{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ThinkDSP\n",
"\n",
"This notebook contains code examples from Chapter 4: Noise\n",
"\n",
"Copyright 2015 Allen Downey\n",
"\n",
"License: [Creative Commons Attribution 4.0 International](http://creativecommons.org/licenses/by/4.0/)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [],
"source": [
"# Get thinkdsp.py\n",
"\n",
"import os\n",
"\n",
"if not os.path.exists('thinkdsp.py'):\n",
" !wget https://github.com/AllenDowney/ThinkDSP/raw/master/code/thinkdsp.py"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from thinkdsp import decorate"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"np.random.seed(17)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The simplest noise to generate is uncorrelated uniform (UU) noise:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from thinkdsp import UncorrelatedUniformNoise\n",
"\n",
"signal = UncorrelatedUniformNoise()\n",
"wave = signal.make_wave(duration=0.5, framerate=11025)\n",
"wave.make_audio()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's what a segment of it looks like:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {
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\n",
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