Skip to content

Instantly share code, notes, and snippets.

@akibmayadav
Last active February 12, 2016 10:31
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save akibmayadav/fa978a24b905aa3b3ee1 to your computer and use it in GitHub Desktop.
Save akibmayadav/fa978a24b905aa3b3ee1 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# MAT 201A - ASSIGNMENT 4\n",
"### AMBIKA YADAV\n",
"\n",
"## IDENTIFYING PROMINENT PEAKS IN AUDIOS\n",
"\n",
"Three wav files have been given .I have computed the DFT of the entire file using fft.rfft and then identify the index of the most prominent peak in its magnitude spectrum.\n",
"The procedure has been commented with the work flow."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline\n",
"rcParams['figure.figsize'] = (10, 4)\n",
"from __future__ import print_function\n",
"from __future__ import division"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from scipy.io import wavfile\n",
"from scipy.signal import freqs\n",
"sr_a, sample_a = wavfile.read('glockenspiel.wav')\n",
"sr_b, sample_b = wavfile.read('piano.wav')\n",
"sr_c, sample_c = wavfile.read('tom.wav')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def assignment4(sr_1,sample_1):\n",
" # FINDING THE MAGNITUDE SPECTRUM USING fft.rfft and normalising the magnitude\n",
" sample1_f=fft.rfft(sample_1,len(sample_1))\n",
" magspec = abs(sample1_f)/(len(sample_1)/2)\n",
" # FINDING THE FREQUENCY BINS AS HERTZ\n",
" length= int((len(sample_1)/2)+1)\n",
" freq=[]\n",
" for i in range(0,length):\n",
" freq.append((i*sr_1)/len(sample_1))\n",
" # COMPUTING THE TOTAL ENERGY\n",
" T_Energy=sum(magspec)\n",
" # HARD CODING TO FIND THE CUTOFF FREQUENCY , ASSUMING 0.95*TOTALENERGY\n",
" CO_Bin=where(cumsum(magspec)>=0.95 *T_Energy)[0][0]\n",
" CO_frequency=CO_Bin*sr_1/len(sample_1)\n",
" # PLOT 1 - FREQUENCY VS MAGNITUDE\n",
" subplot(1,2,1)\n",
" plot(freq,magspec)\n",
" plt.axvline(CO_frequency,color='red', linestyle='--',label='{:2f}Hz'.format(CO_frequency))\n",
" legend()\n",
" title('FREQUENCY VS MAGNITUDE')\n",
" xlabel('Frequency in Hz')\n",
" ylabel('Magnitude')\n",
" # PLOT 2 - FREQUENCY VS MAGNITUDE IN DB\n",
" subplot(1,2,2)\n",
" plot(freq,20*log10(magspec/T_Energy))\n",
" xlim(0,CO_frequency)\n",
" title('FREQUENCY VS MAGNITUDE')\n",
" xlabel('Frequency in Hz')\n",
" ylabel('Magnitude in db')\n",
" gcf().set_figheight(7)\n",
" gcf().set_figwidth(20)\n",
" # CALCULATING PEAKBIN AND PEAKFREQ\n",
" peakbin=argmax(magspec)\n",
" peakfreq=peakbin*sr_1/len(sample_1)\n",
" print('The peak frequency is {:f}'.format(peakfreq))\n",
" print('The cut-off frequency is {:f}'.format(CO_frequency))\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"GLOCKENSPIEL ANALYSIS\n",
"The peak frequency is 1323.342835\n",
"The cut-off frequency is 5736.771184\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAABJAAAAHBCAYAAAA2OkHcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAQEUEkAAAAAAAAFDR/wfZeySyLUBUbwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x103aa4050>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print(\"GLOCKENSPIEL ANALYSIS\")\n",
"assignment4(sr_a,sample_a)\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"PIANO ANALYSIS\n",
"The peak frequency is 78.057861\n",
"The cut-off frequency is 2247.528076\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAABJAAAAHBCAYAAAA2OkHcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x105375650>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print(\"PIANO ANALYSIS\")\n",
"assignment4(sr_b,sample_b)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"TOM ANALYSIS\n",
"The peak frequency is 92.565431\n",
"The cut-off frequency is 9894.216118\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAABJAAAAHBCAYAAAA2OkHcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nW74nqW8AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x105f9b910>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print(\"TOM ANALYSIS\")\n",
"assignment4(sr_c,sample_c)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.11"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment