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Notes

hfft /ihfft are a pair analogous to rfft /irfft , but for the opposite case: here, the signal has Hermitian symmetry in the time domain and is real in the frequency domain. So, here, it's hfft , for which you must supply the length of the result if it is to be odd: * even: ihfft(hfft(a, 2*len(a) - 2) == a , within roundoff error, * odd: ihfft(hfft(a, 2*len(a) - 1) == a , within roundoff error.

Parameters

x : array_like: Input array.
n : int, optional: Length of the inverse FFT, the number of points along transformation axis in the input to use. If n is smaller than the length of the input, the input is cropped. If it is larger, the input is padded with zeros. If n is not given, the length of the input along the axis specified by :None:None:`axis` is used.
axis : int, optional: Axis over which to compute the inverse FFT. If not given, the last axis is used.
norm : {"backward", "ortho", "forward"}, optional: Normalization mode (see fft ). Default is "backward".
overwrite_x : bool, optional: If True, the contents of x can be destroyed; the default is False. See fft for more details.
workers : int, optional: Maximum number of workers to use for parallel computation. If negative, the value wraps around from os.cpu_count() . See ~scipy.fft.fft for more details.
plan : object, optional: This argument is reserved for passing in a precomputed plan provided by downstream FFT vendors. It is currently not used in SciPy.

versionadded

Returns

out : complex ndarray: The truncated or zero-padded input, transformed along the axis indicated by :None:None:`axis`, or the last one if :None:None:`axis` is not specified. The length of the transformed axis is n//2 + 1 .

Compute the inverse FFT of a signal that has Hermitian symmetry.

Examples

>>> from scipy.fft import ifft, ihfft
... spectrum = np.array([ 15, -4, 0, -1, 0, -4])
... ifft(spectrum)
array([1.+0.j,  2.+0.j,  3.+0.j,  4.+0.j,  3.+0.j,  2.+0.j]) # may vary

>>> ihfft(spectrum)
array([ 1.-0.j,  2.-0.j,  3.-0.j,  4.-0.j]) # may vary

See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

scipy.fft._basic.ihfftn scipy.fft._basic.hfft scipy.fft._basic.ihfft

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