1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
|
# This file is executed by __init__.py and ppimport hooks.
"""
Discrete Fourier Transform algorithms
=====================================
Fast Fourier Transforms:
fft --- FFT of arbitrary type periodic sequences
ifft --- Inverse of fft
fftn --- Multi-dimensional FFT
ifftn --- Inverse of fftn
fft2 --- Two-dimensional FFT
ifft2 --- Inverse of fft2
rfft --- FFT of real periodic sequences
irfft --- Inverse of rfft
Differential and pseudo-differential operators:
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:
fftshift --- Shift zero-frequency component to center of spectrum
ifftshift --- Inverse of freqshift
dftfreq --- DFT sample frequencies
rfftfreq --- DFT sample frequencies (specific to rfft,irfft)
Extension modules:
_fftpack --- Provides functions zfft, drfft, zrfft, zfftnd,
destroy_*_cache
convolve --- Provides functions 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',
'rfftfreq'
]
if __doc__:
__doc_title__ = __doc__.lstrip().split('\n',1)[0]
else:
__doc_title__ = None
postpone_import = 1
global_symbols = ['fft','fftn','fft2','ifft','ifft2','ifftn',
'fftshift','ifftshift','fftfreq']
|
