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- """
- =========================================================
- Legacy discrete Fourier transforms (:mod:`scipy.fftpack`)
- =========================================================
- .. warning::
- This submodule is now considered 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 *
- # Deprecated namespaces, to be removed in v2.0.0
- from . import basic, helper, pseudo_diffs, realtransforms
- from scipy._lib._testutils import PytestTester
- test = PytestTester(__name__)
- del PytestTester
|
