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基于PEG算法的多进制LDPC码的设计与仿真
引用本文:黎勇,王琳,陈俊斌. 基于PEG算法的多进制LDPC码的设计与仿真[J]. 重庆邮电大学学报(自然科学版), 2006, 18(2): 175-177
作者姓名:黎勇  王琳  陈俊斌
作者单位:1. 厦门大学,通信工程系,福建,厦门,361005
2. 厦门大学,通信工程系,福建,厦门,361005;重庆邮电学院,编码技术研究所,重庆,400065
基金项目:中国科学院资助项目;教育部跨世纪优秀人才培养计划
摘    要:
引入PEG算法来构造多进制LDPC码的校验矩阵H译码时采用傅立叶变换实现了简化译码。仿真结果表明:中短帧情况下,由PEG因子图编码的四进制LDFPC码的性能明显好于随机编码的四进制/0,1码的性能,在相似复杂度下,四进制LDFPC码的性能略好于二进制LDFPC码,所以,根据PEG原理构造的四进制LDFPC码在未来数字通信系统中具有重要的实用价值。

关 键 词:多进制LDPC码  PEG算法  高斯消去  傅立叶变换
文章编号:1004-5694(2006)02-0175-03
收稿时间:2005-10-11
修稿时间:2005-10-11

Design and simulations of LDPC codes on GF(q) based on PEG algorithm
LI Yong,WANG Lin,CHEN Jun-bin. Design and simulations of LDPC codes on GF(q) based on PEG algorithm[J]. Journal of Chongqing University of Posts and Telecommunications, 2006, 18(2): 175-177
Authors:LI Yong  WANG Lin  CHEN Jun-bin
Affiliation:Dept.of Communication Engineering, Xiamen University, Xiamen 361005,P.R.China
Abstract:
In this paper, the PEG (Progressive Edge Growth) algorithm is introduced into the design of checkout matrix of LDPC codes and the Fourier transform (FT) decoding algorithm is also used. Simulation results show that the performance of LDPC codes on GF(4), based on PEG Tanner graphs, is apparently better than that based on random graphs at the short and medium block lengths. And LDPC codes on GF(4) outperform that on GF(2) slightly with analogous complexity. Obviously based on PEG principle, LDPC codes on GF(4) are of greater practical value in future digital communication systems.
Keywords:LDPC codes on GF(q)  PEG algorithm   Gaussian elimination   Fourier transform
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