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systematize

PURPOSE ^

%

SYNOPSIS ^

function [G,P]=systematize(G)

DESCRIPTION ^

% -*- texinfo -*-
% @deftypefn {Function File} {}  systematize (@var{G})
% 
% Given @var{G}, extract P partiy check matrix. Assume row-operations in GF(2).
% @var{G} is of size KxN, when decomposed through row-operations into a @var{I} of size KxK
% identity matrix, and a parity check matrix @var{P} of size Kx(N-K).
% 
% Most arbitrary code with a given generator matrix @var{G}, can be converted into its
% systematic form using this function.
%
% This function returns 2 values, first is default being @var{Gx} the systematic version of
% the @var{G} matrix, and then the parity check matrix @var{P}.
%
% @example
% @group
%   G=[1 1 1 1; 1 1 0 1; 1 0 0 1];
%   [Gx,P]=systematize(G);
%    
%   Gx = [1 0 0 1; 0 1 0 0; 0 0 1 0];
%   P = [1 0 0];
% @end group
% @end example
%
% @end deftypefn
% @seealso{bchpoly,biterr}

CROSS-REFERENCE INFORMATION ^

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