📄 pr7_37.m
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%Problem 7.37;
%TSC and average squared correlation per signature pair;
clear all;
m=6; K=2^m; %set size of Hadamard matrix;
N=K-1; %set spreading factor N<=K;
A=hadamard(K); A=A(1:N,:); %signature matrix, columns are signatures;
[N,K]=size(A); %number of users and length in case of another way of inputting A;
for k=1:K
A(:,k)=A(:,k)/norm(A(:,k)); %normalization of signatures;
end;
Ro=A'*A; %correlation matrix;
TSC=sum(sum(abs(Ro).^2)); %TSC ready;
avsc=(TSC-K)/(K*(K-1)); %average squarsd correlation per pair;
WB=(K^2)/N; WBav=(K-N)/(N*(K-1)); %bound on average squared correlation;
disp(' TSC Welch bnd MAIpsig Bound on aver.'); %displaying TSC, Welc bound, MAI per signature pair, bound on it;
disp([TSC,WB,avsc,WBav]);
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