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Threshold Computation for Spatially Coupled Turbo-Like Codes on the AWGN Channel

Farooq, Muhammad Umar LU ; Amat, Alexandre Graell I and Lentmaier, Michael LU (2021) In Entropy 23(2).
Abstract
In this paper, we perform a belief propagation (BP) decoding threshold analysis of spatially coupled (SC) turbo-like codes (TCs) (SC-TCs) on the additive white Gaussian noise (AWGN) channel. We review Monte-Carlo density evolution (MC-DE) and efficient prediction methods, which determine the BP thresholds of SC-TCs over the AWGN channel. We demonstrate that instead of performing time-consuming MC-DE computations, the BP threshold of SC-TCs over the AWGN channel can be predicted very efficiently from their binary erasure channel (BEC) thresholds. From threshold results, we conjecture that the similarity of MC-DE and predicted thresholds is related to the threshold saturation capability as well as capacity-approaching maximum a posteriori... (More)
In this paper, we perform a belief propagation (BP) decoding threshold analysis of spatially coupled (SC) turbo-like codes (TCs) (SC-TCs) on the additive white Gaussian noise (AWGN) channel. We review Monte-Carlo density evolution (MC-DE) and efficient prediction methods, which determine the BP thresholds of SC-TCs over the AWGN channel. We demonstrate that instead of performing time-consuming MC-DE computations, the BP threshold of SC-TCs over the AWGN channel can be predicted very efficiently from their binary erasure channel (BEC) thresholds. From threshold results, we conjecture that the similarity of MC-DE and predicted thresholds is related to the threshold saturation capability as well as capacity-approaching maximum a posteriori (MAP) performance of an SC-TC ensemble. (Less)
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Entropy
volume
23
issue
2
pages
17 pages
publisher
MDPI AG
external identifiers
  • pmid:33669649
  • scopus:85114372930
ISSN
1099-4300
DOI
10.3390/e23020240
language
English
LU publication?
yes
id
597d626d-0120-4b7e-bdd2-661f16a6b959
date added to LUP
2021-02-19 23:18:52
date last changed
2025-04-04 14:36:08
@article{597d626d-0120-4b7e-bdd2-661f16a6b959,
  abstract     = {{In this paper, we perform a belief propagation (BP) decoding threshold analysis of spatially coupled (SC) turbo-like codes (TCs) (SC-TCs) on the additive white Gaussian noise (AWGN) channel. We review Monte-Carlo density evolution (MC-DE) and efficient prediction methods, which determine the BP thresholds of SC-TCs over the AWGN channel. We demonstrate that instead of performing time-consuming MC-DE computations, the BP threshold of SC-TCs over the AWGN channel can be predicted very efficiently from their binary erasure channel (BEC) thresholds. From threshold results, we conjecture that the similarity of MC-DE and predicted thresholds is related to the threshold saturation capability as well as capacity-approaching maximum a posteriori (MAP) performance of an SC-TC ensemble.}},
  author       = {{Farooq, Muhammad Umar and Amat, Alexandre Graell I and Lentmaier, Michael}},
  issn         = {{1099-4300}},
  language     = {{eng}},
  month        = {{02}},
  number       = {{2}},
  publisher    = {{MDPI AG}},
  series       = {{Entropy}},
  title        = {{Threshold Computation for Spatially Coupled Turbo-Like Codes on the AWGN Channel}},
  url          = {{http://dx.doi.org/10.3390/e23020240}},
  doi          = {{10.3390/e23020240}},
  volume       = {{23}},
  year         = {{2021}},
}