摘要
低密度校验码(Low Density Parity Check Codes,LDPCcodes)是当前编码理论领域研究最热的信道编码之一。本文首先对信道编码研究历程作了简单回顾,然后介绍了LDPC码的发展历程并全面介绍了其相关理论。对LDPC码的和积译码算法(Sum-Product Algorithm,SPA)或置信传播算法(Belief Propagation Algorithm,BPA)、基于二分图的随机构造与代数构造、密度进化理论、高斯近似以及EXIT表分析等相关技术理论的发展和原理进行了详尽的阐述。同时本文还给出近年来LDPC码最新研究成果并给出一些开放性的研究课题。
Low Density Parity Check (LDPC) codes is one of the high topics of the channel coding theory and has been paid more and more attention. This paper begins with a brief review of channel coding theories. Then the iterative decoding algorithm of LDPC codes, so-called as Sum-Product algorithm or Belief Propagation algorithm, is represented in detail. And the construction of LDPC codes by means of random bipartite graph and algebraic constructions, and the performance analysis by Density Evolution theory, Gaussian Approximation method and Extrinsic Information Transfer (EXIT) charts etc., are respectively discussed. Finally, the latest study results of LDPC codes are presented and some open questions about LDPC codes are provided.
出处
《电路与系统学报》
CSCD
北大核心
2008年第2期95-103,78,共10页
Journal of Circuits and Systems
基金
国家自然基金项目(60772067)