maxim-mbed.ipynb 8.79 MB
 schneider committed Oct 17, 2020 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 ``````{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook tries to recreate the SpO2 algorithm from https://www.maximintegrated.com/en/design/reference-design-center/system-board/6300.html using data collected with a card10 badge\n", "\n", "It tries to plot as many graphs as possible." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy\n", "import pandas\n", "import math" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# The dataset collected with the card10 badge contains red and infrared data at 100 samples per second\n", "lines = open('spo2-data-88-100').readlines()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "data_with_dc = [(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_with_dc])\n", "data_ir_with_dc = numpy.array([x[1] for x in data_with_dc])" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ `````` schneider committed Oct 17, 2020 54 `````` "[]" `````` schneider committed Oct 17, 2020 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 `````` ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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