MATLAB: CALCULATION SUBSTRINGS OF MATRIZ SEQUENCES

Question

Using the following code, I made a substrings of sequence. For example, i have the next sequence:

s = 0 (1) 1 (2) 1 (3) 0 (4) 1 (5) 1 (6) 0 (7) 1 (8) 0 (9) 0 (10) 0 (11) 1 (12)

(Numbers in parentheses indicate the order only) and applying the following code:

if true
    % code

n=4;

m=numel(s)-n+1;

A=zeros(m,n);

idx=cell2mat(arrayfun(@(x) x:x+n-1,(1:m)','un',0));

out=s(idx)

end

I get:

0 (1) 1 (2) 1 (3) 0 (4)

1 (2) 1 (3) 0 (4) 1 (5)

1 (3) 0 (4) 1 (5) 1 (6)

0 (4) 1 (5) 1 (6) 0 (7)

1 (5) 1 (6) 0 (7) 1 (8)

1 (6) 0 (7) 1 (8) 0 (9)

0 (7) 1 (8) 0 (9) 0 (10)

1 (8) 0 (9) 0 (10) 0 (11)

0 (9) 0 (10) 0 (11) 1 (12)

But if instead of having a sequence, I have an array of sequences, as calculated the substrings of all sequences of the matrix, and store all of the substring in other matrix?

For example,

0 1 1 0 1 1 0 1 0 0 0 1

0 1 1 1 1 1 0 1 1 0 0 0

Many thanks

Answer 1

s = [0 1 1 0 1 1 0 1 0 0 0 1;
0 1 1 1 1 1 0 1 1 0 0 0];
sz = size(s);
k = 4;
s1 = s';
idx = bsxfun(@plus,hankel(1:k,k:sz(2))',reshape(sz(2)*(0:sz(1)-1),1,1,[]));
out = s1(idx);