Asymptotic analysis of LDPC codes with depth-2 connectivity distributions over BEC

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Abstract

This paper deals with the randomness of depth-2 connectivity of LDPC ensembles. We study how the randomness of LDPC graphs affect asymptotic performance over binary erasure channel (BEC). First, a new attribute, degree-spectrum distribution, is defined to specify the connectivity of more detailed ensembles than those defined by degree distribution. With this, specified ensembles become subsets of conventional ensemble, and we develop a new density evolution method. Some extreme cases of specified ensembles are given, and we prove that the random specified ensemble is better than other regularized types.

Original languageEnglish
Title of host publication2013 IEEE International Symposium on Information Theory, ISIT 2013
Pages1690-1694
Number of pages5
DOIs
StatePublished - 2013
Event2013 IEEE International Symposium on Information Theory, ISIT 2013 - Istanbul, Turkey
Duration: 7 Jul 201312 Jul 2013

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8095

Conference

Conference2013 IEEE International Symposium on Information Theory, ISIT 2013
Country/TerritoryTurkey
CityIstanbul
Period7/07/1312/07/13

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