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Spatially Coupled Hybrid Concatenated Codes

Moloudi, Saeedeh LU ; Lentmaier, Michael LU and Graell i Amat, Alexandre (2017)  11th International ITG Conference on Systems, Communications and Coding (SCC 2017) In Proceedings of 11th International ITG Conference on Systems, Communications and Coding (SCC)
Abstract
The main purpose of this paper is to make the study of spatially coupled turbo-like codes (SC-TCs) more complete by investigating the impact of spatial coupling on the thresholds of hybrid concatenated codes (HCCs). In our previous studies, we introduced some classes of SC-TCs and considered their density evolution (DE) analysis. The obtained results indicated that for a fixed coupling memory, braided convolutional codes (BCCs) have the best belief propagation (BP) thresholds among the considered classes. Besides having excellent BP thresholds, BCCs have good distance properties and their minimum distance grows linearly with block length. Similarities between BCCs and HCCs make HCCs good competitors for BCCs. This has motivated us to... (More)
The main purpose of this paper is to make the study of spatially coupled turbo-like codes (SC-TCs) more complete by investigating the impact of spatial coupling on the thresholds of hybrid concatenated codes (HCCs). In our previous studies, we introduced some classes of SC-TCs and considered their density evolution (DE) analysis. The obtained results indicated that for a fixed coupling memory, braided convolutional codes (BCCs) have the best belief propagation (BP) thresholds among the considered classes. Besides having excellent BP thresholds, BCCs have good distance properties and their minimum distance grows linearly with block length. Similarities between BCCs and HCCs make HCCs good competitors for BCCs. This has motivated us to investigate the impact of spatial coupling on HCCs. In this paper, we introduce two spatially coupled ensembles of HCCs, referred to as Type-I SC-HCCs and Type-II SC-HCCs. Then, we derive the exact density evolution (DE) equations for the uncoupled and the coupled ensembles for the binary erasure channel (BEC). Finally, considering different component encoders, we compute the thresholds of the SC-HCC ensembles and compare them with the thresholds of BCCs for a range of different rates. (Less)
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author
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published
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in
Proceedings of 11th International ITG Conference on Systems, Communications and Coding (SCC)
publisher
VDE Verlag gmbh Berlin
conference name
 11th International ITG Conference on Systems, Communications and Coding (SCC 2017)
ISBN
978-3-8007-4362-9
language
English
LU publication?
yes
id
24a818f4-7b9e-4fcf-b930-55a4b51074a5
alternative location
http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7938080
date added to LUP
2017-08-09 10:41:04
date last changed
2017-10-31 14:57:58
@inproceedings{24a818f4-7b9e-4fcf-b930-55a4b51074a5,
  abstract     = {The main purpose of this paper is to make the study of spatially coupled turbo-like codes (SC-TCs) more complete by investigating the impact of spatial coupling on the thresholds of hybrid concatenated codes (HCCs). In our previous studies, we introduced some classes of SC-TCs and considered their density evolution (DE) analysis. The obtained results indicated that for a fixed coupling memory, braided convolutional codes (BCCs) have the best belief propagation (BP) thresholds among the considered classes. Besides having excellent BP thresholds, BCCs have good distance properties and their minimum distance grows linearly with block length. Similarities between BCCs and HCCs make HCCs good competitors for BCCs. This has motivated us to investigate the impact of spatial coupling on HCCs. In this paper, we introduce two spatially coupled ensembles of HCCs, referred to as Type-I SC-HCCs and Type-II SC-HCCs. Then, we derive the exact density evolution (DE) equations for the uncoupled and the coupled ensembles for the binary erasure channel (BEC). Finally, considering different component encoders, we compute the thresholds of the SC-HCC ensembles and compare them with the thresholds of BCCs for a range of different rates.},
  author       = {Moloudi, Saeedeh and Lentmaier, Michael and Graell i Amat, Alexandre},
  booktitle    = {Proceedings of 11th International ITG Conference on Systems, Communications and Coding (SCC)},
  isbn         = {978-3-8007-4362-9},
  language     = {eng},
  publisher    = {VDE Verlag gmbh Berlin},
  title        = {Spatially Coupled Hybrid Concatenated Codes},
  year         = {2017},
}