基于循环冗余校验的极化码研究  

Research on polar codes with cyclic redundancy check

作　　者：彭文凯 周华[1,2,3] PENG Wenkai;ZHOU Hua(School of Electronics and Information Engineering,Nanjing University of Information Science and Technology,Nanjing 210044,China;Jiangsu Key Laboratory of Meteorological Observation and Information Processing,Nanjing 210044,China;Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology,Nanjing 210044,China)

机构地区：[1]南京信息工程大学电子与信息工程学院,江苏南京210044 [2]江苏省气象探测与信息处理重点实验室,江苏南京210044 [3]江苏省大气环境与装备技术协同创新中心,江苏南京210044

出　　处：《现代电子技术》2019年第6期137-141,共5页Modern Electronics Technique

基　　金：国家自然科学基金(61401216);江苏高校优势学科Ⅱ期建设工程资助项目~~

摘　　要：极化码具有简单明确的编码方式和译码算法,在理论上被证明可以达到香农极限。但是其连续删除译码(SC译码)始终在单路径上逐比特进行译码,导致其实际译码性能并不理想。连续删除列表译码(SCL译码)是SC译码的改进型算法,这种译码方式以付出一定译码复杂度为代价提高了极化码的译码性能。而将SCL译码结合循环冗余校验(CRC)可以译码多路径中错误译码的概率,基于这一点该文将对不同CRC码结合极化码所产生的性能差异进行分析。The polar code which has a simple and definite encoding mode and decoding algorithm is proved that it can reach the Shannon limit theoretically,but its successive cancellation decoding(SCD)performs decoding along the single path bit by bit,leading to unsatisfactory practical decoding performance.The successive cancellation list decoding(SCLD)is a modified algorithm of the SCD,which improves the decoding performance of the polar code at the cost of increasing the decoding complexity.The combination of SCLD and the cyclic redundancy check(CRC)can further reduce the probability of decoding errors in the multiple paths of the SCLD without increase of the decoding complexity.Based on this,the performance difference generated by different combinations of CRC codes with polar codes is analyzed in this paper,so as to obtain appropriate combinations of CRC codes with polar codes.

关 键 词：极化码 连续删除译码 连续删除列表译码 循环冗余校验码 译码算法 译码性能 

分 类 号：TN820.11-34[电子电信—信息与通信工程]