Discrete Fourier transforms (scipy.fftpack)

Fast Fourier Transforms (FFTs)

fft(x[, n, axis, overwrite_x])	Return discrete Fourier transform of real or complex sequence.
ifft(x[, n, axis, overwrite_x])	Return discrete inverse Fourier transform of real or complex sequence.
fft2(x[, shape, axes, overwrite_x])	2-D discrete Fourier transform.
ifft2(x[, shape, axes, overwrite_x])	2-D discrete inverse Fourier transform of real or complex sequence.
fftn(x[, shape, axes, overwrite_x])	Return multi-dimensional discrete Fourier transform of x.
ifftn(x[, shape, axes, overwrite_x])	Return inverse multi-dimensional discrete Fourier transform of
rfft(x[, n, axis, overwrite_x])	Discrete Fourier transform of a real sequence.
irfft((x[, n, axis, overwrite_x])	Return inverse discrete Fourier transform of real sequence x.
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.

Differential and pseudo-differential operators

diff((x[, order, period])	Return k-th derivative (or integral) of a periodic sequence x.
tilbert((x, h[, period])	Return h-Tilbert transform of a periodic sequence x.
itilbert((x, h[, period])	Return inverse h-Tilbert transform of a periodic sequence x.
hilbert((x) -> y)	Return Hilbert transform of a periodic sequence x.
ihilbert((x) -> y)	Return inverse Hilbert transform of a periodic sequence x.
cs_diff((x, a, b[, period])	Return (a,b)-cosh/sinh pseudo-derivative of a periodic sequence x.
sc_diff(x, a, b[, period, _cache])	Return (a,b)-sinh/cosh pseudo-derivative of a periodic sequence x.
ss_diff((x, a, b[, period])	Return (a,b)-sinh/sinh pseudo-derivative of a periodic sequence x.
cc_diff((x, a, b[, period])	Return (a,b)-cosh/cosh pseudo-derivative of a periodic sequence x.
shift((x, a[, period])	Shift periodic sequence x by a: y(u) = x(u+a).

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])	DFT sample frequencies (for usage with rfft, irfft).

Convolutions (scipy.fftpack.convolve)

convolve	convolve - Function signature:
convolve_z	convolve_z - Function signature:
init_convolution_kernel	init_convolution_kernel - Function signature:
destroy_convolve_cache	destroy_convolve_cache - Function signature:

Other (scipy.fftpack._fftpack)

drfft	drfft - Function signature:
zfft	zfft - Function signature:
zrfft	zrfft - Function signature:
zfftnd	zfftnd - Function signature:
destroy_drfft_cache	destroy_drfft_cache - Function signature:
destroy_zfft_cache	destroy_zfft_cache - Function signature:
destroy_zfftnd_cache	destroy_zfftnd_cache - Function signature: