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.
rfft2
(x[, s, axes, norm, overwrite_x, ...])
Compute the 2-D FFT of a real array.
rfftn
(x[, s, axes, norm, overwrite_x, ...])
Compute the N-D discrete Fourier Transform for real input.
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#
Helper functions#
fftshift
(x[, axes])
Shift the zero-frequency component to the center of the spectrum.
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
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.