X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?a=blobdiff_plain;f=octave_packages%2Fcommunications-1.1.1%2F%40galois%2Ffft.m;fp=octave_packages%2Fcommunications-1.1.1%2F%40galois%2Ffft.m;h=2aca25f9b4f55de76eed46fed016647b700cfedd;hb=f5f7a74bd8a4900f0b797da6783be80e11a68d86;hp=0000000000000000000000000000000000000000;hpb=1705066eceaaea976f010f669ce8e972f3734b05;p=CreaPhase.git diff --git a/octave_packages/communications-1.1.1/@galois/fft.m b/octave_packages/communications-1.1.1/@galois/fft.m new file mode 100644 index 0000000..2aca25f --- /dev/null +++ b/octave_packages/communications-1.1.1/@galois/fft.m @@ -0,0 +1,50 @@ +## Copyright (C) 2002 David Bateman +## +## This program is free software; you can redistribute it and/or modify it under +## the terms of the GNU General Public License as published by the Free Software +## Foundation; either version 3 of the License, or (at your option) any later +## version. +## +## This program is distributed in the hope that it will be useful, but WITHOUT +## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or +## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more +## details. +## +## You should have received a copy of the GNU General Public License along with +## this program; if not, see . + +## -*- texinfo -*- +## @deftypefn {Function File} {} fft (@var{x}) +## +## If @var{x} is a column vector, finds the FFT over the primitive element +## of the Galois Field of @var{x}. If @var{x} is in the Galois Field +## GF(2^@var{m}), then @var{x} must have @code{2^@var{m} - 1} elements. +## @end deftypefn + +function y = fft(x) + + if (nargin != 1) + error ("usage: y = fft (x)"); + endif + + if (!isgalois(x)) + error("fft: argument must be a galois variable"); + endif + + n = 2^x.m - 1; + if (n > 255) + error ([ "fft: argument must be in Galois Field GF(2^m), where", ... + " m is not greater than 8"]); + endif + + alph = gf(2, x.m, x.prim_poly); + [nr,nc] = size(x); + if ((nc == 1) && (nr == n)) + y = dftmtx(alph) * x; + elseif ((nc == n) && (nr == 1)) + y = (dftmtx(alph) * x')'; + else + error ("fft: argument must be a vector in GF(2^m) of length 2^m-1"); + endif + +endfunction