基于格的低密度奇偶校验码的改进构造

2007 International Symposium on Information Technology Convergence (ISITC 2007) Pub Date : 2007-11-23 DOI:10.1109/ISITC.2007.55

Xiongfei Tao, Jong-man Kim, Weizhong Liu, Li Kong

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引用次数: 5

摘要

本文基于二维格构造了一类周长为10的LDPC码。奇偶校验矩阵是格中线和点的关联矩阵。通过选取斜率集，将格中一般三角形和四边形去除，得到相应代码的周长不小于10。代码是正则的，列权为3。所生成的校验矩阵具有准循环结构，编码在WGN信道上具有良好的误码率性能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Improved Construction of Low-Density Parity-Check Codes Based on Lattices

In this paper we construct a class of LDPC codes with girth 10 based on 2-D lattices. The parity check matrix is an incident matrix of lines and points in the lattices. By selection of slope sets, general triangles and quadrangles are removed in the lattices which leads to the corresponding codes have girth no less than 10. The codes are regular, whose column weight is 3. The generated check matrix have quasi-cyclic structure, and the codes show excellent bit error rate(BER) performance over A WGN channels.

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2007 International Symposium on Information Technology Convergence (ISITC 2007)

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