比特级码率兼容多元LDPC码打孔算法  

A Puncturing Algorithm for Bit-wise Rate-compatible Non-binary LDPC Codes

作　　者：周华[1] 钱荷玥 王登天 葛旗伟 ZHOU Hua;QIAN Heyue;WANG Dengtian;GE Qiwei(School of Electronic&Information Engineering,Nanjing University of Information Science and 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,南京210044

出　　处：《电讯技术》2021年第4期434-439,共6页Telecommunication Engineering

基　　金：国家自然科学基金面上项目(61771248)。

摘　　要：多元低密度奇偶校验(Non-binary Low-density Parity-check,NB-LDPC)码在中短码情况下性能优于传统二元LDPC码,更接近香农限。针对多元LDPC码码率兼容(Rate-compatible)的问题,提出了一种基于比特级的新型多元打孔算法。首先采用二进制镜像矩阵概念对多元校验矩阵进行映射处理,再根据变量节点的度分布选择合适的打孔节点,从而实现比特级多元LDPC码码率兼容的打孔方案。仿真结果证明与基于符号级的多元打孔算法相比,所提方案的误码率性能在各个码率分别有0.2~0.4 d B的增益。In the case of medium and short codes,non-binary low-density parity-check(NB-LDPC)codes perform better than traditional binary LDPC codes,and closer to the Shannon limit.In terms of non-binary rate-compatible LDPC(NB-RC-LDPC)codes,a novel bit puncturing algorithm is proposed.The concept of binary mapping is applied to the non-binary parity-check matrix,and a set of bit-wise nodes are punctured according to the degree of variable nodes,resulting in NB-RC-LDPC codes with the higher rate code embedded in the lower one.Simulation results show that gains of 0.2~0.4 dB are obtained in terms of the bit error rate(BER)compared with the symbol-wise performance.

关 键 词：多元LDPC码 码率兼容 打孔算法 二元镜像 

分 类 号：TN911.22[电子电信—通信与信息系统]