ihfft(a, n=None, axis=-1, norm=None)¶
Compute the inverse FFT of a signal that has Hermitian symmetry.
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 axis is used.
Axis over which to compute the inverse FFT. If not given, the last axis is used.
Normalization mode (see
numpy.fft). Default is None.
New in version 1.10.0.
The truncated or zero-padded input, transformed along the axis
indicated by axis, or the last one if axis is not specified.
The length of the transformed axis is
n//2 + 1.
ihfft are a pair analogous to
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
which you must supply the length of the result if it is to be odd:
ihfft(hfft(a, 2*len(a) - 2) == a, within roundoff error,
ihfft(hfft(a, 2*len(a) - 1) == a, within roundoff error.
>>> spectrum = np.array([ 15, -4, 0, -1, 0, -4]) >>> np.fft.ifft(spectrum) array([1.+0.j, 2.+0.j, 3.+0.j, 4.+0.j, 3.+0.j, 2.+0.j]) # may vary >>> np.fft.ihfft(spectrum) array([ 1.-0.j, 2.-0.j, 3.-0.j, 4.-0.j]) # may vary