{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Audio signal analysis with python\n",
"
\n",
"\n",
"## Phd. Jose Ricardo Zapata \n",
"![\"PyCON](\"./Img/logopycon.png\")
\n",
"PyCON 2018 - The Art of Coding\n",
"
\n",
"Medellin - Colombia"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "notes"
}
},
"source": [
"**Note:** This is a Jupyter notebook slideshow for a better visualization of the presentation I highly recommend to install RISE (Reveal.js - Jupyter/IPython Slideshow Extension)- turns the Jupyter Notebooks into a live presentation, then use a full screen view in the web browser (press F11)\n",
"\n",
"https://github.com/damianavila/RISE"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# About me (https://joserzapata.github.io/)\n",
"\n",
"Professor and researcher at Universidad Pontificia Bolivariana (UPB)\n",
"- Phd. Sound and music computing, Universitat Pompeu Fabra, Barcelona - España\n",
"- MEng. Telecommunications and BSc in Electronic Engineering, UPB, Medellin - Colombia\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# About me (https://joserzapata.github.io/)\n",
"## Interests\n",
"- Music Information Retrieval\n",
"- Audio signal processing\n",
"- Data science"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# What is Audio Analysis"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"Audio analysis refers to the extraction of information, description and meaning from audio signals for:\n",
"- Signal Analysis -> Ex: Voice diseases detection\n",
"- Musical Analysis -> Ex: Extract Rhythm, Melody and Harmony\n",
"- Classification -> Ex: Genre classification, mood recognition"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# What is Audio Analysis\n",
"- Storage -> Ex: Music compression (mp3, mp4)\n",
"- Retrieval -> Ex: Query by humming \n",
"- Music Recommendation\n",
"- Synthesis, etc."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Outline\n",
"\n",
"1. Python libraries for audio\n",
"1. Reading, writing and visualizing Audio signals in python\n",
"1. Frequency representation of audio signals\n",
"1. Applications -> Music Information Retrieval"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Python libraries for Audio Analysis\n",
"\n",
"\n",
"- **Scipy** ([scipy.signal](https://docs.scipy.org/doc/scipy/reference/tutorial/signal.html), [scipy.fftpack](https://docs.scipy.org/doc/scipy/reference/tutorial/fftpack.html), [scipy.io](https://docs.scipy.org/doc/scipy/reference/tutorial/io.html) )\n",
"- **Essentia** ([http://essentia.upf.edu](http://essentia.upf.edu))\n",
"- **Librosa** ([https://librosa.github.io/](https://librosa.github.io/))\n",
"- **Madmon** ([https://github.com/CPJKU/madmom](https://github.com/CPJKU/madmom))\n",
"- **PyAudioAnalysis** ([https://github.com/tyiannak/pyAudioAnalysis](https://github.com/tyiannak/pyAudioAnalysis))"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Audio signals in python\n",
"\n",
"- Reading and Playing audio files\n",
"- Visualizing audio\n",
"- Writing audio files"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Reading Audio Files"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"AudioFile = Data/Whistle.wav, Sample Rate = 44100 [=] Samples/Sec, Wav format = int16\n"
]
},
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Example: Reading audio file with scipy.io\n",
"AudioFileName = \"Data/Whistle.wav\"\n",
"from scipy.io import wavfile\n",
"\n",
"# Output fs: Frequency sample and data: Audio signal -> int16\n",
"fs, Audiodata = wavfile.read(AudioFileName)\n",
"print('AudioFile = {}, Sample Rate = {} [=] Samples/Sec, Wav format = {}'.format(AudioFileName,fs,Audiodata.dtype))\n",
"# For play audio in Jupyter Notebook\n",
"import IPython.display as ipd #Ipython functions for jupyter\n",
"ipd.Audio(AudioFileName) # play audio directly in a Jupyter notebook."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Visualizing Audio Signal"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt #Ploting library\n",
"from __future__ import print_function, division\n",
"%matplotlib inline\n",
"plt.style.use('ggplot') #plot style\n",
"plt.rcParams['figure.figsize'] = (15, 5) # set plot size\n",
"plt.plot(Audiodata)\n",
"plt.title('Audio Waveform with no proper axis values',size=16);"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Set proper values for plot axis\n",
"import numpy as np\n",
"# set data amplitude values between [-1 : 1] Audiodata.dtype is int16\n",
"AudiodataScaled = Audiodata / (2.**15)\n",
"#Set x axis values to milliseconds\n",
"timeValues = np.arange(0, len(AudiodataScaled), 1)/ fs # converting samples/Sec to Seconds\n",
"timeValues = timeValues * 1000 #scale to milliseconds\n",
"plt.plot(timeValues, AudiodataScaled);plt.title('Audio Waveform',size=16)\n",
"plt.ylabel('Amplitude'); plt.xlabel('Time (ms)');"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Writing Audio Files"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Directory files before writing = \n",
"Beastie.wav History_background.wav Journey_beats.wav percussive.wav\n",
"disco.wav History_foreground.wav Journey.wav\t SMC_9.wav\n",
"harmonic.wav History.wav\t LessGain.wav\t Whistle.wav\n"
]
}
],
"source": [
"# Making some modifications to audio file\n",
"LessGaindata = AudiodataScaled/2.0 # Dividing by two the amplitude to the signal\n",
"# Converting to int16 to save the audio file with 16 Bits @ 441000 Hz freq sampling\n",
"LessGaindata = LessGaindata*(2.**15)\n",
"LessGaindata = LessGaindata.astype(np.int16)\n",
"print(' Directory files before writing = ');\n",
"!ls ./Data # Jupyter Magic :)\n",
"# Writing de audio signal to a file\n",
"wavfile.write('Data/LessGain.wav',fs,LessGaindata)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "notes"
}
},
"outputs": [],
"source": [
"## Note: You can write the audio file as float point in this way\n",
"\n",
"# Making some modifications to audio file\n",
"LessGaindata = AudiodataScaled/2.0 # Dividing by two the amplitude to the signal\n",
"# Converting to int16 to save the audio file with 16 Bits @ 441000 Hz freq sampling\n",
"#LessGaindata = LessGaindata*(2.**15) #Commenting to save in float point\n",
"#LessGaindata = LessGaindata.astype(np.int16)# Comenting to save in float point\n",
"print(' Directory files before writing = ');\n",
"!ls ./Data # Jupyter Magic :)\n",
"# Writing de audio signal to a file\n",
"wavfile.write('Data/LessGain.wav',fs,LessGaindata)\n",
"\n",
"# The advantage is -> the audio file data amplitude values will be between [-1 : 1]\n",
"# so, if read the audio file the values will be between [-1:1] directly."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Reading the new audiofile\n",
"fs, LessGain = wavfile.read('Data/LessGain.wav')\n",
"# set data amplitude values between [-1 : 1] LessGain.dtype is int16\n",
"LessGainScaled = LessGain / (2.**15)\n",
"plt.plot(timeValues,LessGainScaled);plt.title('Audio Waveform Transformed',size=16)\n",
"plt.ylabel('Amplitude'); plt.xlabel('Time (ms)');"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Frequency representation\n",
"\n",
"* Fast Fourier Transform (FFT)\n",
"* Magnitude Spectrum plot(2D)\n",
"* Spectrogram (3D)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [],
"source": [
"fs, Audiodata = wavfile.read(AudioFileName) # Reading AudioFile\n",
"Audiodata = Audiodata / (2.**15) # set data amplitude values between [-1 : 1]\n",
"\n",
"from scipy.fftpack import fft\n",
"n = len(Audiodata) \n",
"AudioFreq = fft(Audiodata) # Computing the fourier transform\n",
"AudioFreq = AudioFreq[0:int(np.ceil((n+1)/2.0))]\n",
"# FFT output is a array of complex numbers\n",
"MagFreq = np.abs(AudioFreq) # absolute value to obtain the magnitude\n",
"\n",
"# scaling by the number of points to avoid that the magnitude values \n",
"# depends of signal length the signal or its sampling frequency \n",
"MagFreq = MagFreq / float(n)\n",
"# Compute the power of the magnitude\n",
"MagFreq = MagFreq**2 "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Magnitude Spectrum Plot (2D)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/vnd.plotly.v1+html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from plotly import offline as py #library for interactive plots\n",
"import plotly.tools as tls\n",
"py.init_notebook_mode()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
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