| 基于PEG算法的多进制LDPC码的设计与仿真 |
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| 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].重庆邮电学院学报(自然科学版),2006,18(2):175-177. |
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| 作者姓名： | 黎勇 王琳 陈俊斌 |
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| 作者单位： | [1]厦门大学通信工程系,福建厦门361005 [2]重庆邮电学院编码技术研究所,重庆400065 |
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| 基金项目： | 国家自然科学基金项目（60272005）;教育部新世纪优秀人才支持计划（NCET04-0601） |
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| 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因子困编码的四进制LDPC码的性能明显好于随机编码的四进制LDPC码的性能。在相似复杂度下，四进制LDPC码的性能略好于二进制LDPC码，所以，根据PEG原理构造的四进制LDPC码在未来数字通信系统中具有重要的实用价值。
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| 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： | 2006-02-18 |
Design and simulations of LDPC codes on GF(q) based on PEG algorithm |
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| 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(Natural Sciences Edition),2006,18(2):175-177. |
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| Authors: | LI Yong WANG Lin CHEN Jun-bin |
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| 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. |
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| Keywords: | LDPC codes on GF(q) PEG algorithm Gaussian elimination Fourier transform |
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