基于Golomb Ruler的QC-LDPC码构造方法  

Construction Method of QC-LDPC Codes Based on Golomb Ruler

作　　者：袁建国[1] 刘雯漪 宋万闯 伏博文 YUAN Jianguo;LIU Wenyi;SONG Wanchuang;FU Bowen(School of Optoelectronic Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,CHN)

机构地区：[1]重庆邮电大学光电工程学院,重庆400065

出　　处：《半导体光电》2024年第4期675-680,共6页Semiconductor Optoelectronics

基　　金：国家自然科学基金项目(U21A20447,61971079)。

摘　　要：针对准循环低密度奇偶校验(QC-LDPC)码中短环结构会影响其纠错性能的问题,基于Golomb Ruler提出了一种新颖的围长为8的QC-LDPC码构造方法。该方法先根据码长码率的需求,从Golomb Ruler中选择部分元素构造一个集合,结合指数矩阵中元素所在位置的四六环特性,通过搜索算法,依次找出符合无四六环条件的元素得到另一个集合,然后构造相应的指数矩阵,最后得到其奇偶校验矩阵。仿真结果表明:在误码率为10^(-6)时,所构造的GR-QC-LDPC码与同码率码长的其他4种QC-LDPC码的码型相比,其净编码增益均有一定的提高,且无明显错误平层现象。A novel construction method with grith-8 quasi-cyclic low-density parity-check(QC-LDPC)codes based on the Golomb ruler is proposed to solve the issue of short-cycle structures affecting error-correction performance.First,a set is constructed by selecting some elements from the Golomb ruler based on the code-length and code-rate requirements.Subsequently,by combining the girth-4 and girth-6 properties of the elemental locations in the exponential matrix,another set is obtained using the search algorithm to search for elements that satisfy the conditions of no girth-4 and no girth-6.Subsequently,the corresponding exponential matrix is constructed.Finally,a parity-check matrix is obtained.Simulation results show that the net coding gain of the GR-QC-LDPC code constructed using the proposed method is greater than those yielded by four other QC-LDPC codes with the same code-rate and code-length at a bit error rate of 10^(-6);moreover,its error floor is insignificant.

关 键 词：准循环低密度奇偶校验码 Golomb Ruler 围长约束 净编码增益 

分 类 号：TN919[电子电信—通信与信息系统]