Discrete Fourier transforms (scipy.fft)

Fast Fourier Transforms (FFTs)

fft(x[, n, axis, norm, overwrite_x, ...])	Compute the 1-D discrete Fourier Transform.
ifft(x[, n, axis, norm, overwrite_x, ...])	Compute the 1-D inverse discrete Fourier Transform.
fft2(x[, s, axes, norm, overwrite_x, ...])	Compute the 2-D discrete Fourier Transform
ifft2(x[, s, axes, norm, overwrite_x, ...])	Compute the 2-D inverse discrete Fourier Transform.
fftn(x[, s, axes, norm, overwrite_x, ...])	Compute the N-D discrete Fourier Transform.
ifftn(x[, s, axes, norm, overwrite_x, ...])	Compute the N-D inverse discrete Fourier Transform.
rfft(x[, n, axis, norm, overwrite_x, ...])	Compute the 1-D discrete Fourier Transform for real input.
irfft(x[, n, axis, norm, overwrite_x, ...])	Computes the inverse of rfft.
rfft2(x[, s, axes, norm, overwrite_x, ...])	Compute the 2-D FFT of a real array.
irfft2(x[, s, axes, norm, overwrite_x, ...])	Computes the inverse of rfft2
rfftn(x[, s, axes, norm, overwrite_x, ...])	Compute the N-D discrete Fourier Transform for real input.
irfftn(x[, s, axes, norm, overwrite_x, ...])	Computes the inverse of rfftn
hfft(x[, n, axis, norm, overwrite_x, ...])	Compute the FFT of a signal that has Hermitian symmetry, i.e., a real spectrum.
ihfft(x[, n, axis, norm, overwrite_x, ...])	Compute the inverse FFT of a signal that has Hermitian symmetry.
hfft2(x[, s, axes, norm, overwrite_x, ...])	Compute the 2-D FFT of a Hermitian complex array.
ihfft2(x[, s, axes, norm, overwrite_x, ...])	Compute the 2-D inverse FFT of a real spectrum.
hfftn(x[, s, axes, norm, overwrite_x, ...])	Compute the N-D FFT of Hermitian symmetric complex input, i.e., a signal with a real spectrum.
ihfftn(x[, s, axes, norm, overwrite_x, ...])	Compute the N-D inverse discrete Fourier Transform for a real spectrum.

Discrete Sin and Cosine Transforms (DST and DCT)

dct(x[, type, n, axis, norm, overwrite_x, ...])	Return the Discrete Cosine Transform of arbitrary type sequence x.
idct(x[, type, n, axis, norm, overwrite_x, ...])	Return the Inverse Discrete Cosine Transform of an arbitrary type sequence.
dctn(x[, type, s, axes, norm, overwrite_x, ...])	Return multidimensional Discrete Cosine Transform along the specified axes.
idctn(x[, type, s, axes, norm, overwrite_x, ...])	Return multidimensional Inverse Discrete Cosine Transform along the specified axes.
dst(x[, type, n, axis, norm, overwrite_x, ...])	Return the Discrete Sine Transform of arbitrary type sequence x.
idst(x[, type, n, axis, norm, overwrite_x, ...])	Return the Inverse Discrete Sine Transform of an arbitrary type sequence.
dstn(x[, type, s, axes, norm, overwrite_x, ...])	Return multidimensional Discrete Sine Transform along the specified axes.
idstn(x[, type, s, axes, norm, overwrite_x, ...])	Return multidimensional Inverse Discrete Sine Transform along the specified axes.

Fast Hankel Transforms

fht(a, dln, mu[, offset, bias])	Compute the fast Hankel transform.
ifht(A, dln, mu[, offset, bias])	Compute the inverse fast Hankel transform.

Helper functions

fftshift(x[, axes])	Shift the zero-frequency component to the center of the spectrum.
ifftshift(x[, axes])	The inverse of fftshift.
fftfreq(n[, d, xp, device])	Return the Discrete Fourier Transform sample frequencies.
rfftfreq(n[, d, xp, device])	Return the Discrete Fourier Transform sample frequencies (for usage with rfft, irfft).
fhtoffset(dln, mu[, initial, bias])	Return optimal offset for a fast Hankel transform.
next_fast_len(target[, real])	Find the next fast size of input data to fft, for zero-padding, etc.
prev_fast_len(target[, real])	Find the previous fast size of input data to fft.
set_workers(workers)	Context manager for the default number of workers used in scipy.fft
get_workers()	Returns the default number of workers within the current context

Backend control

set_backend(backend[, coerce, only])	Context manager to set the backend within a fixed scope.
skip_backend(backend)	Context manager to skip a backend within a fixed scope.
set_global_backend(backend[, coerce, only, ...])	Sets the global fft backend
register_backend(backend)	Register a backend for permanent use.