How to divide a signal into windows using loops

i have a signal y which is 11439 long supposing it is y=randn(1,11439) which I want to divide into windows of lengths [16,64,256,1024,4096] where each window overlaps with 50% of the previous window

using 16 as an example I want the whole signal to be divided to windows of length 16 where each window overlaps with the previous by 50% like 1:16 then 8:24 and store each window

how can I implement that using a for loop or if statement

Answer 1

[Adam Danz]

 y=randi(100,1,11439); % Integers used for easy comparison
 n = 16;  % must be even
 windowStart = [1, n/2+1:n/2:numel(y)]; 
 windowStop = n:n/2:numel(y);  
 
 nColumns = floor(numel(y)/(n/2))-1; 
 ym = nan(nColumns,n);
 for i = 1:nColumns
     ym(i,:) = y(windowStart(i):windowStop(i));
 end 

View results; you can see columns 9:16 of row n match columns 1:8 for row n+1.

 ym(1:4,:)

ans = 4×16

63 73 82 27 3 25 35 41 33 48 76 80 5 40 54 21 33 48 76 80 5 40 54 21 39 93 98 59 37 92 74 2 39 93 98 59 37 92 74 2 62 34 47 39 39 87 51 100 62 34 47 39 39 87 51 100 9 70 9 76 99 47 92 59

Any trailing values of y that didn't fit into the last window are ignored.