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@josePhoenix
Created March 4, 2014 22:26
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Start out with an N x 97 array with 97 random sequences\n",
"N = 100\n",
"random_slopes = numpy.random.rand(N, 97)\n",
"plot(random_slopes[:,1])\n",
"plot(random_slopes[:,90])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 28,
"text": [
"[<matplotlib.lines.Line2D at 0x1065cb410>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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nPgGcWyXub+rK/upRkQx+BA4eCOfwtIIGAIpKEZozuiTrXG0Ouwq7YNV3QkU9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oLnJRw+qmPzZvIzx5GO6Lm5BBZNAgVvmr0p+Le+FfjOd4D772+Prl7OGGBezsMSWgrejlfwN198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\nH32COx3GBYEHAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1065cb950>"
]
}
],
"prompt_number": 28
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# FFT cell-wise\n",
"random_slopes_power = np.fft.fft(random_slopes, axis=1)\n",
"random_slopes_power.shape\n",
"plot(np.abs(random_slopes_power[:,1])**2)\n",
"plot(np.abs(random_slopes_power[:,90])**2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 31,
"text": [
"[<matplotlib.lines.Line2D at 0x106722890>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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E5CNXPHWpjGXRZZhIT7S9LT30Sr1VMWZHqZsF7/3339/ymBuS+uWXX67ZLGY8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0AAAG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\ngAKOIfx/Mv033ALsvaIAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x106722790>"
]
}
],
"prompt_number": 31
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# What if we add a sine to one of these random series?\n",
"dt = 1.0 / 40.0\n",
"amplitude = 10.0\n",
"frequency = 2 * np.pi\n",
"timesteps = np.linspace(0.0, N*dt, N)\n",
"\n",
"random_slopes2 = numpy.random.rand(N, 97)\n",
"random_slopes2[:,50] += amplitude * np.sin(frequency * timesteps)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 48
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot(random_slopes2[:,50])\n",
"plot(random_slopes2[:,51])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 49,
"text": [
"[<matplotlib.lines.Line2D at 0x106cff850>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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7s5Rn9L7H+2S7wJZK/V6Kys0sR8O2Dcv2uCkHptBHXrl/eyWnJZPtAlvac21P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\nSIxn717A3l7sDsRy1qePukb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z52LkyJF4//330aFDBwDArFmzEBcXh7i4OLzzzjvo27dv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\n",
"text": [
"<matplotlib.figure.Figure at 0x106cffe90>"
]
}
],
"prompt_number": 49
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# FFT on axis 1\n",
"random_slopes_power2 = np.fft.fft(random_slopes2, axis=1)\n",
"\n",
"figure()\n",
"plot(np.abs(random_slopes_power2[:,50])**2)\n",
"plot(np.abs(random_slopes_power2[:,51])**2)\n",
"\n",
"# FFT cell-wise\n",
"random_slopes_power50 = np.fft.fft(random_slopes2[:,50])\n",
"random_slopes_power51 = np.fft.fft(random_slopes2[:,51])\n",
"\n",
"figure()\n",
"plot(np.abs(random_slopes_power50)**2)\n",
"plot(np.abs(random_slopes_power51)**2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 55,
"text": [
"[<matplotlib.lines.Line2D at 0x1070f8710>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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86b++VOLshxP9OLWVYq/RaOj0dBIxHiMSzRJNRVX/kGrdONlcllAi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\nwVMTn2L8W5O52lDApv9t3cYJ8A1gcsJk6prqPIrsbWdCgLBwpiRMset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"text": [
"<matplotlib.figure.Figure at 0x1070fa2d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x1070acb50>"
]
}
],
"prompt_number": 55
}
],
"metadata": {}
}
]
}
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