A PEG-like LDPC code design avoiding short Trapping Sets

被引:0
|
作者
Diouf, Madiagne [1 ]
Declercq, David [1 ]
Ouya, Samuel [2 ]
Vasic, Bane [3 ]
机构
[1] Univ Cergy Pontoise, CNRS UMR 8051, ENSEA, ETIS, F-95014 Cergy Pontoise, France
[2] Univ Cheikh Anta DIOP, LIRT, ESP, Dakar, Senegal
[3] Univ Arizona, Dept Elec & Comp Engn, Tucson, AZ 85721 USA
关键词
Trapping sets; Error floor; Progressive Edge-Growth (PEG); Low Density Parity Check (LDPC) codes; Tanner graphs;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, we propose a predictive method to construct regular column-weight-three LDPC codes with girth g - 8 so that their Tanner graphs contain a minimum number of small trapping sets. Our construction is based on improvements of the Progressive Edge-Growth (PEG) algorithm. We first show how to detect the smallest trapping sets (5, 3) and (6, 4) in the computation tree spread from variable nodes during the edge assignment. A precise and rigorous characterization of trapping sets (5, 3) and (6, 4) are given, and we then derive a modification of the Randomized Progressive Edge-Growth (RandPEG) algorithm [1] to take into account a new cost function that allows to build regular column-weight d(v) = 3, girth 8 LDPC codes free of (5,3) and with a minimization of (6,4). We present the construction and the performance results in the context of quasi-cyclic LDPC (QC-LDPC) codes.
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页码:1079 / 1083
页数:5
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