Spatially coupled turbo-like codes : A new trade-off between waterfall and error floor
(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
- Moloudi, Saeedeh LU ; Lentmaier, Michael LU and Graell I Amat, Alexandre
- organization
- publishing date
- 2019
- 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
- article number
- 8631116
- 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
- 2022-05-11 18:20:09
@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>}}, author = {{Moloudi, Saeedeh and Lentmaier, Michael and Graell I Amat, Alexandre}}, issn = {{0090-6778}}, keywords = {{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}}, doi = {{10.1109/TCOMM.2019.2896584}}, volume = {{67}}, year = {{2019}}, }