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@mhogg
Created August 14, 2016 23:20
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Perform FFT of time signal"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"from matplotlib.pyplot import *\n",
"import scipy, scipy.signal\n",
"from numpy import *"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Create time signal"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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AX//1+CYFdzAN0PaS5Mc/Bnp7gXXroukX5YEo6pcccdueE0w7GzhTu/gpfEB27JjsDL1q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\nAmqac06Ia1I491xpYg3L0t03prMTuRdmeXbEoR0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4tQPC9XM/6RWmXVeXTDqssCSHW7/x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\nIJMkSZqYgUySJGliBjJJkqSJ/RsIJNRqTStsmAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x91fb0f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f_s = 100. # Sampling frequency, Hz\n",
"f = 1. # Base frequency, Hz\n",
"dt = 1/f_s # Time step size, s\n",
"tt = 5.0 # Total time\n",
"\n",
"t = arange(0.0, tt, dt)\n",
"y = 5 * sin(2*pi*f*t) + 2 * sin(10*2*pi*f*t)\n",
"\n",
"fig = figure()\n",
"fig.set_size_inches([10,5])\n",
"ax = fig.add_subplot(111)\n",
"ax.plot(t, y)\n",
"ax.set_xlabel(\"Time (s)\",fontsize=12)\n",
"ax.set_ylabel(\"y\",fontsize=12)\n",
"ax.set_title('Signal\\n',fontsize=14);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Apply window functions to data\n",
"\n",
"To make signal periodic, which is a requirement of the FFT"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Define window function. Others are available in scipy\n",
"def tukey(numPoints,alpha=0.5):\n",
" \"\"\" Create tukey window function \"\"\"\n",
" if alpha <=0: return ones(numPoints)\n",
" elif alpha >=1: return hanning(numPoints)\n",
" x = linspace(0,1,numPoints)\n",
" w = ones(x.shape)\n",
" # First condition 0<=x<alpha/2\n",
" c1 = x<alpha/2\n",
" w[c1] = 0.5*(1 + cos(2*pi/alpha*(x[c1]-alpha/2))) \n",
" # Second condition 1-alpha/2 <= x <= 1\n",
" c2 = x>=(1-alpha/2)\n",
" w[c2] = 0.5*(1 + cos(2*pi/alpha*(x[c2]-(1-alpha/2))))\n",
" return w"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Select which window function to apply\n",
"numPoints = len(t)\n",
"window0 = ones(numPoints)\n",
"window1 = tukey(numPoints,0.1)\n",
"window = window0\n",
"y_win = y * window"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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V3HLLLQDceOONHH300eXt7rvvPg455BA6Ojr43Oc+x7p16/jpT39q2vbss88mGAyyatUq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\nADMBVatvgIcWZ64AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x91f8160>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = subplots(1,2)\n",
"fig.set_size_inches([15,5])\n",
"ax1, ax2 = axes\n",
"\n",
"ax1.plot(t,window)\n",
"ax1.set_title('Window function\\n',fontsize=14)\n",
"ax1.set_xlabel('Time (s)',fontsize=12)\n",
"ax1.set_ylabel('Weighting',fontsize=12)\n",
"ax1.grid()\n",
"\n",
"ax2.plot(t,y,label='Original signal')\n",
"ax2.plot(t,y_win,label='Windowed signal')\n",
"ax2.set_title('Signal\\n',fontsize=14)\n",
"ax2.set_xlabel('Time (s)',fontsize=12)\n",
"ax2.set_ylabel('y',fontsize=12)\n",
"ax2.set_ylim([-10,10])\n",
"ax2.legend(loc=0)\n",
"ax2.grid()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## FFT of signal"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def getFrequencies(y,dt):\n",
" \"\"\" Perform FFT of time signal \"\"\"\n",
" numPoints = len(y)\n",
" freqHz = fft.fftfreq(int(numPoints),dt) # Perform fft to get frequencies in Hz\n",
" freqData = fft.fft(y_win)*(2./numPoints) # Normalise fft to get correct spectrum amplitudes\n",
" nyquistIdx = int(numPoints)/2 # Get the Nyquist frequency, or half the sampling frequency\n",
" freqHz = freqHz[:nyquistIdx] # Get frequencies less than the Nyquist frequency\n",
" freqData = freqData[:nyquistIdx] # Get the frequency data for frequencies less than the Nyquist frequency\n",
" rFreqData = abs(freqData) # Get the real components\n",
" return freqHz, rFreqData\n",
"\n",
"freqHz, rFreqData = getFrequencies(y_win,dt)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot FFT results"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Mh05tYZckdU4Xeuwi4kVUPeUfBF4x8FACa4EzM/OuhmKprY/vfjeMj8PXvgZr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\nAAAAhnsCldzxif8CMIsAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x98a8d68>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = subplots(1,2)\n",
"fig.set_size_inches([15,5])\n",
"ax1, ax2 = axes\n",
"\n",
"# Do not plot DC offset\n",
"ax1.plot(freqHz[1:],rFreqData[1:])\n",
"ax1.set_title('FFT - Amplitude\\n',fontsize=14)\n",
"ax1.set_xlabel('Frequency (Hz)',fontsize=12)\n",
"ax1.set_ylabel('Amplitude',fontsize=12)\n",
"ax1.grid()\n",
"\n",
"# Do not plot DC offset\n",
"ax2.plot(freqHz[1:],rFreqData[1:]**2)\n",
"ax2.set_title('FFT - Power\\n',fontsize=14)\n",
"ax2.set_xlabel('Frequency (Hz)',fontsize=12)\n",
"ax2.set_ylabel('Power (Amplitude^2)',fontsize=12)\n",
"ax2.grid()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [Root]",
"language": "python",
"name": "Python [Root]"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.12"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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