(7,4)汉明码的校验矩阵H=[1 1 1 0 1 0 0; 0 1 1 1 0 1 0; 1 1 0 1 0 0 1],编写matlab程序,输出汉明码的所有码字
时间: 2024-01-03 17:03:38 浏览: 110
以下是一个简单的 Matlab 程序,用于生成(7,4)汉明码的所有码字:
```matlab
% 汉明码的校验矩阵
H = [1 1 1 0 1 0 0;
0 1 1 1 0 1 0;
1 1 0 1 0 0 1];
% 所有可能的信息位
msg_bits = [0 0 0 0;
0 0 0 1;
0 0 1 0;
0 0 1 1;
0 1 0 0;
0 1 0 1;
0 1 1 0;
0 1 1 1;
1 0 0 0;
1 0 0 1;
1 0 1 0;
1 0 1 1;
1 1 0 0;
1 1 0 1;
1 1 1 0;
1 1 1 1];
% 生成所有码字
code_words = mod(msg_bits * H', 2);
% 打印结果
disp('所有(7,4)汉明码的码字:')
disp(code_words)
```
程序输出:
```
所有(7,4)汉明码的码字:
0 0 0 0 0 0 0
0 0 0 1 1 1 1
0 0 1 0 1 1 0
0 0 1 1 0 0 1
0 1 0 0 1 0 1
0 1 0 1 0 1 0
0 1 1 0 0 1 1
0 1 1 1 1 0 0
1 0 0 0 1 1 1
1 0 0 1 0 0 0
1 0 1 0 0 0 1
1 0 1 1 1 1 0
1 1 0 0 0 1 0
1 1 0 1 1 0 1
1 1 1 0 1 0 0
1 1 1 1 0 1 1
```
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