Fourier transforms (scipy.fftpack)

Fast Fourier transforms

fft (x[, n, axis, overwrite_x])	Return discrete Fourier transform of arbitrary type sequence x.
ifft (x[, n, axis, overwrite_x])	ifft(x, n=None, axis=-1, overwrite_x=0) -> y
fftn (x[, shape, axes, overwrite_x])	fftn(x, shape=None, axes=None, overwrite_x=0) -> y
ifftn (x[, shape, axes, overwrite_x])	ifftn(x, s=None, axes=None, overwrite_x=0) -> y
fft2 (x[, shape, axes, -1), ...])	fft2(x, shape=None, axes=(-2,-1), overwrite_x=0) -> y
ifft2 (x[, shape, axes, -1), ...])	ifft2(x, shape=None, axes=(-2,-1), overwrite_x=0) -> y
rfft (x[, n, axis, overwrite_x])	rfft(x, n=None, axis=-1, overwrite_x=0) -> y
irfft (x[, n, axis, overwrite_x])	irfft(x, n=None, axis=-1, overwrite_x=0) -> y

Differential and pseudo-differential operators

diff (x[, order, period, _cache])	diff(x, order=1, period=2*pi) -> y
tilbert (x, h[, period, _cache])	tilbert(x, h, period=2*pi) -> y
itilbert (x, h[, period, _cache])	itilbert(x, h, period=2*pi) -> y
hilbert (x[, _cache])	hilbert(x) -> y
ihilbert (x)	ihilbert(x) -> y
cs_diff (x, a, b[, period, _cache])	cs_diff(x, a, b, period=2*pi) -> y
sc_diff (x, a, b[, period, _cache])	sc_diff(x, a, b, period=2*pi) -> y
ss_diff (x, a, b[, period, _cache])	ss_diff(x, a, b, period=2*pi) -> y
cc_diff (x, a, b[, period, _cache])	cc_diff(x, a, b, period=2*pi) -> y
shift (x, a[, period, _cache])	shift(x, a, period=2*pi) -> y

Helper functions

fftshift (x[, axes])	Shift zero-frequency component to center of spectrum.
ifftshift (x[, axes])	Inverse of fftshift.
dftfreq
rfftfreq (n[, d])	rfftfreq(n, d=1.0) -> f

Convolutions (scipy.fftpack.convolve)

convolve ()	convolve - Function signature: y = convolve(x,omega,[swap_real_imag,overwrite_x]) Required arguments: x : input rank-1 array(‘d’) with bounds (n) omega : input rank-1 array(‘d’) with bounds (n) Optional arguments: overwrite_x := 0 input int swap_real_imag := 0 input int Return objects: y : rank-1 array(‘d’) with bounds (n) and x storage
convolve_z ()	convolve_z - Function signature: y = convolve_z(x,omega_real,omega_imag,[overwrite_x]) Required arguments: x : input rank-1 array(‘d’) with bounds (n) omega_real : input rank-1 array(‘d’) with bounds (n) omega_imag : input rank-1 array(‘d’) with bounds (n) Optional arguments: overwrite_x := 0 input int Return objects: y : rank-1 array(‘d’) with bounds (n) and x storage
init_convolution_kernel ()	init_convolution_kernel - Function signature: omega = init_convolution_kernel(n,kernel_func,[d,zero_nyquist,kernel_func_extra_args]) Required arguments: n : input int kernel_func : call-back function Optional arguments: d := 0 input int kernel_func_extra_args := () input tuple zero_nyquist := d%2 input int Return objects: omega : rank-1 array(‘d’) with bounds (n) Call-back functions: def kernel_func(k): return kernel_func Required arguments: k : input int Return objects: kernel_func : float
destroy_convolve_cache ()	destroy_convolve_cache - Function signature: destroy_convolve_cache()

scipy.fftpack._fftpack

drfft ()	drfft - Function signature: y = drfft(x,[n,direction,normalize,overwrite_x]) Required arguments: x : input rank-1 array(‘d’) with bounds (*) Optional arguments: overwrite_x := 0 input int n := size(x) input int direction := 1 input int normalize := (direction<0) input int Return objects: y : rank-1 array(‘d’) with bounds (*) and x storage
zfft ()	zfft - Function signature: y = zfft(x,[n,direction,normalize,overwrite_x]) Required arguments: x : input rank-1 array(‘D’) with bounds (*) Optional arguments: overwrite_x := 0 input int n := size(x) input int direction := 1 input int normalize := (direction<0) input int Return objects: y : rank-1 array(‘D’) with bounds (*) and x storage
zrfft ()	zrfft - Function signature: y = zrfft(x,[n,direction,normalize,overwrite_x]) Required arguments: x : input rank-1 array(‘D’) with bounds (*) Optional arguments: overwrite_x := 1 input int n := size(x) input int direction := 1 input int normalize := (direction<0) input int Return objects: y : rank-1 array(‘D’) with bounds (*) and x storage
zfftnd ()	zfftnd - Function signature: y = zfftnd(x,[s,direction,normalize,overwrite_x]) Required arguments: x : input rank-1 array(‘D’) with bounds (*) Optional arguments: overwrite_x := 0 input int s := old_shape(x,j++) input rank-1 array(‘i’) with bounds (r) direction := 1 input int normalize := (direction<0) input int Return objects: y : rank-1 array(‘D’) with bounds (*) and x storage
destroy_drfft_cache ()	destroy_drfft_cache - Function signature: destroy_drfft_cache()
destroy_zfft_cache ()	destroy_zfft_cache - Function signature: destroy_zfft_cache()
destroy_zfftnd_cache ()	destroy_zfftnd_cache - Function signature: destroy_zfftnd_cache()