## Copyright (C) 2003 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 2 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, write to the Free Software ## Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA ## -*- texinfo -*- ## @deftypefn {Function File} {} gconvmtx (@var{a}, @var{n}) ## ## Create matrix to perform repeated convolutions with the same vector ## in a Galois Field. If @var{a} is a column vector and @var{x} is a ## column vector of length @var{n}, in a Galois Field then ## ## @code{gconvmtx(@var{a}, @var{n}) * @var{x}} ## ## gives the convolution of of @var{a} and @var{x} and is the ## same as @code{gconv(@var{a}, @var{x})}. The difference is if ## many vectors are to be convolved with the same vector, then ## this technique is possibly faster. ## ## Similarly, if @var{a} is a row vector and @var{x} is a row ## vector of length @var{n}, then ## ## @code{@var{x} * gconvmtx(@var{a}, @var{n})} ## ## is the same as @code{gconv(@var{x}, @var{a})}. ## @end deftypefn ## @seealso{gconv,convmtx,conv} ## PKG_ADD: dispatch ("convmtx", "gconvmtx", "galois"); function b = gconvmtx (a, n) if (!isgalois (a)) error("gconvmtx: argument must be a galois variable"); endif b = gf(convmtx(a.x,n), a.m, a.prim_poly); endfunction