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An analysis of the block error probability performance of iterative decoding

Lentmaier, Michael LU ; Truhachev, Dmitri; Zigangirov, Kamil LU and Costello Jr., Daniel J. (2005) In IEEE Transactions on Information Theory 51(11). p.3834-3855
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 et al. 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 Pb, but also the block (frame) error probability PB, goes to zero as N and I go to infinity.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
block error probability, LDPC codes, generalized LDPC codes, GLDPC codes, turbo codes, iterative decoding
in
IEEE Transactions on Information Theory
volume
51
issue
11
pages
3834 - 3855
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • Scopus:27744494227
ISSN
0018-9448
DOI
10.1109/TIT.2005.856942
language
English
LU publication?
yes
id
7646d479-6995-4a97-b582-fcb62dfe5154 (old id 3731693)
date added to LUP
2013-05-02 09:51:58
date last changed
2017-01-01 07:46:34
@article{7646d479-6995-4a97-b582-fcb62dfe5154,
  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 et al. 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 Pb, but also the block (frame) error probability PB, goes to zero as N and I go to infinity.},
  author       = {Lentmaier, Michael and Truhachev, Dmitri and Zigangirov, Kamil and Costello Jr., Daniel J.},
  issn         = {0018-9448},
  keyword      = {block error probability,LDPC codes,generalized LDPC codes,GLDPC codes,turbo codes,iterative decoding},
  language     = {eng},
  number       = {11},
  pages        = {3834--3855},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Transactions on Information Theory},
  title        = {An analysis of the block error probability performance of iterative decoding},
  url          = {http://dx.doi.org/10.1109/TIT.2005.856942},
  volume       = {51},
  year         = {2005},
}