If you have the Image Processing toolbox,
a=[1 1 3 2; 1 0 2 1 ; 7 4 3 1; 5 6 3 7];
fun = @(block_struct) sum(block_struct.data(:));
blockproc(a,[2 2],fun)
ans =
3 8
22 14
if Not,
a=rand(6,9);
RowBlock=2;
m=size(a,1)/RowBlock; % make sure m is an integer
ColBlock=3;
n=size(a,2)/ColBlock; % make sure n is an integer
b=mat2cell(a,repmat(RowBlock,1,m),repmat(ColBlock,1,n));
c=cellfun(@(x) sum(x(:)), b)
