基于译码可靠性的系统Polar码删余方法

Puncturing method for systematic Polar code based on decoding reliability

为了研究删余系统Polar码的性能,提出了一种基于译码可靠性的系统Polar码删余方法.考虑到信道噪声对不同码字比特译码结果的影响并不相同,通过高斯近似的方法计算码字中每个比特的译码可靠性值并对其排序,选择可靠性值较低的码字比特位置作为删余位,构造删余系统Polar码.分析了不同删余方法对误比特率(BER)性能的影响,并将系统Polar码与非系统Polar码的性能进行了对比.仿真结果表明:在同等删余码率下,基于译码可靠性删余法的Polar码性能优于随机删余法的Polar码性能;与等条件下非系统Polar码相比,基于译码可靠性删余法的系统Polar码具有更好的误比特率性能.

To study the performance of the punctured systematic Polar code,a puncturing method for the systematic Polar code based on decoding reliability is proposed.Considering different effects of channel noise on the decoding results of different code bits,the decoding reliability of each bit is calculated by using the Gaussian approximation method and sorted.The code bits with lower decoding reliability are chosen as the punctured positions to construct the punctured systematic Polar code.The influences of different puncturing methods on the bit error rate(BER)performance are analyzed.The BER performance of the systematic Polar code is compared with that of the non-systematic Polar code.The simulation results show that,with the same puncturing rate,the performance of the Polar code based on the puncturing method with decoding reliability is superior to that based on the random puncturing method.Meanwhile,compared with the non-systematic Polar code under the same condition,the systematic Polar code based on the puncturing method of decoding reliability exhibits better BER performance.