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2019-12-13 09:28:30 +01:00
parent d4269a3880
commit 013b9743fd

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@@ -407,3 +407,55 @@ print np.correlate([1, 2, 3], [0, 1, 0.5], "full") #array([0.5, 2. , 3.5, 3.
#print np.correlate([1+1j, 2, 3-1j], [0, 1, 0.5j], 'full') #array([ 0.5-0.5j, 1.0+0.j , 1.5-1.5j, 3.0-1.j , 0.0+0.j ])
#Note that you get the time reversed, complex conjugated result when the two input sequences change places, i.e., c_{va}[k] = c^{*}_{av}[-k]:
#print np.correlate([0, 1, 0.5j], [1+1j, 2, 3-1j], 'full') #array([ 0.0+0.j , 3.0+1.j , 1.5+1.5j, 1.0+0.j , 0.5+0.5j])
################################################################################
# FFT
################################################################################
print np.fft.fft(np.exp(2j * np.pi * np.arange(8) / 8))
"""
array([-2.33486982e-16+1.14423775e-17j, 8.00000000e+00-1.25557246e-15j,
2.33486982e-16+2.33486982e-16j, 0.00000000e+00+1.22464680e-16j,
-1.14423775e-17+2.33486982e-16j, 0.00000000e+00+5.20784380e-16j,
1.14423775e-17+1.14423775e-17j, 0.00000000e+00+1.22464680e-16j])
"""
###TODO: mgrid supported
#a = np.mgrid[:5, :5][0]
a = np.array([[0, 0, 0, 0, 0],
[1, 1, 1, 1, 1],
[2, 2, 2, 2, 2],
[3, 3, 3, 3, 3],
[4, 4, 4, 4, 4]], dtype=np.float64)
print np.fft.fft2(a)
"""
array([[ 50. +0.j , 0. +0.j , 0. +0.j , # may vary
0. +0.j , 0. +0.j ],
[-12.5+17.20477401j, 0. +0.j , 0. +0.j ,
0. +0.j , 0. +0.j ],
[-12.5 +4.0614962j , 0. +0.j , 0. +0.j ,
0. +0.j , 0. +0.j ],
[-12.5 -4.0614962j , 0. +0.j , 0. +0.j ,
0. +0.j , 0. +0.j ],
[-12.5-17.20477401j, 0. +0.j , 0. +0.j ,
0. +0.j , 0. +0.j ]])
"""
###TODO: must be array of dubles
#print np.fft.ifft([0, 4, 0, 0])
print np.fft.ifft([0.0, 4.0, 0.0, 0.0]) #array([ 1.+0.j, 0.+1.j, -1.+0.j, 0.-1.j]) # may vary
a = 4 * np.eye(4)
print np.fft.ifft2(a)
"""
array([[1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j], # may vary
[0.+0.j, 0.+0.j, 0.+0.j, 1.+0.j],
[0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j],
[0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j]])
"""
print "DONE"