Construction of Structure LDPC Codes with Full Rank Based on Multi-Permutation Matrix

CHEN Zhi-xiong; YUAN Jin-sha

doi:10.3969/j.issn.0372-2112.2012.02.017

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Construction of Structure LDPC Codes with Full Rank Based on Multi-Permutation Matrix

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- Construction of Structure LDPC Codes with Full Rank Based on Multi-Permutation Matrix
- Acta Electronica Sinica Vol. 40, Issue 2, Pages: 313-318(2012)
- 作者机构：
  
  华北电力大学电气与电子工程学院,河北,保定,071003
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0372-2112.2012.02.017
  CLC： TN919
- Published：2012
- 稿件说明：
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CHEN Zhi-xiong, YUAN Jin-sha. Construction of Structure LDPC Codes with Full Rank Based on Multi-Permutation Matrix[J]. Acta Electronica Sinica, 2012, 40(2): 313-318.
DOI：

CHEN Zhi-xiong, YUAN Jin-sha. Construction of Structure LDPC Codes with Full Rank Based on Multi-Permutation Matrix[J]. Acta Electronica Sinica, 2012, 40(2): 313-318. DOI： 10.3969/j.issn.0372-2112.2012.02.017.

摘要

在多重置换阵的基础上

提出一种适用基于网络编码的协作中继策略的结构化LDPC码构造方法.首先定义了多重置换阵的概念

提出并证明了该方阵在秩和消元等方面的重要性质;给出具体的构造步骤

构造了列重为3和围长至少为6的满秩LDPC码;分析了该LDPC码的生成矩阵

具有稀疏和结构化的特点

适用基于网络编码的协作中继系统中进行联合网络编码和迭代译码.仿真结果表明

在相同码长、2/3码率和准循环矩阵 Y 结构条件下

相比阵列LDPC码、近似双对角形式的LDPC码和三对角形式的LDPC码

新构造的LDPC码具有相对较好的译码性能.

Abstract

Based on multi-permutation matrix

a constructing method for structure LDPC codes suitable for cooperative relaying joint with network coding is proposed.Multi-permutation is defined firstly

and then some important characteristic is summarized and proved.Detail process to construct full rank LDPC codes with column-weight-3 and girth-6 is given.It is analyzed that the generation matrix of proposed LDPC codes with structure and spare feature is suitable for joint encoding and iterative decoding in cooperative relaying with network coding.Compared to array LDPC codes

LDPC codes with dual diagonal and triple diagonal structure

which are the same 2/3 code rate

code length and quasi-cyclic matrix Y structure

simulation results show favorable decoding performance of LDPC codes proposed in the paper.

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