摘要
低密度格码(low density lattice codes,LDLC)是一种崭新的信道编码技术,与LDPC(lowdensity parity check)的译码类似,校验矩阵H都是稀疏的,都通过迭代的消息传递过程来实现其译码,但不同的是:LDPC传递的信息是标量值,而LDLC的信息是(-∞,∞)上的概率密度函数(PDF)。当存在高维n的H,且噪声方差σ2ndet(H)2/2πe时,LDLC可以以任意小的误差传输,det(H)=1。给出低密度格码的基本原理,并对其编译码算法的实现做详细介绍,最后通过仿真给出其在AWGN信道下的性能。
Low density lattice codes(LDLC) are novel channel coding techniques,with similar to LDPC decoding,the check matrix H is sparse and achieving its decoding through passing iterative message;but the difference is that in LDPC codes the messages are scalar values,where for LDLC the messages are probability density function(PDF)over the interval(-∞,∞).If and only if there exists a high dimension n of H and σ2ndet(H)2/2πe,LDLC enables transmission with arbitrary small error probability,where σ2is noise variance and det(H)=1.In this paper,the basic principles of LDLC are presented,with special emphasis on its encoding and decoding algorithms.Also given are their performance simulation results under AWGN channel.
出处
《重庆邮电大学学报(自然科学版)》
北大核心
2011年第2期167-171,共5页
Journal of Chongqing University of Posts and Telecommunications(Natural Science Edition)
基金
信号与信息处理重庆市市级重点实验室建设项目(CSTC
2009CA2003)
重庆市科委自然科学基金(CSTC
2008BB2087)
重庆市教委自然科学基金(KJ080502)~~
关键词
低密度格码
迭代译码
消息传递算法
low density lattice codes(LDLC)
iterative decoding
message passing algorithm