&]\c@`s)dZddlmZmZmZddddddd d d d d ddddddddddddgZddlTddlTddlTddl m Z x3ddddd d gD]Z e e e e qW[ [ ddl Tejdddd d!d"d#d$gdd%lmZeeZ[d&S('s ================================================== 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 i(tdivisiontprint_functiontabsolute_importtffttiffttfftntifftntrffttirffttfft2tifft2tdiffttilberttitilbertthilberttihilberttsc_difftcs_difftcc_difftss_difftshifttfftfreqtrfftfreqtfftshiftt ifftshiftt next_fast_leni(t*(t register_functdcttidcttdsttidsttdctntidctntdstntidstn(t PytestTesterN(t__doc__t __future__RRRt__all__tbasict pseudo_diffsthelpert numpy.dualRtktevaltrealtransformstextendtscipy._lib._testutilsR$t__name__ttest(((s5lib/python2.7/site-packages/scipy/fftpack/__init__.pytJs.