how can i form a ZCT matrix of 64*64.

how can i form a ZCT matrix of 64*64.

Answer 1

[Kautuk Raj]

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.