{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"application/javascript": [
"IPython.notebook.set_autosave_interval(0)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Autosave disabled\n"
]
}
],
"source": [
"%autosave 0\n",
"from __future__ import absolute_import, division, print_function"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Nyquist-Shannon Sampling Theorem and Aliasing"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Audio playback requires a recent version of IPython and a browser that supports html5 audio playback for the wav format (e.g. Mozilla Firefox)."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline\n",
"import IPython.display\n",
"import scipy.signal"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 1: sticking to the sampling theorem"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Generate a linear chirp sound"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The instantaneous frequency $f(t)$ varies linearly with time:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$f(t) = f_0 + k t$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"where $f_0$ is the starting frequency at time $t=0$, $f_1$ the final frequency at time $t=T$, and $k$ is the chirp rate (rate of frequency increase):"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$k = \\frac{f_1 - f_0}{T}$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The corresponding time-domain signal is:\n",
"$$\\begin{eqnarray}\n",
" x(t)\n",
" &=& \\sin \\left( 2 \\pi \\int_0^t f(t') \\mathsf{d}t' \\right) \\\\\n",
" &=& \\sin \\left( 2 \\pi \\int_0^t (f_0 + k t') \\mathsf{d}t' \\right) \\\\\n",
" &=& \\sin \\left( 2 \\pi \\left( f_0 + \\frac{k}{2} t \\right) t \\right) \\\\\n",
"\\end{eqnarray}$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"https://de.wikipedia.org/wiki/Chirp"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"samplingrate = 16000 # Hz\n",
"duration = 3 # s\n",
"numsamples = samplingrate * duration + 1 # samples\n",
"\n",
"# frequency starting at 400 Hz and going up to 8000 Hz\n",
"freq_from, freq_to = 400.0, 8000.0"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"t = linspace(0, duration, numsamples)\n",
"alpha = 2 * pi * freq_from\n",
"beta = pi * (freq_to - freq_from) / duration\n",
"sound1 = .9 * sin((alpha + beta * t) * t)\n",
"#sound1 = scipy.signal.chirp(t, freq_from, duration, freq_to)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plotting the signal: increasing frequency starting at 400 Hz"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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Lpsc5Py8vml+1Kl2PJgGwHl4DFymgtHvfaukWadOMhdY8ZaWYtMaf5u1qRWB595cVAWjI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\nSUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(sound1[0:500]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plotting artefacts caused by incorrect interpolation as no sinc interpolation is used"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Nu5qfb7++SAcXAtJYVmUAgfQZApJK8Tj9nkSkdYLG+jUPxUNRpcVJJYrSIXUa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\nlSpVqlSpUqVKlSpVqlSpUqXK1pD/D2F1rSbkhOXAAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(sound1[24000:24200]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Spectrogram"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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qwGZ/iGPRLdHHMSfl2tGqk9Sa+uk8i1ZpsoF2QsSvZW1xtQBm+3OETS5xLINu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2/DbUMErnQ5E8q+RciaQWVJwqjnH8LaGOOEUNoJ5pa88xtuHqSgYXCXurSV3yPRMy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\nzkk7ddTud88gApe7j41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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Pxx, freqs, bins, im = plt.specgram(sound1, NFFT=256, Fs=16000, noverlap=160, cmap=plt.cm.gnuplot)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Audio playback"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"audio1 = IPython.display.Audio(sound1, rate=samplingrate)\n",
"audio1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Save as wav file"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"with open('aliasing1.wav', 'wb') as fp:\n",
" fp.write(audio1.data) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 2: violation of the samping theorem"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Generate a second sound"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"freq_from, freq_to = 400.0, 16000.0\n",
"sound2 = scipy.signal.chirp(t, freq_from, duration, freq_to)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Spectrogram"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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YWyAayExhu7fj/eR5xtj3IKCB4R9KLuNfRT44vxoYCKFW2RZN1tAIHTK/8AEI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+GwAUf3TWsQ2QKrBa2Q5nqcs1fuv2UeJchXVudescfXN/tq2vTBbBXPa91m5qi2rYwkjwb+Nk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\nPh6+CPwW5gMA+CpmGfi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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Pxx, freqs, bins, im = plt.specgram(sound2, NFFT=256, Fs=samplingrate, noverlap=160, cmap=plt.cm.gnuplot)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Audio playback"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"audio2 = IPython.display.Audio(sound2, rate=samplingrate)\n",
"audio2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Save as wav file"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"with open('aliasing2.wav', 'wb') as fp:\n",
" fp.write(audio2.data) "
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Example 3: another violation of the sampling theorem"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Generate a third sound"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"freq_from, freq_to = 400.0, 32000.0\n",
"sound3 = scipy.signal.chirp(t, freq_from, duration, freq_to)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Spectrogram"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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4eyMEf2+HrApVAHmEPDnGWlLtbsHUBIP7c8xL7hvrrquYX3r9W7pnUYRB+Vmg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O86SeE6pR8WyVJLg6L8XuPGWPpTsAcKG0yLvzrQnVmsFoGzkJtdwbqSzZYX9LBhbvRppyP0SdvV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\nj+txPa7H9bge1+N6XI/rcT2ux/UYx/8PetJk+t3pLOsAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Pxx, freqs, bins, im = plt.specgram(sound3, NFFT=256, Fs=samplingrate, noverlap=160, cmap=plt.cm.gnuplot)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Audio playback"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"audio3 = IPython.display.Audio(sound3, rate=samplingrate)\n",
"audio3"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Save as wav file"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"with open('aliasing3.wav', 'wb') as fp:\n",
" fp.write(audio3.data) "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [Root]",
"language": "python",
"name": "Python [Root]"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}