FFTW(3pm) User Contributed Perl Documentation FFTW(3pm)
NAME
PDL::FFTW - PDL interface to the Fastest Fourier Transform in the West v2.x
DESCRIPTION
This is a means to interface PDL with the FFTW library. It's similar to the standard FFT routine but it's usually faster and has support
for real transforms. It works well for the types of PDLs for which was the library was compiled (otherwise it must do conversions).
SYNOPSIS
use PDL::FFTW
load_wisdom("file_name");
out_cplx_pdl = fftw(in_cplx_pdl);
out_cplx_pdl = ifftw(in_cplx_pdl);
out_cplx_pdl = rfftw(in_real_pdl);
out_real_pdl = irfftw(in_cplx_pdl);
cplx_pdl = nfftw(cplx_pdl);
cplx_pdl = infftw(cplx_pdl);
cplx_pdl = Cmul(a_cplx_pdl, b_cplx_pdl);
cplx_pdl = Cconj(a_cplx_pdl);
real_pdl = Cmod(a_cplx_pdl);
real_pdl = Cmod2(a_cplx_pdl);
FFTW documentation
Please refer to the FFTW documentation for a better understanding of these functions.
Note that complex numbers are represented as piddles with leading dimension size 2 (real/imaginary pairs).
FUNCTIONS
load_wisdom
Loads the wisdom from a file for better FFTW performance.
The wisdom is automatically saved when the program ends. It will be automagically called when the variable $PDL::FFT::wisdom is set to a
file name. For example, the following is a useful idiom to have in your .perldlrc file:
$PDL::FFT::wisdom = "$ENV{HOME}/.fftwisdom"; # save fftw wisdom in this file
Explicit usage:
load_wisdom($fname);
fftw
calculate the complex FFT of a real piddle (complex input, complex output)
$pdl_cplx = fftw $pdl_cplx;
ifftw
Complex inverse FFT (complex input, complex output).
$pdl_cplx = ifftw $pdl_cplx;
nfftw
Complex inplace FFT (complex input, complex output).
$pdl_cplx = nfftw $pdl_cplx;
infftw
Complex inplace inverse FFT (complex input, complex output).
$pdl_cplx = infftw $pdl_cplx;
rfftw
Real FFT. For an input piddle of dimensions [n1,n2,...] the output is [2,(n1/2)+1,n2,...] (real input, complex output).
$pdl_cplx = fftw $pdl_real;
irfftw
Real inverse FFT. Have a look at rfftw to understand the format. USE ONLY an even n1! (complex input, real output)
$pdl_real = ifftw $pdl_cplx;
nrfftw
Real inplace FFT. If you want a transformation on a piddle with dimensions [n1,n2,....] you MUST pass in a piddle with dimensions
[2*(n1/2+1),n2,...] (real input, complex output).
Use with care due to dimension restrictions mentioned below. For details check the html docs that come with the fftw library.
$pdl_cplx = nrfftw $pdl_real;
inrfftw
Real inplace inverse FFT. Have a look at nrfftw to understand the format. USE ONLY an even first dimension size! (complex input, real
output)
$pdl_real = infftw $pdl_cplx;
rfftwconv
ND convolution using real ffts from the FFTW library
$conv = rfftwconv $im, kernctr $im, $k; # kernctr is from PDL::FFT
fftwconv
ND convolution using complex ffts from the FFTW library
Assumes real input!
$conv = fftwconv $im, kernctr $im, $k; # kernctr is from PDL::FFT
Cmul
Signature: (a(n); b(n); [o]c(n))
Cmul
Complex multiplication
$out_pdl_cplx = Cmul($a_pdl_cplx,$b_pdl_cplx);
Cmul does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
Cscale
Signature: (a(n); b(); [o]c(n))
Cscale
Complex by real multiplation.
$out_pdl_cplx = Cscale($a_pdl_cplx,$b_pdl_real);
Cscale does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
Cdiv
Signature: (a(n); b(n); [o]c(n))
Cdiv
Complex division.
$out_pdl_cplx = Cdiv($a_pdl_cplx,$b_pdl_cplx);
Cdiv does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
Cbmul
Signature: (a(n); b(n))
Cbmul
Complex inplace multiplication.
Cbmul($a_pdl_cplx,$b_pdl_cplx);
Cbmul does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
Cbscale
Signature: (a(n); b())
Cbscale
Complex inplace multiplaction by real.
Cbscale($a_pdl_cplx,$b_pdl_real);
Cbscale does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
Cconj
Signature: (a(n); [o]c(n))
Cconj
Complex conjugate.
$out_pdl_cplx = Cconj($a_pdl_cplx);
Cconj does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
Cbconj
Signature: (a(n))
Cbconj
Complex inplace conjugate.
Cbconj($a_pdl_cplx);
Cbconj does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
Cexp
Signature: (a(n); [o]c(n))
Cexp
Complex exponentation.
$out_pdl_cplx = Cexp($a_pdl_cplx);
Cexp does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
Cbexp
Signature: (a(n))
Cbexp
Complex inplace exponentation.
$out_pdl_cplx = Cbexp($a_pdl_cplx);
Cbexp does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
Cmod
Signature: (a(n); [o]c())
Cmod
modulus of a complex piddle.
$out_pdl_real = Cmod($a_pdl_cplx);
Cmod does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
Carg
Signature: (a(n); [o]c())
Carg
argument of a complex number.
$out_pdl_real = Carg($a_pdl_cplx);
Carg does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
Cmod2
Signature: (a(n); [o]c())
Cmod2
Returns squared modulus of a complex number.
$out_pdl_real = Cmod2($a_pdl_cplx);
Cmod2 does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
AUTHOR
Copyright (C) 1999 Christian Pellegrin, 2000 Christian Soeller. All rights reserved. There is no warranty. You are allowed to redistribute
this software / documentation under certain conditions. For details, see the file COPYING in the PDL distribution. If this file is
separated from the PDL distribution, the copyright notice should be included in the file.
perl v5.14.2 2012-05-30 FFTW(3pm)