/usr/share/octave/packages/communications-1.1.1/@galois/fft.m is in octave-communications-common 1.1.1-1.
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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 | ## 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 <http://www.gnu.org/licenses/>.
## -*- 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
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