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An Analysis of the Block Error Probability Performance of Iterative Decoding

Lentmaier, Michael and Truhachev, Dimitri V. and Zigangirov, Kamil Sh. and Costello, Jr., Daniel J. (2005) An Analysis of the Block Error Probability Performance of Iterative Decoding. IEEE Transactions on Information Theory, 51 (11), pp. 3834-3855. doi: 10.1109/TIT.2005.856942.

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Official URL: http://ieeexplore.ieee.org/xpls/abs_all.jsp?isnumber=32567&arnumber=1522644&count=30&index=10

Abstract

Asymptotic iterative decoding performance is analyzed for several classes of iteratively decodable codes when the block length of the codes N and the number of iterations I go to infinity. Three classes of codes are considered. These are Gallager's regular low-density parity-check (LDPC) codes, Tanner's generalized LDPC (GLDPC) codes, and the turbo codes due to Berrou It is proved that there exist codes in these classes and iterative decoding algorithms for these codes for which not only the bit error probability P<sub>b</sub>, but also the block (frame) error probability P<sub> B</sub>, goes to zero as N and I go to infinity.

Item URL in elib:https://elib.dlr.de/19315/
Document Type:Article
Title:An Analysis of the Block Error Probability Performance of Iterative Decoding
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Lentmaier, MichaelUNSPECIFIEDUNSPECIFIED
Truhachev, Dimitri V.University of Alberta, CAUNSPECIFIED
Zigangirov, Kamil Sh.University of Notre Dame, INUNSPECIFIED
Costello, Jr., Daniel J.University of Notre Dame, INUNSPECIFIED
Date:November 2005
Journal or Publication Title:IEEE Transactions on Information Theory
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:Yes
Volume:51
DOI:10.1109/TIT.2005.856942
Page Range:pp. 3834-3855
Status:Published
Keywords:Belief propagation, block error probability, convergence analysis, density evolution, iterative decoding, low-density parity-check (LDPC) codes, turbo codes
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:W KN - Kommunikation/Navigation
DLR - Research area:Space
DLR - Program:W KN - Kommunikation/Navigation
DLR - Research theme (Project):W - Projekt GalileoNAV (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Communication and Navigation > Communications Systems
Deposited By: Lentmaier, Dr. Michael
Deposited On:23 Nov 2005
Last Modified:14 Jan 2010 20:10

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