类Raptor多速率QC-LDPC码的一种优化方法  

Optimization method for Raptor-like multi-rate QC-LDPC codes

作　　者：李华安 王汶振 徐恒舟 陈超[2] 白宝明[2] LI Hua’an;WANG Wenzhen;XU Hengzhou;CHEN Chao;BAI Baoming(College of Physics and Telecommunication Engineering,Zhoukou Normal University,Zhoukou 466001,China;State Key Laboratory of Integrated Service Networks,Xidian University,Xi’an 710071,China;School of Computer,Henan University of Engineering,Zhengzhou 450000,China)

机构地区：[1]周口师范学院物理与电信工程学院,河南周口466001 [2]西安电子科技大学空天地一体化综合业务网全国重点实验室,陕西西安710071 [3]河南工程学院计算机学院,河南郑州451191

出　　处：《西安电子科技大学学报》2024年第6期52-59,共8页Journal of Xidian University

基　　金：国家重点研发计划项目(2021YFA1000500);国家自然科学基金(62171356,62172457);河南省重点研发与推广专项(科技攻关)(232102211069,232102320066);河南省高等学校重点科研项目(23A430043)。

摘　　要：面向未来通信网络优化设计低密度校验(LDPC)码以满足高性能需求可界定为低描述复杂度码设计的范畴,如码长固定的多速率LDPC(MR-LDPC)码。由于融合了5G标准LDPC码和MR-LDPC码的结构特性,类Raptor(Raptor-like)多速率准循环LDPC(RL-MR-QC-LDPC)码可为未来地面网络与其他对MR码有需求的通信系统的编码融合提供可行方案。因为构造方法结合了代数理论,代数RL-MR-QC-LDPC码的设计复杂度和存储复杂度低,但因其矩阵结构性太强,性能改善不明显。因此,通过结合拆分与组合思想,提出了RL-MR-QC-LDPC码的一种优化方法。数值仿真结果表明,与原代数RL-MR-QC-LDPC码相比,所优化的码具有较好的整体性能。所提出的优化方法既可以直接用于优化RL-MR-QC-LDPC码,也可以作为改进代数RL-MR-QC-LDPC码性能的后处理方法。这将有助于推动未来地面网络与近地卫星等通信系统的编码融合研究。Design optimization of high-performance low-density parity-check(LDPC)codes for the future communication network can reduce to the design category of LDPC codes with a lower description complexity,such as multi-rate LDPC(MR-LDPC)codes with constant codeword length.By combining the structural property of both 5G LDPC codes and MR codes,Raptor-like multi-rate quasi-cyclic LDPC(RL-MR-QC-LDPC)codes provide a promising scheme for the coding method fusion design of the future ground network and other communication systems.Since the construction involves algebraic theory,the design/storage complexity of algebraic RL-MR-QC-LDPC codes is very low,but since the algebraically constructed matrix is too structured,the performance improvement is not obvious.Therefore,this paper presents an optimization method for the RL-MR-QC-LDPC codes by using what is called the splitting-combining strategy.Numerical results show that in comparison to the original codes,the optimized codes can obtain a better overall performance.The proposed method can be used directly to optimize the RL-MR-QC-LDPC codes and can also be a post-processing method to improve the algebraic RL-MR-QC-LDPC codes so that it can help derive the coding method fusion design of the future ground network and other communication systems.

关 键 词：低密度校验码 类Raptor 多速率 准循环 优化 

分 类 号：TN911.22[电子电信—通信与信息系统]