| 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114 |
- """
- ==================================================
- Discrete Fourier transforms (:mod:`scipy.fftpack`)
- ==================================================
- Fast Fourier Transforms (FFTs)
- ==============================
- .. autosummary::
- :toctree: generated/
- fft - Fast (discrete) Fourier Transform (FFT)
- ifft - Inverse FFT
- fft2 - Two dimensional FFT
- ifft2 - Two dimensional inverse FFT
- fftn - n-dimensional FFT
- ifftn - n-dimensional inverse FFT
- rfft - FFT of strictly real-valued sequence
- irfft - Inverse of rfft
- dct - Discrete cosine transform
- idct - Inverse discrete cosine transform
- dctn - n-dimensional Discrete cosine transform
- idctn - n-dimensional Inverse discrete cosine transform
- dst - Discrete sine transform
- idst - Inverse discrete sine transform
- dstn - n-dimensional Discrete sine transform
- idstn - n-dimensional 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
- """
- # List of possibly useful functions in scipy.fftpack._fftpack:
- # drfft
- # zfft
- # zrfft
- # zfftnd
- # destroy_drfft_cache
- # destroy_zfft_cache
- # destroy_zfftnd_cache
- from __future__ import division, print_function, absolute_import
- __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',
- ]
- from .basic import *
- from .pseudo_diffs import *
- from .helper import *
- from numpy.dual import register_func
- for k in ['fft', 'ifft', 'fftn', 'ifftn', 'fft2', 'ifft2']:
- register_func(k, eval(k))
- del k, register_func
- from .realtransforms import *
- __all__.extend(['dct', 'idct', 'dst', 'idst', 'dctn', 'idctn', 'dstn',
- 'idstn'])
- from scipy._lib._testutils import PytestTester
- test = PytestTester(__name__)
- del PytestTester
|
