📄 walsh.m
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function y=walsh(x)
clc
code_length=x;
% Initialization: -1=0 and +1=1
code=[1 1; 1 -1];
[r1 c1]=size(code);
while r1<code_length
for i=1:r1
for j=1:c1
code(i+r1,j)=code(i,j);
end
end
for j=1:c1
for i=1:r1
code(i,j+c1)=code(i,j);
end
end
for i=1:r1
for j=1:c1
code(i+r1,j+c1)=-1*code(i,j);
end
end
[r1 c1]=size(code);
end
% Checking mutual orthogonality of all rows
sum=0;
data=[];
rows=[];
for i=1:r1
A=code(i,:);
for j=1:r1
B=code(j,:);
for k=1:c1
sum=sum+A(k)*B(k);
end
data=[data sum];
sum=0;
end
count=0;
for h=1:length(data)
if data(h)>0
count=count+1;
end
end
data=[];
if count<=1
rows=[rows i];
end
end
y=code;
if length(rows)==r1
fprintf('All rows are orthgonal with each other')
else
fprintf('Following given rows are orthogonal with each other')
rows
end
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