| """ |
| ========================================================= |
| Legacy discrete Fourier transforms (:mod:`scipy.fftpack`) |
| ========================================================= |
| |
| .. legacy:: |
| |
| New code should use :mod:`scipy.fft`. |
| |
| 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 (:mod:`scipy.fftpack.convolve`) |
| ============================================ |
| |
| .. module:: scipy.fftpack.convolve |
| |
| .. autosummary:: |
| :toctree: generated/ |
| |
| convolve |
| convolve_z |
| init_convolution_kernel |
| destroy_convolve_cache |
| |
| """ |
|
|
|
|
| __all__ = ['fft','ifft','fftn','ifftn','rfft','irfft', |
| 'fft2','ifft2', |
| 'diff', |
| 'tilbert','itilbert','hilbert','ihilbert', |
| 'sc_diff','cs_diff','cc_diff','ss_diff', |
| 'shift', |
| 'fftfreq', 'rfftfreq', |
| 'fftshift', 'ifftshift', |
| 'next_fast_len', |
| 'dct', 'idct', 'dst', 'idst', 'dctn', 'idctn', 'dstn', 'idstn' |
| ] |
|
|
| from ._basic import * |
| from ._pseudo_diffs import * |
| from ._helper import * |
| from ._realtransforms import * |
|
|
| |
| from . import basic, helper, pseudo_diffs, realtransforms |
|
|
| from scipy._lib._testutils import PytestTester |
| test = PytestTester(__name__) |
| del PytestTester |
|
|
