基于双序列反序的(4,L)规则girth-8 QC-LDPC短码  

(4,L)Regular Girth-8 QC-LDPC Short Codes Based on Reversal of Dual Sequences

作　　者：张国华 佘佳钰 周渊 ZHANG Guohua;SHE Jiayu;ZHOU Yuan(Xi'an University of Posts and Telecommunications,Xi'an 710121,China;Northwestern Polytechnical University,Xi'an 710129,China;Xi'an Institute of Space Radio Technology,Xi'an 710000,China)

机构地区：[1]西安邮电大学,陕西西安710121 [2]西北工业大学,陕西西安710129 [3]西安空间无线电技术研究所,陕西西安710000

出　　处：《移动通信》2024年第5期27-31,共5页Mobile Communications

基　　金：国家自然科学基金委员会(面上项目)“基于空间耦合码的比特交织编码调制迭代检测系统研究”(62071131)。

摘　　要：围长较大的短码长准循环(QC)低密度奇偶校验(LDPC)码的显式构造对于QC-LDPC短码的理论研究与工程应用具有重要意义。首先提出一种基于成对策略的贪婪搜索算法,并根据此算法在列重J为4时的经验结果,归纳总结出一种具有双序列反序特征的指数矩阵。随后证明了该指数矩阵对于任意行重L均对应于围长为8的QC-LDPC码。与现有的典型显式构造方法即最大公约数(GCD)方法相比,新QC-LDPC码提供的码长显著降低。最后,将指数矩阵的拆分拼接和掩膜处理技巧与新QC-LDPC码结合起来,设计出了译码性能在高信噪比区超过5G NR LDPC码的合成码。The explicit construction of short-length quasi-cyclic(QC)low-density parity-check(LDPC)codes with larger girth is of critical importance for both theoretical research and practical applications in QC-LDPC codes.Initially,a greedy search algorithm based on a pairing strategy is introduced,and empirical results at column weight J equal to 4 guides the formulation of an exponent matrix characterized by dual-sequence reordering.Subsequent analysis demonstrates that this exponent matrix corresponds to QC-LDPC codes with a girth of 8 for any row weight L.Compared to existing explicit construction methods,specifically the greatest-common-divisor method,the proposed QC-LDPC codes significantly reduce the code length.Finally,techniques involving the segmentation and concatenation of the exponent matrix,combined with masking procedures,are employed to design composite codes.These codes exhibit decoding performance surpassing 5G NR LDPC codes in high signal-to-noise ratio regions.

关 键 词：低密度奇偶校验码 准循环 环路 反序 5G NR 

分 类 号：TN929.5[电子电信—通信与信息系统]