📄 goldacorr.m
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%-------------------------------------------------------------
% Compute auto-correlation of a Gold sequence
%-------------------------------------------------------------
%--- compute Gold sequence of length 2^7-1 ---
N = 7;
m = 2^N -1; % length
G1seq = [ones(1,N-1), -1];
for n=N+1:m
G1seq(n)=G1seq(n-N)*G1seq(n-3);
end
G2seq = [ones(1,N-1), -1];
for n=N+1:m
G2seq(n)=G2seq(n-N)*G2seq(n-5)*G2seq(n-4)*G2seq(n-3)*G2seq(n-2)*G2seq(n-1);
end
Goldseq = G1seq.*G2seq;
%--- oversample by 4 ---
osMseq = ones(4,1)*Goldseq;
osMseq = osMseq(:);
%--- compute auto-correlation ---
h12 = xcorr([osMseq' osMseq' osMseq'], osMseq');
plot([-3*4*127:3*4*127-2]-507,(h12)/(4*127)); grid on
axis([-500 500 -.25 1])
ylabel('Normalized Auto-correlation')
xlabel('Delay(samples)')
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