scipy.fft.ihfftn

scipy.fft.ihfftn(x, s=None, axes=None, norm=None, overwrite_x=False, workers=None)

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

This function computes the N-dimensional inverse discrete Fourier Transform over any number of axes in an M-dimensional 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{None, “ortho”}, optional

Normalization mode (see fft). Default is None.

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.

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 than the number of axes of x.

See also

hfftn

The forward n-dimensional FFT of Hermitian input.

hfft

The one-dimensional FFT of Hermitian input.

fft

The one-dimensional FFT, with definitions and conventions used.

fftn

The n-dimensional FFT.

hfft2

The two-dimensional 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
>>> 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]]])