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@rsnemmen
Created March 5, 2017 21:09
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Remove Time-Localized Frequency Components using continuous wavelet transform (CWT) and Python
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Remove Time-Localized Frequency Components using continuous wavelet transform\n",
"================\n",
"\n",
"This is a Python recreation of the tutorial [\"Remove Time-Localized Frequency Components\"](https://www.mathworks.com/help/wavelet/ug/removing-a-time-localized-frequency-component-using-the-inverse-cwt.html)--which was originally created with the MATLAB [Wavelet Toolbox](https://www.mathworks.com/products/wavelet.html)--using the [`wavelets` module](https://github.com/aaren/wavelets). `wavelets` is the best and easiest wavelet module so far that I tested. \n",
"\n",
"You will need to install `wavelets` from [this repo](https://github.com/rsnemmen/wavelets) because the main repository for `wavelets` still does not include the modifications that I implemented--which are required to reconstruct the signal excluding specific frequencies.\n",
"\n",
"Note that the total price for the MATLAB and Wavelet Toolbox licenses is US\\$ 2650 + 1250 = US\\$ 3900 if you are not a student or faculty. Ouch.\n",
"\n",
"[Rodrigo Nemmen](https://rodrigonemmen.com), [@nemmen](https://twitter.com/nemmen?lang=en)\n",
"\n",
"# TODO\n",
"\n",
"- [ ] plot COI"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%pylab inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Make sure you are importing my patched `wavelets` module (as of early March 2017, my pull request has not been accepted to the main repo)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"/Users/nemmen/Dropbox/Downloads/wavelets\n"
]
}
],
"source": [
"cd '~/Dropbox/Downloads/wavelets/'"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import wavelets\n",
"import nmmn.dsp"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Create a signal consisting of exponentially weighted sine waves. The signal has two 25-Hz components -- one centered at 0.2 seconds and one centered at 0.5 seconds. It also has two 70-Hz components -- one centered at 0.2 and one centered at 0.8 seconds. The first 25-Hz and 70-Hz components co-occur in time."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10f120320>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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lVO8MlRVjyTeJpki1hj0KnuYdfcxQwitVF2lX0dM65Wd/sRk/fXgvbn9y9mxn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\nSRqMwS5JgzHYJWkw3ySlv2Nyhwj1AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10cab5208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t = arange(0,1-1/2000,1/2000)\n",
"dt = 1/2000\n",
"x1 = sin(50*pi*t)*exp(-50*pi*(t-0.2)**2)\n",
"x2 = sin(50*pi*t)*exp(-100*pi*(t-0.5)**2)\n",
"x3 = 2*cos(140*pi*t)*exp(-50*pi*(t-0.2)**2)\n",
"x4 = 2*sin(140*pi*t)*exp(-80*pi*(t-0.8)**2)\n",
"x = x1+x2+x3+x4\n",
"plot(t,x)\n",
"title('Superimposed Signal')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Obtain and display the CWT."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"dt=t[1]-t[0]\n",
"wave = wavelets.WaveletAnalysis(x, dt=dt, dj=1/100)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# T is time, P are the periods, F are frequencies in Hz\n",
"T, P = meshgrid(wave.time, wave.scales)\n",
"F=1./P"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x1149401d0>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Kz1AV7rqI+AY1WG4kI8XbzB5Rfpf0GTM7ZrGWdDrwJkIAuhGC118NPB64O3Ar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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1048d8048>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pcolormesh(T, F, wave.wavelet_power)\n",
"yscale('log', basey=2)\n",
"title('Analytic CWT using Default Morse Wavelet')\n",
"ylabel('Frequency (HZ)')\n",
"xlabel('Time (s)')\n",
"colorbar()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Remove the 25 Hz component which occurs from approximately 0.07 to 0.3 seconds by zeroing out the CWT coefficients. Use the inverse CWT (icwt) to reconstruct an approximation to the signal."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"T1,T2 = 0.07,0.33\n",
"F1,F2 = 19, 34\n",
"i=where(((F>F1) & (F<F2)) & ((T>T1) & (T<T2)))\n",
"xrec,powerrec,cwtrec,xrecdet=nmmn.dsp.reconstruct(wave,i)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Display the CWT of the reconstructed signal. The initial 25-Hz component is removed."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x112adbf60>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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NqNPpb1R5+Zr3rCVVRHyYn7LujWo3MY1oZ1kwIMo6mKXhtZFhWaizliVhSRIQWNp7asQs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\nYmOQ+0GAAzplzr5Gx3F2PHO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"text/plain": [
"<matplotlib.figure.Figure at 0x11472d198>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pcolormesh(T, F, powerrec)\n",
"yscale('log', basey=2)\n",
"title('Magnitude scalogram')\n",
"ylabel('Frequency (HZ)')\n",
"xlabel('Time (s)')\n",
"colorbar()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot the original signal and the reconstruction."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/nemmen/anaconda3/lib/python3.5/site-packages/numpy/core/numeric.py:482: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" return array(a, dtype, copy=False, order=order)\n"
]
},
{
"data": {
"image/png": 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YoDIWoioW1r/jYf/vmNfXckoLfWdKD5ZMQkFZJEgoqN1VLZ0pls6oYen0al7Z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\nUlBQUFCYlvj/aEh3PueEc0AAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x114cda160>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"subplot(2,1,1)\n",
"plot(t,x)\n",
"title('Original Signal')\n",
"\n",
"subplot(2,1,2)\n",
"plot(t,xrec)\n",
"title('Signal with first 25-Hz component removed')\n",
"\n",
"tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Compare the reconstructed signal with the original signal without the 25-Hz component centered at 0.2 seconds."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/nemmen/anaconda3/lib/python3.5/site-packages/numpy/core/numeric.py:482: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" return array(a, dtype, copy=False, order=order)\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x113118588>"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Kj+e7Vn354wEjMc/4rHQ8vKVoB1/KsAx7cZHfsBtG+bVBb+Cx2fM8F6Hjp6k8vnU+Ijvb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\nTxnOpK2fY6odpV1zaDAti86gZtt4+JYp9O7Siwg9vRFtK6MgWnNm018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nCwcIjtHui7Do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\nA63GqbnSAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x112cf5a90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"y = x2+x3+x4\n",
"plot(t,xrec,label='Inverse CWT approximation')\n",
"plot(t,y,'r--',label='Original Signal Without 25 Hz')\n",
"legend()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [default]",
"language": "python",
"name": "python3"
},
"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": 1
}
@poxiao-wg
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Hello, thanks very much for your code and detailed introduction. I am applying your code but found nmmn.dsp.reconstruct function didn't work properly. The error message shows " TypeError: reconstruction() got an unexpected keyword argument 'wave' ". Could you help me to solve the problem? Thanks in advance.

@rsnemmen
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Author

rsnemmen commented Jan 21, 2020 via email

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