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应用科学学报 >

2013 , Vol. 31 >Issue 6: 559 - 563

DOI: https://doi.org/10.3969/j.issn.0255-8297.2013.06.002

通信工程

一种短小的高码率LDPC 码设计

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  • 厦门大学通信工程系，福建厦门361005
巫光福，博士生，研究方向：通信系统信道纠错编码，E-mail: wuguangfu@126.com；王琳，教授，博导，研究方向：通信物理层算法的设计分析与实现，E-mail: wangling@xum.edu.cn

收稿日期: 2012-06-05

  修回日期: 2012-09-01

  网络出版日期: 2012-09-01

基金资助

国家自然科学基金(No.60972053)资助

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Construction of High Rate LDPC Codes with Short Block Length

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  • Department of Communication Engineering, Xiamen University, Xiamen 361005, Fujian Province, China

Received date: 2012-06-05

  Revised date: 2012-09-01

  Online published: 2012-09-01

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摘要

提出一种高码率系统—–LDPC 码的构造方法. 在列重量一定的情况(通常列重量Wc >3) 下，构造满足给定围长条件的子矩阵，然后将该子矩阵和单位阵合并成LDPC 码的校验矩阵. 构造了28×76 和64×328 的校验矩阵. 仿真表明，这两个LDPC 码与校验矩阵为42×105、170×425、66×330 的LDPC 码在AWGN 信道下的
性能相比具有更好的BER. 同时还基于拟阵理论给出了Tanner 图的围长的充分条件，可用来构造给定的短围长LDPC 码. 短的高码率LDPC 码可用于未来的手持数字视频广播.

本文引用格式

巫光福， 王琳 . 一种短小的高码率LDPC 码设计[J]. 应用科学学报, 2013 , 31(6) : 559 -563 . DOI: 10.3969/j.issn.0255-8297.2013.06.002

Abstract

A method of constructing low-density parity-check (LDPC) codes is presented, where an identity matrix is combined with another sub-matrix constructed under the condition of a given girth and fixed weight of column to generate a parity check matrix. Let Wc denote the fixed weight of column, which is usually not
less than 3. Two kinds of check matrices sized 28×76 and 64×328 are constructed. Simulation results over additive white Gaussian noise (AWGN) channels show that performance of the codes is better than that of check matrices sized 42×105, 170×425 and 66×330. Meanwhile, sufficient conditions for the girth of Tanner graph based on Matroid theory are present. The girth conditions can be used to construct LDPC codes with given short girths. High-rate LDPC codes with short block length can be applied to the future digital video broadcast-handsets.

Key words：  high rate; bit error rate; coding gain; low-density parity-check codes with short block length; girth condition

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