The ZCT pattern is a matrix of -1's and 1's that is repeated in a checkerboard pattern across the matrix. This is an example code snippet that shows how to create a ZCT matrix of size 64x64:
% Define the ZCT pattern
zct_pattern = [-1 1 -1 1 -1 -1 1 -1 ...
1 -1 1 -1 1 1 -1 1 ...
-1 1 -1 1 -1 -1 1 -1 ...
1 -1 1 -1 1 1 -1 1 ...
-1 1 -1 1 -1 -1 1 -1 ...
-1 1 -1 1 -1 -1 1 -1 ...
1 -1 1 -1 1 1 -1 1 ...
-1 1 -1 1 -1 -1 1 -1];
% Create the ZCT matrix
zct_matrix = zeros(64, 64);
for i = 1:8:64
for j = 1:8:64
zct_matrix(i:i+7, j:j+7) = reshape(zct_pattern, [8, 8]);
zct_pattern = -zct_pattern; % flip the sign of the pattern for the next block
end
zct_pattern = -zct_pattern; % flip the sign of the pattern for the next row of blocks
end
After running this code, the zct_matrix variable will contain the 64x64 ZCT matrix.
