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•          numpy.fft.fft
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•          numpy.fft.fftn
•          numpy.fft.ifftn
•          numpy.fft.rfft
•          numpy.fft.irfft
•          numpy.fft.rfft2
•          numpy.fft.irfft2
•          numpy.fft.rfftn
•          numpy.fft.irfftn
•          numpy.fft.hfft
•          numpy.fft.ihfft
•          numpy.fft.fftfreq
•          numpy.fft.rfftfreq
•          numpy.fft.fftshift
•          numpy.fft.ifftshift
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numpy.fft.fftshift(x, axes=None)[source]¶

Shift the zero-frequency component to the center of the spectrum.

This function swaps half-spaces for all axes listed (defaults to all). Note that y[0] is the Nyquist component only if len(x) is even.

Parameters

xarray_like

Input array.

axesint or shape tuple, optional

Axes over which to shift. Default is None, which shifts all axes.

Returns

yndarray

The shifted array.

See also

ifftshift

The inverse of fftshift.

Examples

>>> freqs = np.fft.fftfreq(10, 0.1)
>>> freqs
array([ 0.,  1.,  2., ..., -3., -2., -1.])
>>> np.fft.fftshift(freqs)
array([-5., -4., -3., -2., -1.,  0.,  1.,  2.,  3.,  4.])

Shift the zero-frequency component only along the second axis:

>>> freqs = np.fft.fftfreq(9, d=1./9).reshape(3, 3)
>>> freqs
array([[ 0.,  1.,  2.],
       [ 3.,  4., -4.],
       [-3., -2., -1.]])
>>> np.fft.fftshift(freqs, axes=(1,))
array([[ 2.,  0.,  1.],
       [-4.,  3.,  4.],
       [-1., -3., -2.]])