Discrete Fourier transforms (scipy.fft)

Fast Fourier Transforms (FFTs)

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

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])	Return the Discrete Fourier Transform sample frequencies.
rfftfreq(n[, d])	Return the Discrete Fourier Transform sample frequencies (for usage with rfft, irfft).
next_fast_len()	Find the next fast size of input data to fft, for zero-padding, etc.
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)	Sets the global fft backend
register_backend(backend)	Register a backend for permanent use.