102 lines
3 KiB
Python
102 lines
3 KiB
Python
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"""
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=========================================================
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Legacy discrete Fourier transforms (:mod:`scipy.fftpack`)
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=========================================================
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.. warning::
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This submodule is now considered legacy, new code should use
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:mod:`scipy.fft`.
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Fast Fourier Transforms (FFTs)
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==============================
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.. autosummary::
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:toctree: generated/
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fft - Fast (discrete) Fourier Transform (FFT)
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ifft - Inverse FFT
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fft2 - 2-D FFT
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ifft2 - 2-D inverse FFT
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fftn - N-D FFT
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ifftn - N-D inverse FFT
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rfft - FFT of strictly real-valued sequence
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irfft - Inverse of rfft
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dct - Discrete cosine transform
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idct - Inverse discrete cosine transform
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dctn - N-D Discrete cosine transform
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idctn - N-D Inverse discrete cosine transform
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dst - Discrete sine transform
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idst - Inverse discrete sine transform
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dstn - N-D Discrete sine transform
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idstn - N-D Inverse discrete sine transform
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Differential and pseudo-differential operators
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==============================================
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.. autosummary::
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:toctree: generated/
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diff - Differentiation and integration of periodic sequences
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tilbert - Tilbert transform: cs_diff(x,h,h)
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itilbert - Inverse Tilbert transform: sc_diff(x,h,h)
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hilbert - Hilbert transform: cs_diff(x,inf,inf)
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ihilbert - Inverse Hilbert transform: sc_diff(x,inf,inf)
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cs_diff - cosh/sinh pseudo-derivative of periodic sequences
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sc_diff - sinh/cosh pseudo-derivative of periodic sequences
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ss_diff - sinh/sinh pseudo-derivative of periodic sequences
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cc_diff - cosh/cosh pseudo-derivative of periodic sequences
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shift - Shift periodic sequences
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Helper functions
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================
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.. autosummary::
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:toctree: generated/
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fftshift - Shift the zero-frequency component to the center of the spectrum
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ifftshift - The inverse of `fftshift`
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fftfreq - Return the Discrete Fourier Transform sample frequencies
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rfftfreq - DFT sample frequencies (for usage with rfft, irfft)
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next_fast_len - Find the optimal length to zero-pad an FFT for speed
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Note that ``fftshift``, ``ifftshift`` and ``fftfreq`` are numpy functions
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exposed by ``fftpack``; importing them from ``numpy`` should be preferred.
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Convolutions (:mod:`scipy.fftpack.convolve`)
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============================================
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.. module:: scipy.fftpack.convolve
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.. autosummary::
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:toctree: generated/
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convolve
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convolve_z
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init_convolution_kernel
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destroy_convolve_cache
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"""
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__all__ = ['fft','ifft','fftn','ifftn','rfft','irfft',
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'fft2','ifft2',
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'diff',
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'tilbert','itilbert','hilbert','ihilbert',
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'sc_diff','cs_diff','cc_diff','ss_diff',
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'shift',
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'fftfreq', 'rfftfreq',
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'fftshift', 'ifftshift',
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'next_fast_len',
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'dct', 'idct', 'dst', 'idst', 'dctn', 'idctn', 'dstn', 'idstn'
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]
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from .basic import *
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from .pseudo_diffs import *
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from .helper import *
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from .realtransforms import *
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from scipy._lib._testutils import PytestTester
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test = PytestTester(__name__)
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del PytestTester
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