{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import seaborn\n",
"import numpy, scipy, matplotlib.pyplot as plt, IPython.display as ipd\n",
"import librosa, librosa.display\n",
"plt.rcParams['figure.figsize'] = (13, 5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[← Back to Index](index.html)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Understanding Audio Features through Sonification"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this exercise notebook, we will segment, feature extract, and analyze audio files. Goals:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"1. Detect onsets in an audio signal.\n",
"2. Segment the audio signal at each onset.\n",
"3. Compute features for each segment.\n",
"4. Gain intuition into the features by listening to each segment separately."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Step 1: Retrieve Audio"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Load the audio file `simple_loop.wav` into an array."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"x, sr = librosa.load('audio/simple_loop.wav')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Show the sample rate:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"22050\n"
]
}
],
"source": [
"print(sr)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Listen to the audio signal."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ipd.Audio(x, rate=sr)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Display the audio signal."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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IIXDLLbfg4osvBgBce+21+MIXvjD/b0CUJRx2ys3A+8fmXHkMyi1yqqGbkNWQ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vPPP4/777+fq7p5SCaTuOqqq1BZWQld17F8+XL+7ubpjTfewLPPPotf/vKXePrpp3HgwAH87Gc/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\nlNX/AzNmgIqMVE2AAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"librosa.display.waveplot(x, sr=sr)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Compute the short-time Fourier transform:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"X = librosa.stft(x)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For display purposes, compute the log amplitude of the STFT:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"Xmag = librosa.amplitude_to_db(X)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Display the spectrogram."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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kotH6whPxJfPqVx/9Enn28tG1Jy5fZYfqFZtxya+c4dJqHi6DYZYv1SmUg7tT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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Play with the parameters, including x_axis and y_axis\n",
"librosa.display.specshow(Xmag, sr=sr, x_axis='time', y_axis='log')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Step 2: Detect Onsets"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Find the times, in seconds, when onsets occur in the audio signal."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[12 33 55 66 76]\n"
]
}
],
"source": [
"onset_frames = librosa.onset.onset_detect(x, sr=sr)\n",
"print(onset_frames)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 0.27863946 0.7662585 1.27709751 1.53251701 1.76471655]\n"
]
}
],
"source": [
"onset_times = librosa.frames_to_time(onset_frames, sr=sr)\n",
"print(onset_times)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Convert the onset frames into sample indices."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 6144 16896 28160 33792 38912]\n"
]
}
],
"source": [
"onset_samples = librosa.frames_to_samples(onset_frames)\n",
"print(onset_samples)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Play a \"beep\" at each onset."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"# Use the `length` parameter so the click track is the same length as the original signal\n",
"clicks = librosa.clicks(times=onset_times, length=len(x))"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Play the click track \"added to\" the original signal\n",
"ipd.Audio(x+clicks, rate=sr)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Step 3: Segment the Audio"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Save into an array, `segments`, 100-ms segments beginning at each onset."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"frame_sz = int(0.100*sr)\n",
"segments = numpy.array([x[i:i+frame_sz] for i in onset_samples])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here is a function that adds 300 ms of silence onto the end of each segment and concatenates them into one signal.\n",
"\n",
"Later, we will use this function to listen to each segment, perhaps sorted in a different order."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def concatenate_segments(segments, sr=22050, pad_time=0.300):\n",
" padded_segments = [numpy.concatenate([segment, numpy.zeros(int(pad_time*sr))]) for segment in segments]\n",
" return numpy.concatenate(padded_segments)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"concatenated_signal = concatenate_segments(segments, sr)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Listen to the newly concatenated signal."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ipd.Audio(concatenated_signal, rate=sr)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Step 4: Extract Features"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For each segment, compute the zero crossing rate."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[11, 570, 11, 10, 568]\n"
]
}
],
"source": [
"zcrs = [sum(librosa.core.zero_crossings(segment)) for segment in segments]\n",
"print(zcrs)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Use `argsort` to find an index array, `ind`, such that `segments[ind]` is sorted by zero crossing rate."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[3 0 2 4 1]\n"
]
}
],
"source": [
"ind = numpy.argsort(zcrs)\n",
"print(ind)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Sort the segments by zero crossing rate, and concatenate the sorted segments."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"concatenated_signal = concatenate_segments(segments[ind], sr)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Step 5: Listen to Segments"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Listen to the sorted segments. What do you hear?"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ipd.Audio(concatenated_signal, rate=sr)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## More Exercises"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Repeat the steps above using other features from [`librosa.feature`](https://librosa.github.io/librosa/feature.html), e.g. `rmse`, `spectral_centroid`, `spectral_bandwidth`."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Repeat the steps above for other audio files:"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"c_strum.wav conga_groove.wav simple_loop.wav\r\n",
"clarinet_c6.wav oboe_c6.wav tone_440.wav\r\n"
]
}
],
"source": [
"ls audio"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[← Back to Index](index.html)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
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