scipy.fft.ihfftn#

scipy.fft.ihfftn(x, s=None, axes=None, norm=None, overwrite_x=False, workers=None, *, plan=None)[source]#

Compute the N-D inverse discrete Fourier Transform for a real spectrum.

This function computes the N-D inverse discrete Fourier Transform over any number of axes in an M-D real array by means of the Fast Fourier Transform (FFT). By default, all axes are transformed, with the real transform performed over the last axis, while the remaining transforms are complex.

Parameters:

xarray_like: Input array, taken to be real.
ssequence of ints, optional: Shape (length along each transformed axis) to use from the input. (s[0] refers to axis 0, s[1] to axis 1, etc.). Along any axis, if the given shape is smaller than that of the input, the input is cropped. If it is larger, the input is padded with zeros. if s is not given, the shape of the input along the axes specified by axes is used.
axessequence of ints, optional: Axes over which to compute the FFT. If not given, the last len(s) axes are used, or all axes if s is also not specified.
norm{“backward”, “ortho”, “forward”}, optional: Normalization mode (see fft). Default is “backward”.
overwrite_xbool, optional: If True, the contents of x can be destroyed; the default is False. See fft for more details.
workersint, optional: Maximum number of workers to use for parallel computation. If negative, the value wraps around from os.cpu_count(). See fft for more details.
planobject, optional: This argument is reserved for passing in a precomputed plan provided by downstream FFT vendors. It is currently not used in SciPy.

Added in version 1.5.0.

Returns:

outcomplex ndarray: The truncated or zero-padded input, transformed along the axes indicated by axes, or by a combination of s and x, as explained in the parameters section above. The length of the last axis transformed will be s[-1]//2+1, while the remaining transformed axes will have lengths according to s, or unchanged from the input.

Raises:

ValueError: If s and axes have different length.
IndexError: If an element of axes is larger than the number of axes of x.

See also

hfftn: The forward N-D FFT of Hermitian input.
hfft: The 1-D FFT of Hermitian input.
fft: The 1-D FFT, with definitions and conventions used.
fftn: The N-D FFT.
hfft2: The 2-D FFT of Hermitian input.

Notes

The transform for real input is performed over the last transformation axis, as by ihfft, then the transform over the remaining axes is performed as by ifftn. The order of the output is the positive part of the Hermitian output signal, in the same format as rfft.

Examples

>>> import scipy.fft
>>> import numpy as np
>>> x = np.ones((2, 2, 2))
>>> scipy.fft.ihfftn(x)
array([[[1.+0.j,  0.+0.j], # may vary
        [0.+0.j,  0.+0.j]],
       [[0.+0.j,  0.+0.j],
        [0.+0.j,  0.+0.j]]])
>>> scipy.fft.ihfftn(x, axes=(2, 0))
array([[[1.+0.j,  0.+0.j], # may vary
        [1.+0.j,  0.+0.j]],
       [[0.+0.j,  0.+0.j],
        [0.+0.j,  0.+0.j]]])