Reed-Solomon Based Quasi-Cyclic LDPC Codes: Designs, Girth, Cycle Structure, and Reduction of Short Cycles
Reed-Solomon Based Quasi-Cyclic LDPC Codes: Designs, Girth, Cycle Structure, and Reduction of Short Cycles
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DOI：
10.1109/tcomm.2019.2916605
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发表时间：
2019-05
影响因子：
8.3
通讯作者：
Xin Xiao;B. Vasic;Shu Lin;K. Abdel-Ghaffar;W. Ryan
中科院分区：
文献类型：
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作者：
Xin Xiao;B. Vasic;Shu Lin;K. Abdel-Ghaffar;W. Ryan
提出了适用于AWGN信道的准循环(QC)LDPC码的设计和构造方法。这些码是基于传统的里德-所罗门(RS)码的奇偶校验矩阵构造的，并且被称为RS-QC-LDPC码。给出了几类RS-QC-LDPC码。分析了这类码的Tanner图的圈结构性质，给出了构造围长至少为8的码和减少其短圈的具体方法。所设计的码在瀑布和低误码率区域都有很好的性能。
Designs and constructions of quasi-cyclic (QC) LDPC codes for the AWGN channel are presented. The codes are constructed based on the conventional parity-check matrices of Reed–Solomon (RS) codes and are referred to as RS-QC-LDPC codes. Several classes of RS-QC-LDPC codes are given. Cycle structural properties of the Tanner graphs of codes in these classes are analyzed and specific methods for constructing codes with girth at least eight and reducing their short cycles are presented. The designed codes perform well in both waterfall and low error-rate regions.