A Low Complexity Hard-Reliability Decoding for Non-Binary LDPC Codes

GAO Tao; MA Xiu-rong; YANG Sheng-han; SI Yu-xin

doi:10.13756/j.gtxyj.2019.04.013

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A Low Complexity Hard-Reliability Decoding for Non-Binary LDPC Codes

- A Low Complexity Hard-Reliability Decoding for Non-Binary LDPC Codes
- Study on Optical communication Issue 4, Pages: 66-70(2019)
- 作者机构：
  
  天津理工大学电气电子工程学院
- 作者简介：
- 基金信息：
- DOI：10.13756/j.gtxyj.2019.04.013
  CLC： TN929.5;TN911.22
- Published：2019，
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[1]高涛,马秀荣,杨胜寒,司雨鑫.一种低复杂度NB-LDPC码硬可靠度译码[J].光通信研究,2019(04):66-70.

GAO Tao, MA Xiu-rong, YANG Sheng-han, et al. A Low Complexity Hard-Reliability Decoding for Non-Binary LDPC Codes. [J]. (4):66-70(2019)
[1]高涛,马秀荣,杨胜寒,司雨鑫.一种低复杂度NB-LDPC码硬可靠度译码[J].光通信研究,2019(04):66-70. DOI： 10.13756/j.gtxyj.2019.04.013.

GAO Tao, MA Xiu-rong, YANG Sheng-han, et al. A Low Complexity Hard-Reliability Decoding for Non-Binary LDPC Codes. [J]. (4):66-70(2019) DOI： 10.13756/j.gtxyj.2019.04.013.

摘要

针对改进迭代硬可靠度（IHRB）大数逻辑译码复杂度高等问题

提出了一种改进迭代硬性可靠性的低复杂度非二进制低密度奇偶校验（NB-LDPC）码的大数逻辑译码算法。在初始化时

对来自信道的接收信息进行可靠度区分;在迭代处理时

使用可靠性大的符号来计算解码算法中其他符号的硬可靠性

同时使用校验方程校验出最可靠的符号

最可靠的符号无需更新

以此降低译码复杂度。仿真结果表明

与NB-LDPC大数逻辑译码算法相比

所提算法在纠错性能和译码迭代复杂度之间提供了有效的折中。对于维度为64的伽罗华域上的NB-LDPC码

与IHRB译码算法相比

其迭代复杂度降低了约51%。

Abstract

This paper presents a novel method to improve the Iterative Hard-Reliability（IHRB） based majority-logic decoding algorithm for Non-Binary Low-Density Parity-Check（NB-LDPC） codes. The method uses the most reliable symbols to calculate hard-reliability of other symbols in the decoding algorithm

which will not calculate the hard-reliability of poor reliable symbols and most reliable symbols. The proposed algorithm can provide effective trade-off between error performance and decoding iterative complexity compared to the non-binary majority-logic algorithm. For an NB-LDPC code over Galois field of 64 elements

the iterative complexity is reduced by about 51% compared with that of the conventional decoding algorithm.

关键词

非二进制低密度奇偶校验码大数逻辑译码截断硬可靠度

Keywords

NB-LDPC codesmajority-logic decodingtruncatedhard-reliability

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