matlab汉明码代码

以下是 matlab 汉明码编码和解码的示例代码：

汉明编码：

function [coded] = hamming_encode(data)
%HAMMING_ENCODE Encode binary data using Hamming code.
%   coded = HAMMING_ENCODE(data) encodes binary data using Hamming code.
%   data: input binary data
%   coded: output encoded data

% Define parity check matrix
H = [1 1 1 0 1 0 0;
     1 0 1 0 0 1 0;
     1 0 0 1 0 0 1];

% Calculate number of parity bits required
k = size(data, 2);
r = ceil(log2(k + 1));

% Add zeros to data to make the length a power of 2
data = [data zeros(1, 2^r - k - 1)];

% Calculate parity bits
for i = 1:r
    % Calculate the bits to be XORed
    idx = 2^(i-1) : 2^i - 1;
    bits = mod(sum(data(idx)), 2);
    % Replace parity bit
    data(2^(i-1)) = bits;
end

% Calculate output encoded data
coded = [data zeros(1, r)];

汉明解码：

function [decoded] = hamming_decode(data)
%HAMMING_DECODE Decode binary data using Hamming code.
%   decoded = HAMMING_DECODE(data) decodes binary data using Hamming code.
%   data: input binary data
%   decoded: output decoded data

% Define parity check matrix
H = [1 1 1 0 1 0 0;
     1 0 1 0 0 1 0;
     1 0 0 1 0 0 1];

% Calculate number of parity bits required
r = size(H, 1);

% Calculate syndrome
syndrome = mod(data * H', 2);

% Check for errors
if sum(syndrome) ~= 0
    % Find index of error bit
    error_idx = bin2dec(num2str(syndrome));
    % Correct error bit
    data(error_idx) = mod(data(error_idx) + 1, 2);
end

% Remove parity bits
decoded = data(1:end-r);

以上代码仅供参考，具体实现可能需要根据实际需求做适当修改。