📄 orthogonality.m
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function lambda = Orthogonality(checkMatrix_H)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% @author Andreas Waadt, 13. November 2005
% @param checkMatrix_H : the parity check matrix of the code
% @return lambda : the orthogonality of checkMatrix_H
% This function calculates the orthogonality (lambda) of a
% Parity-Check-Matrix H (checkMatrix_H).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
sizeOfMatrix = size(checkMatrix_H);
j_rows = sizeOfMatrix(1);
n_columns = sizeOfMatrix(2);
lambda = 0;
scalar_product = 0;
for column1 = 1 : 1 : n_columns-1
for column2 = column1+1 : 1 : n_columns
scalar_product = 0;
for row = 1 : 1 : j_rows
scalar_product = scalar_product + checkMatrix_H(column1,row) * checkMatrix_H(column2,row);
end;
if(scalar_product > lambda)
lambda = scalar_product;
end;
end;
end;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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