How to measure the hamming distnace between the rows of a matrix?

hello,

how can I find the hamming distance among the rows of a matrix A without repeation. For example:

A=[ 0,1,1,1,0,1,0;

0,1,0,1,1,1,1;

1,1,0,1,0,0,0;

1,1,1,1,1,1,0;

1,0,0,0,1,1,0 ]

then, I want to get the hamming distance of rows (1,2), (1,3), (1,4), (1,5) , (2,3), (2,4), (2,5), (3,4), (3,5), and (4,5).

So, how we could do that?

Regards,

Answer 1

[Star Strider]

Use the pdist2 function, and specifically the Distance argument to specify 'hamming' as the metric.

Example —

A=[ 0,1,1,1,0,1,0;
0,1,0,1,1,1,1;
1,1,0,1,0,0,0;
1,1,1,1,1,1,0;
1,0,0,0,1,1,0 ];

for k1 = 1:size(A,1)-1
    for k2 = k1+1:size(A,1)
        D(k1,k2) = pdist2(A(k1,:),A(k2,:), 'hamming');
    end
end

[Sarah A]

It works. Thank you :)

[Star Strider]

As always, my pleasure!