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Spatially coupled turbo-like codes : A new trade-off between waterfall and error floor

Moloudi, Saeedeh LU ; Lentmaier, Michael LU and Graell I Amat, Alexandre (2019) In IEEE Transactions on Communications 67(5). p.3114-3123
Abstract

Spatially coupled turbo-like codes (SC-TCs) have been shown to have excellent decoding thresholds due to the threshold saturation effect. Furthermore, even for moderate block lengths, the simulation results demonstrate a very good bit error rate performance in the waterfall region. In this paper, we discuss the effect of spatial coupling on the performance of TCs in the finite block-length regime. We investigate the effect of coupling on the error floor performance of SC-TCs by establishing conditions under which the spatial coupling either preserves or improves the minimum distance of TCs. This allows us to investigate the error floor performance of SC-TCs by performing a weight enumerator function analysis of the corresponding... (More)

Spatially coupled turbo-like codes (SC-TCs) have been shown to have excellent decoding thresholds due to the threshold saturation effect. Furthermore, even for moderate block lengths, the simulation results demonstrate a very good bit error rate performance in the waterfall region. In this paper, we discuss the effect of spatial coupling on the performance of TCs in the finite block-length regime. We investigate the effect of coupling on the error floor performance of SC-TCs by establishing conditions under which the spatial coupling either preserves or improves the minimum distance of TCs. This allows us to investigate the error floor performance of SC-TCs by performing a weight enumerator function analysis of the corresponding uncoupled ensembles. Our results demonstrate that the spatial coupling changes the design trade-off between the waterfall and error floor performance. Instead of optimizing the belief propagation (BP) threshold of uncoupled TCs, which in turn leads to a higher error floor, we can take advantage of the threshold saturation property of the SC-TCs. Choosing strong ensembles, characterized by good maximum-A-posteriori (MAP) thresholds and low error floors, the corresponding SC-TCs are then able to simultaneously approach capacity and achieve very low error floor.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Bound on minimum distance, expurgated bounds, spatially coupled turbo-like codes, union bound, weight enumerator analysis
in
IEEE Transactions on Communications
volume
67
issue
5
pages
10 pages
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85065860244
ISSN
0090-6778
DOI
10.1109/TCOMM.2019.2896584
language
English
LU publication?
yes
id
5881f2f7-fa3b-457c-b10c-490915e64c7f
date added to LUP
2019-06-12 08:49:27
date last changed
2019-06-12 08:49:27
@article{5881f2f7-fa3b-457c-b10c-490915e64c7f,
  abstract     = {<p>Spatially coupled turbo-like codes (SC-TCs) have been shown to have excellent decoding thresholds due to the threshold saturation effect. Furthermore, even for moderate block lengths, the simulation results demonstrate a very good bit error rate performance in the waterfall region. In this paper, we discuss the effect of spatial coupling on the performance of TCs in the finite block-length regime. We investigate the effect of coupling on the error floor performance of SC-TCs by establishing conditions under which the spatial coupling either preserves or improves the minimum distance of TCs. This allows us to investigate the error floor performance of SC-TCs by performing a weight enumerator function analysis of the corresponding uncoupled ensembles. Our results demonstrate that the spatial coupling changes the design trade-off between the waterfall and error floor performance. Instead of optimizing the belief propagation (BP) threshold of uncoupled TCs, which in turn leads to a higher error floor, we can take advantage of the threshold saturation property of the SC-TCs. Choosing strong ensembles, characterized by good maximum-A-posteriori (MAP) thresholds and low error floors, the corresponding SC-TCs are then able to simultaneously approach capacity and achieve very low error floor.</p>},
  articleno    = {8631116},
  author       = {Moloudi, Saeedeh and Lentmaier, Michael and Graell I Amat, Alexandre},
  issn         = {0090-6778},
  keyword      = {Bound on minimum distance,expurgated bounds,spatially coupled turbo-like codes,union bound,weight enumerator analysis},
  language     = {eng},
  number       = {5},
  pages        = {3114--3123},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Transactions on Communications},
  title        = {Spatially coupled turbo-like codes : A new trade-off between waterfall and error floor},
  url          = {http://dx.doi.org/10.1109/TCOMM.2019.2896584},
  volume       = {67},
  year         = {2019},
}