RS编码解码的各种函数 及主函数 MATLAB代码
MATLAB源程序如下:
- % realize a (31,25) RS encoding & decoding in GF(2^5)
- % primitive polynomial in GF(2^5): a^5=a^2+1
- % generator polynomial g(x)=(x+a)(x+a^2)(x+a^3)(x+a^4)(x+a^5)(x+a^6)
- % codeword length N=31
- % information sequence length k=25
- % maximum number of error-correcting t=3
- % the table convert the powers of a to a decimal number
- T=[1,2,4,8,16,5,10,20,13,26,17,7,14,28,29,31,27,19,3,6,12,24,21,15,30,25,23,11,22,9,18];
- % the input information sequence
- disp('输入信息序列:')
- m_xi=1:25
- % press any key to continue, to view the results clearly
- disp('Press any key to continue...')
- pause
- % sequence after encoding
- disp('编码输出序列(发送序列):')
- t_x=rs_encode(m_xi)
- disp('Press any key to continue...')
- pause
- % press any key to continue
- disp('信道产生的错误位置:')
- sitegen=[0 5 30]
- disp('信道产生的错误数值:')
- valuegen=[5 3 7]
- num=length(valuegen);
- disp('Press any key to continue...')
- pause
- % press any key to continue
- % sequence received after channel
- disp('接收序列')
- r_x=rs_channel(t_x,num,sitegen,valuegen)
- disp('Press any key to continue...')
- pause
- % press any key to continue
- % sequence after decoding
- m_xo=rs_decoder(r_x)
- disp('Done!')
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