scipy.fftpack

Legacy discrete Fourier transforms (scipy.fftpack)

Fast Fourier Transforms (FFTs)

.. autosummary:: 
    :toctree:generated/
    fft - Fast (discrete) Fourier Transform (FFT)
    ifft - Inverse FFT
    fft2 - 2-D FFT
    ifft2 - 2-D inverse FFT
    fftn - N-D FFT
    ifftn - N-D inverse FFT
    rfft - FFT of strictly real-valued sequence
    irfft - Inverse of rfft
    dct - Discrete cosine transform
    idct - Inverse discrete cosine transform
    dctn - N-D Discrete cosine transform
    idctn - N-D Inverse discrete cosine transform
    dst - Discrete sine transform
    idst - Inverse discrete sine transform
    dstn - N-D Discrete sine transform
    idstn - N-D Inverse discrete sine transform

Differential and pseudo-differential operators

.. autosummary:: 
    :toctree:generated/
    diff - Differentiation and integration of periodic sequences
    tilbert - Tilbert transform:         cs_diff(x,h,h)
    itilbert - Inverse Tilbert transform: sc_diff(x,h,h)
    hilbert - Hilbert transform:         cs_diff(x,inf,inf)
    ihilbert - Inverse Hilbert transform: sc_diff(x,inf,inf)
    cs_diff - cosh/sinh pseudo-derivative of periodic sequences
    sc_diff - sinh/cosh pseudo-derivative of periodic sequences
    ss_diff - sinh/sinh pseudo-derivative of periodic sequences
    cc_diff - cosh/cosh pseudo-derivative of periodic sequences
    shift - Shift periodic sequences

Helper functions

.. autosummary:: 
    :toctree:generated/
    fftshift - Shift the zero-frequency component to the center of the spectrum
    ifftshift - The inverse of `fftshift`
    fftfreq - Return the Discrete Fourier Transform sample frequencies
    rfftfreq - DFT sample frequencies (for usage with rfft, irfft)
    next_fast_len - Find the optimal length to zero-pad an FFT for speed

Note that fftshift, ifftshift and fftfreq are numpy functions exposed by fftpack; importing them from numpy should be preferred.

Convolutions (scipy.fftpack.convolve)

.. autosummary:: 
    :toctree:generated/
    convolve
    convolve_z
    init_convolution_kernel
    destroy_convolve_cache