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: