Recent Results on Capacity-Achieving Codes for the Erasure Channel with Bounded Complexity

I. Sason, H. Pfister
{"title":"Recent Results on Capacity-Achieving Codes for the Erasure Channel with Bounded Complexity","authors":"I. Sason, H. Pfister","doi":"10.1109/EEEI.2006.321096","DOIUrl":null,"url":null,"abstract":"The paper introduces ensembles of accumulate-repeat-accumulate (ARA) codes which asymptotically achieve capacity on the binary erasure channel (BEC) with bounded complexity (per information bit). It also introduces symmetry properties which play a central role in the construction of various capacity-achieving ensembles for the BEC. The results improve on the tradeoff between performance and complexity provided by the first capacity-achieving ensembles of irregular repeat-accumulate (IRA) codes with bounded complexity (constructed by Pfister, Sason and Urbanke). The superiority of ARA codes with moderate to large block lengths is exemplified by computer simulations comparing their performance with those of previously reported capacity-achieving ensembles of LDPC and IRA codes. ARA codes also have the advantage of being systematic.","PeriodicalId":142814,"journal":{"name":"2006 IEEE 24th Convention of Electrical & Electronics Engineers in Israel","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 IEEE 24th Convention of Electrical & Electronics Engineers in Israel","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/EEEI.2006.321096","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1

Abstract

The paper introduces ensembles of accumulate-repeat-accumulate (ARA) codes which asymptotically achieve capacity on the binary erasure channel (BEC) with bounded complexity (per information bit). It also introduces symmetry properties which play a central role in the construction of various capacity-achieving ensembles for the BEC. The results improve on the tradeoff between performance and complexity provided by the first capacity-achieving ensembles of irregular repeat-accumulate (IRA) codes with bounded complexity (constructed by Pfister, Sason and Urbanke). The superiority of ARA codes with moderate to large block lengths is exemplified by computer simulations comparing their performance with those of previously reported capacity-achieving ensembles of LDPC and IRA codes. ARA codes also have the advantage of being systematic.
具有有界复杂度的Erasure信道的容量实现码研究进展
本文介绍了在有限复杂度(每信息位)的二进制擦除信道(BEC)上渐近实现容量的累加-重复-累加(ARA)码集成。它还介绍了对称性质,它在构建BEC的各种容量实现集成中起着核心作用。该结果改善了由具有有限复杂性的不规则重复累积(IRA)代码(由Pfister, Sason和Urbanke构建)的第一个容量实现集成提供的性能和复杂性之间的权衡。通过计算机模拟,将ARA码的性能与先前报道的LDPC和IRA码的容量实现集成进行了比较,证明了ARA码具有中等到大块长度的优越性。ARA编码还具有系统化的优点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信