不调用系统函数的汉明码matlab代码

下面是一个示例的汉明码 Matlab 代码，该代码不依赖于 Matlab 的系统函数：

function [codeword, H] = hamming_encode(msg, m)
% msg: input message
% m: number of parity bits

% determine the length of the input message
n = 2^m - 1 - m;

% generate the parity check matrix H
H = generate_H(m);

% pad the message with zeros
msg_pad = [msg zeros(1, n-length(msg))];

% compute the parity bits
p = mod(msg_pad*H', 2);

% concatenate the message and parity bits
codeword = [msg_pad p];
end

function H = generate_H(m)
% generate the parity check matrix H

% initialize H as an empty matrix
H = [];

% generate the parity check matrix row by row
for i = 0:m-1
    % generate the binary representation of i as a row vector
    row = dec2bin(i, m) - '0';
    
    % generate the parity check matrix for this row
    H_row = [];
    for j = 1:m
        H_row = [H_row circshift(row, j-1)];
    end
    
    % add the row to the parity check matrix
    H = [H; H_row];
end
end

该代码实现了汉明码的编码过程，其中输入参数包括消息 msg 和码字长度 m。代码中使用了一个名为 `generate_H()` 的辅助函数，该函数用于生成汉明码的校验矩阵 H。函数的输出结果包括编码后的码字 codeword 和汉明码的校验矩阵 H。