{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy, scipy, matplotlib.pyplot as plt, IPython.display as ipd\n",
"import librosa, librosa.display\n",
"import stanford_mir; stanford_mir.init()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[← Back to Index](index.html)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Zero Crossing Rate"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The [zero crossing rate](https://en.wikipedia.org/wiki/Zero-crossing_rate) indicates the number of times that a signal crosses the horizontal axis."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's load a signal:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"x, sr = librosa.load('audio/simple_loop.wav')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Listen to the signal:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ipd.Audio(x, rate=sr)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot the signal:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
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