numpy.fft.ihfft¶
- numpy.fft.ihfft(a, n=None, axis=-1, norm=None)[source]¶
Compute the inverse FFT of a signal that has Hermitian symmetry.
Parameters: a : 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 axis is used.
axis : int, optional
Axis over which to compute the inverse FFT. If not given, the last axis is used.
norm : {None, “ortho”}, optional
Normalization mode (see numpy.fft). Default is None.
New in version 1.10.0.
Returns: out : complex ndarray
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.
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.
Examples
>>> 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]) >>> np.fft.ihfft(spectrum) array([ 1.-0.j, 2.-0.j, 3.-0.j, 4.-0.j])