一种奇偶校验码级联极化码的系统化设计方法

A Systematic Design Methodof the Parity-check Code Concatenated Polar Code

极化码作为5G的控制信道编码方案,优异的性能非常关键。但极化码的性能与码长成正相关,当其为中短码长时,性能会显著降低,极化码的级联方案能有效提高极化码在中短码长时的性能。该文深入研究极化码的级联方案,在CRC辅助的奇偶校验码级联极化码(PC-CA-Polar)基础上,提出一种奇偶校验码级联极化码的系统化设计方法,完成奇偶校验码与系统极化码的级联设计。该文从系统极化码的角度出发,扩展了极化码目前的级联方案,提出的设计方法比PC-CA-Polar码性能更优异,误码率更低。在高斯信道下,当码长为128,码率为1/2,误码率为10^(-3)时,该文提出的设计方法比PC-CA-Polar码获得了约0.12 dB的增益,比CRC辅助的系统极化码(CA-SPC)获得了约0.35 dB增益。

As the control channel coding scheme of 5G,polar code is very important for its excellent performance.However,the performance of polar codes is positively correlated with the code length.When the code length is medium or short,the performance will be significantly reduced.The cascade scheme of polar codes can effectively improve the performance of medium and short polar codes.In this paper,the concatenated scheme of polar codesisstudiesdeeply.Based on the CRC-assisted parity-check code concatenated polar code(PC-CA-Polar),a systematic design method of the paritycheck code concatenated polar code is proposed to complete the cascaded design of parity check code and systematic polar code.From the perspective of system polar codes,the current concatenation scheme of polar codes is extended.The proposed design method has better performance and lower bit error rate than PC-CA-Polar codes.Under the Gaussian channel,when the code length is 128,the code rate is 1/2,and the bit error rate is 10^(-3),the proposed design method obtains a gain of about 0.12 dB compared with the PC-CA-Polar code,and a gain of about 0.35 dB compared with the CRC-assisted systematic polar code.