105 lines
3.1 KiB
Python
105 lines
3.1 KiB
Python
"""
|
|
=========================================================
|
|
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
|