Polar码在加性高斯白噪声信道下的性能分析

Performance analysis of Polar codes in additive Gaussian white noise channel

在加性高斯白噪声信道下,针对3种不同的Polar码译码算法进行性能研究。首先,阐述了Polar码的编码原理。然后,介绍了逐次消除(successive cancellation,SC)译码算法、逐次消除列表(successive cancellation list,SCL)译码算法和循环冗余校验辅助的逐次消除列表(cyclic redundancy check assisted successive cancellation list,CA-SCL)译码算法。最后,仿真对比结果表明Polar码长越长,性能越好。当码长为有限长时,Polar码在SC译码算法中的性能并不理想。采用SCL和CA-SCL译码算法,能使Polar码具有更佳的性能。

The paper studies the performance of three different Polar codes decoding algorithms in additive Gaussian white noise channel.Firstly,the encoding principle of the Polar codes was expounded.Then,three kinds of decoding algorithms were introduced:the successive cancellation(SC),the successive cancellation list(SCL)and the cyclic redundancy check assisted successive cancellation list(CA-SCL).Finally,the simulation showed the Polar codes have a better performance with the increasing length of codes.The performance of the Polar codes in SC is not ideal when the code length is limited.Instead,the Polar codes have better performance in SCL and CA-SCL decoding algorithms.