From d60b0b0d830289ca81ed788501a2d1009b32b172 Mon Sep 17 00:00:00 2001
From: Deepthi-01997264 <93890973+Deepthi-01997264@users.noreply.github.com>
Date: Mon, 14 Feb 2022 13:49:45 -0500
Subject: [PATCH 01/14] Created using Colaboratory
---
Copy_of_CS480_Assignment_1.ipynb | 931 +++++++++++++++++++++++++++++++
1 file changed, 931 insertions(+)
create mode 100644 Copy_of_CS480_Assignment_1.ipynb
diff --git a/Copy_of_CS480_Assignment_1.ipynb b/Copy_of_CS480_Assignment_1.ipynb
new file mode 100644
index 0000000..bb6f87c
--- /dev/null
+++ b/Copy_of_CS480_Assignment_1.ipynb
@@ -0,0 +1,931 @@
+{
+ "nbformat": 4,
+ "nbformat_minor": 0,
+ "metadata": {
+ "colab": {
+ "name": "Copy of CS480 Assignment 1.ipynb",
+ "provenance": [],
+ "collapsed_sections": [],
+ "include_colab_link": true
+ },
+ "kernelspec": {
+ "name": "python3",
+ "display_name": "Python 3"
+ }
+ },
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "view-in-github",
+ "colab_type": "text"
+ },
+ "source": [
+ ""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "asaW4NA0jK20"
+ },
+ "source": [
+ "![CS480_w.png](data:image/png;base64,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)\n",
+ "# Assignment 1\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "colab": {
+ "base_uri": "https://localhost:8080/"
+ },
+ "id": "Xv1Wc4ECfZwV",
+ "outputId": "5767d840-0215-42ef-b476-7dabdbef186b"
+ },
+ "source": [
+ "%pylab inline"
+ ],
+ "execution_count": null,
+ "outputs": [
+ {
+ "output_type": "stream",
+ "name": "stdout",
+ "text": [
+ "Populating the interactive namespace from numpy and matplotlib\n"
+ ]
+ }
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "LD_A0Idy5NY0"
+ },
+ "source": [
+ "from scipy.misc import electrocardiogram # scipy is a python scientific computing library\n",
+ "ecg = electrocardiogram() # let's load the scipy ECG dataset\n",
+ "import pandas as pd\n",
+ "import numpy as np\n",
+ "import scipy"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "code",
+ "source": [
+ "from scipy.misc import electrocardiogram\n",
+ "ecg = electrocardiogram()"
+ ],
+ "metadata": {
+ "id": "uq7l6TMnVjpx"
+ },
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "NFw0i1_4-ixY"
+ },
+ "source": [
+ "SAMPLING_RATE = 360 # this data was sampled with 360 Hz"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "MXCidk9L_VG8"
+ },
+ "source": [
+ "**Task 1:** Plot the data in the range from 9 to 11 seconds! [30 Points]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "s2n86tUP_pMZ"
+ },
+ "source": [
+ "# TODO your plotting code goes here\n",
+ "# please take the sampling rate into account to only plot the range\n",
+ "# between 9 and 11 seconds"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "code",
+ "source": [
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "\n",
+ "time_data = np.arange(ecg.size) / SAMPLING_RATE\n",
+ "\n",
+ "plt.plot(time_data, ecg)\n",
+ "plt.xlabel(\"time in seconds\")\n",
+ "plt.ylabel(\"ECG in milli Volts\")\n",
+ " \n",
+ "# display\n",
+ "plt.show()"
+ ],
+ "metadata": {
+ "id": "qMBeNxVWVm4H",
+ "outputId": "eb1638a0-bb5f-4ed1-f230-18522d54b202",
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 283
+ }
+ },
+ "execution_count": null,
+ "outputs": [
+ {
+ "output_type": "display_data",
+ "data": {
+ "image/png": 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\n",
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+ "