利用ACE值构造QC-LDPC码  

Construction of QC-LDPC Codes with ACE Value

作　　者：王欣婷 潘克刚 赵瑞祥 WANG Xinting;PAN Kegang;ZHAO Ruixiang(College of Communication Engineering,Army Engineering University of PLA,Nanjing 210007,China)

机构地区：[1]陆军工程大学通信工程学院,南京210007

出　　处：《电讯技术》2020年第11期1348-1353,共6页Telecommunication Engineering

基　　金：国家自然科学基金资助项目(61671476)。

摘　　要：为进一步提升中短码长下准循环低密度奇偶校验(Quasi-cyclic Low-density Parity-check,QC-LDPC)码的纠错性能,提出了一种综合短环数目和环连通性的QC-LDPC码构造方法。首先,采用Golomb规则构造QC-LDPC码,对基矩阵中的部分元素进行替换预处理,初步降低短环数目;其次,采用所提的利用近似环外信息度(Approximate Cycle Extrinsic message degree,ACE)的消环掩模算法来优化QC-LDPC码,使得掩模后的校验矩阵具有较大的ACE平均值,最终完成QC-LDPC码的构造。该构造方法简单、通用性强,在短环数目和连通性间进行了平衡。与只考虑减少短环数目、增大围长等方法相比,该方法构造的QC-LDPC码有更加优异的纠错性能。To further improve the performance of quasi-cyclic low-density parity-check(QC-LDPC)codes with short and medium lengths,a simple and versatile method is proposed to construct QC-LDPC codes by jointly optimizing the number and the connectivity of cycles.First,a replacement preprocessing algorithm is presented to effectively eliminate short cycles in QC-LDPC codes constructed by Golomb rule.Then,the masked matrix of irregular QC-LDPC code with a large approximate cycle extrinsic message degree(ACE)average is constructed by using the masking algorithm with ACE.Finally,a class of QC-LDPC codes can be constructed by such simple and universal method.Compared with other codes that only consider one certain index,the constructed QC-LDPC codes have excellent error correction performance.

关 键 词：准循环低密度奇偶校验码 码字构造 掩模算法 近似环外信息度 

分 类 号：TN911[电子电信—通信与信息系统]