5G通信中准循环LDPC码的环结构分析  

Cycle structure analysis for quasi-cyclic LDPC codes in 5G communications

作　　者：徐恒舟 李楠 赵可新 魏文静 朱海 Xu Hengzhou;Li Nan;Zhao Kexin;Wei Wenjing;Zhu Hai(School of Network Engineering,Zhoukou Normal University,Zhoukou 466001,China)

机构地区：[1]周口师范学院网络工程学院

出　　处：《电子测量与仪器学报》2019年第7期50-55,共6页Journal of Electronic Measurement and Instrumentation

基　　金：国家自然科学基金(61801527);河南省高等学校重点科研项目(19A510028);大学生科研创新基金(ZKNUD2019027,ZKNUD2019080)资助项目

摘　　要：环结构在低密度校验(LDPC)码的设计中起着非常重要的作用。首先分析了5G通信系统中准循环(QC)LDPC码的环结构存在形式,将准循环LDPC码的置换移位矩阵划分为两部分,并以此将环结构分为3类。基于这3类环结构的分析结论,又提出了一种对角结构QC-LDPC码的构造方法。该方法可以确保所构造的QC-LDPC码围长至少为6,并且适用于具有构造各种对角结构的QC-LDPC码,如单对角结构、双对角结构和它们的混合结构等。仿真结果表明,所构造的QC-LDPC码在加性高斯白噪声(AWGN)信道上有很好的迭代译码性能,这为差错控制应用场景提供了一种有效的LDPC编码方案。Cycle structure plays an important role in the design of LDPC codes.The cycle structure of quasi-cyclic(QC)LDPC codes in 5 G communications is first analyzed.By dividing the exponent matrix of a QC-LDPC code into two parts,three classes of cycles are obtained.Based on the analysis for these classes of cycles,a method for constructing QC-LDPC codes with diagonal structures is proposed.It is ensured that the proposed QC-LDPC codes have girth at least 6.Furthermore,the proposed method can be applied to the construction of QC-LDPC codes with various diagonal structures,such as single diagonal structure,bi-diagonal structure,and their mixed structures.Simulation results show that the constructed QC-LDPC codes have good performance over the AWGN channel under iterative decoding,and this provides a promising LDPC coding scheme for applications requiring error control coding.

关 键 词：低密度校验码 准循环 环结构 围长 5G移动通信 

分 类 号：TN929.5[电子电信—通信与信息系统]