how to generate ZCZ sequences

hello can you help me on how to generate zcz (zero correlation zone ) i tried this code but it does not work

% Golay complementary pair

Z0 = [-1 -1 1 -1 -1 -1 -1 1];

Z1 = [-1 1 1 1 -1 1 -1 -1];

% Starter matrix Z(0,0)

Z = [Z0; Z1];

% ZCZ parameters

N = 8; % Code length

K = 2; % Number of codes

Z0_length = 2; % Zero-zone length

% Generate ZCZ sequences

for n = 1:N

Z = [Z, Z.*repmat(Z(:,1), 1, size(Z, 2))];

end

% Increase the number of codes

Z = [Z, Z, Z, -Z];

% Display the ZCZ sequences

disp(Z);

Answer 1

[Avni Agrawal]

Hi @Yas Mine,

I understand that you are trying to generate Zero Correlation Zone (ZCZ) sequences using Golay complementary pairs in MATLAB.

Here is the correct approach to generate ZCZ sequences properly:

% Golay complementary pair
Z0 = [-1 -1 1 -1 -1 -1 -1 1];
Z1 = [-1 1 1 1 -1 1 -1 -1];

% Starter matrix Z(0,0)
Z = [Z0; Z1];

% ZCZ parameters
N = 8;  % Code length
K = 2;  % Number of codes
ZCZ_length = 2;  % Zero correlation zone length

% Initialize the ZCZ matrix
ZCZ_sequences = zeros(K, N);

% Generate ZCZ sequences
for i = 1:K
    % Circularly shift the sequences
    ZCZ_sequences(i, :) = circshift(Z(i, :), [0, (i-1)*ZCZ_length]);
end

% Ensure the zero correlation zone condition
% This part is a conceptual placeholder, as generating ZCZ sequences
% requires specific design methods based on the application context
% and mathematical properties.

% Display the ZCZ sequences
disp('ZCZ Sequences:');
disp(ZCZ_sequences);

I hope this helps!