation])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f0fd7d672e8>]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fd7da15f8>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Second: Accumulate the values, reseting to 0 every 4th beat\n",
    "def accumulate_wit_reset(data, reset):\n",
    "    ret = numpy.zeros(len(data))\n",
    "    sum = 0\n",
    "    for i in range(len(data)):\n",
    "        sum += data[i]\n",
    "        ret[i] = sum\n",
    "        if reset[i]:\n",
    "            sum = 0\n",
    "    return ret\n",
    "\n",
    "irACValueSqSum = accumulate_wit_reset(data_ir_sq, spo2_resets)\n",
    "redACValueSqSum = accumulate_wit_reset(data_red_sq, spo2_resets)\n",
    "\n",
    "plt.plot(irACValueSqSum[6000//decimation:7800//decimation])\n",
    "plt.plot(redACValueSqSum[6000//decimation:7800//decimation])\n",
    "plt.plot(pulses[6000//decimation:7800//decimation]*10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f0fd7cc9518>]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fd7d07780>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Third: Create a dataset which indicates how many samples have been accumulated so far.\n",
    "# Will later be used to calculate an average\n",
    "samplesRecorded = numpy.zeros(len(spo2_resets))\n",
    "n = 0\n",
    "for i in range(len(spo2_resets)):\n",
    "    n += 1\n",
    "    samplesRecorded[i] = n\n",
    "    if(spo2_resets[i]):\n",
    "        n = 0\n",
    "plt.plot(spo2_resets[6000//decimation:7800//decimation])\n",
    "plt.plot(samplesRecorded[6000//decimation:7800//decimation])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f0fd7c9ef28>]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fd7cda6d8>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Fourth: Calculate the RMS ratio (?) between red and infrared\n",
    "# After each reset, the ratio becomes a bit unstable as very few samples are averaged\n",
    "\n",
    "ratioRMS = numpy.log(numpy.sqrt(redACValueSqSum/samplesRecorded) ) / numpy.log( numpy.sqrt(irACValueSqSum/samplesRecorded) )\n",
    "plt.plot(ratioRMS[6000//decimation:7800//decimation])\n",
    "plt.plot(spo2_resets[6000//decimation:7800//decimation]/1000)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Original comment from TomoStrap:\n",
    "> This is my adjusted standard model, so it shows 0.89 as 94% saturation. It is probably far from correct, requires proper empircal calibration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
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   "metadata": {},
   "outputs": [],
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   "source": [
    "currentSaO2Value = 110.0 - 13.6 * ratioRMS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f0fd7c084a8>]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fd7c46470>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the values this creates.\n",
    "# Keep in mind that it becomes unstable every fourth beat due to the reset\n",
    "plt.plot(currentSaO2Value[6000//decimation:7800//decimation])\n",
    "plt.plot(pulses[6000//decimation:7800//decimation]/1000 + 96)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f0fd7bd72b0>]"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0fda150630>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot only the values where a pulse was detected\n",
    "plt.plot(currentSaO2Value[pulses > 0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "\n",
    "The majority of this code tries to detect the pulse. This information is used to periodically reset the algorithm and define the sample points.\n",
    "\n",
    "The actual SpO2 estimation is quite simple. Accumulate the signals, average them, put the result in relation and apply some magic scaling.\n",
    "\n",
    "Looks like the magic lies within this scaling. More reading to do...\n",
    "\n",
    "The commercial meter showed values between 96% and 97%. This implementation shows 96.5% to 98%. Not too bad I guess."
   ]
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