Coset-based QC-LDPC codes without small cycles  


作者:Wang, JH (Wang, Juhua)[ 1 ] ; Zhang, GH (Zhang, Guohua)[ 1 ] ; Zhou, Q (Zhou, Quan)[ 1 ]  




ELECTRONICS LETTERS



卷: 50

期: 22

页: 1597-1598

DOI: 10.1049/el.2014.2121

出版年: OCT 23 2014

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摘要

A simple and efficient search method based on the coset concept is proposed to construct (3, L) quasi-cyclic low-density parity-check (QC-LDPC) codes without small cycles. Compared with the random search method, the chance to find large-girth codes is remarkably increased for the new method. Compared with Tanner's construction, the proposed method is much more flexible in the selection of row weight L. Some new codes are constructed with the shortest lengths compared with those constructed by the existing well-known methods. Simulation results show that the novel codes with moderate length perform well in the additive white Gaussian noise channel.


关键词

KeyWords PlusARITY-CHECK CODES; LARGE GIRTH; CONSTRUCTION; MATRICES


作者信息

通讯作者地址: Wang, JH (通讯作者)

       China Acad Space Technol Xian, Xian, Peoples R China.


地址:  

       [ 1 ] China Acad Space Technol Xian, Xian, Peoples R China


电子邮件地址:wangjhcast@163.com


基金资助致谢


基金资助机构

授权号

National Natural Science Foundation of China  
61471294

61372175

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出版商

INST ENGINEERING TECHNOLOGY-IET, MICHAEL FARADAY HOUSE SIX HILLS WAY STEVENAGE, HERTFORD SG1 2AY, ENGLAND


类别 / 分类

研究方向:Engineering

Web of Science 类别:Engineering, Electrical & Electronic


文献信息

文献类型:Article

语种:English

入藏号: WOS:000344319700021

ISSN: 0013-5194

eISSN: 1350-911X



期刊信息


Impact Factor (影响因子):  Journal Citation Reports®


  

其他信息

IDS 号: AS5OK

Web of Science 核心合集中的 "引用的参考文献": 11

Web of Science 核心合集中的 "被引频次": 1
         



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2013 年至今: 21


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Zhang, Yi. Construction of girth-eight QC-LDPC codes from arithmetic progression sequence with large column weight . ELECTRONICS LETTERS, AUG 6 2015.



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Add to selected records Accession number:  20152100859536

  Title:  Explicit constructions for type-1 QC-LDPC codes with girth at least ten
  Authors:  Wang, Juhua1 Email author wangjhcast@163.com; Zhang, Guohua1 Email author zhangghcast@163.com; Zhou, Quan1 Email author cn504zq@sohu.com; Yang, Yang2 Email author yy.xidian@gmail.com; Sun, Rong3 Email author rsun@mail.xidian.edu.cn  
  Author affiliation:  1 China Academy of Space Technology (xi'An), Xi'an, China  
   2 School of Information Engineering, Chang'An University, Xi'an, China  
   3 State Key Laboratory of Integrated Service Networks, Xidian University, Xi'an, China  
  Source title:  2014 IEEE Information Theory Workshop, ITW 2014
  Abbreviated source title:  IEEE Inf. Theory Workshop, ITW
  Part number:  1 of 1
  Issue date:  December 1, 2014
  Publication year:  2014
  Pages:  436-440
  Article number:  6970869
  Language:  English
  ISBN-13:  9781479959990  
  Document type:  Conference article (CA)
  Conference name:  2014 IEEE Information Theory Workshop, ITW 2014
  Conference date:  November 2, 2014 - November 5, 2014
  Conference location:  Hobart, TAS, Australia
  Conference code:  109551  
  Sponsor:  IEEE Information Theory Society
  Publisher:  Institute of Electrical and Electronics Engineers Inc.
  Abstract:  From Sidon sequence over Z<inf>P</inf>, two classes of type-1 (J = 3;L) QC-LDPC codes are explicitly proposed with block length L<sup>2</sup>P and with girth at least ten. For the first method, any Sidon sequence over Z<inf>P</inf> (P odd) with cardinality no smaller than L (L odd) corresponds to a class of type-1 (3, L) QC-LDPC codes with girth at least ten. For the second one, any Sidon sequence over Z<inf>P</inf> (P prime) with cardinality no smaller than L (L arbitrary) corresponds to a class of type-1 (3, L) QC-LDPC codes with girth at least ten. Compared with the method from 3-D lattices, which can also generate type-1 QC-LDPC codes with girth at least ten, the main advantage of the new methods is that the construction process is much simpler, and L is not necessarily a prime integer. Simulation results show that the new type-1 QC-LDPC codes outperform the girth-8 QC-LDPC codes constructed by Sidon sequence or the earliest sequence, and perform almost as well as Bocharova's shortest girth-12 QC-LDPC codes. © 2014 IEEE.
  Number of references:  16
  Main heading:  Codes (symbols)  
  Controlled terms:  Convolutional codes - Information theory  
  Uncontrolled terms:  Block lengths - Cardinalities - Construction process - Explicit constructions - QC LDPC codes  
  Classification code:  716.1 Information Theory and Signal Processing - 723.1 Computer Programming - 723.2 Data Processing and Image Processing
  DOI:  10.1109/ITW.2014.6970869
  Database:  Compendex
   Compilation and indexing terms, © 2016 Elsevier Inc.

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