Layered Decoding for Protograph-Based Low-Density Parity-Check Hadamard Codes

Peng W. Zhang; Francis C.M. Lau; Chiu W. Sham

doi:10.1109/LCOMM.2021.3057717

Layered Decoding for Protograph-Based Low-Density Parity-Check Hadamard Codes

Peng W. Zhang, Francis C.M. Lau, Chiu W. Sham

The Hong Kong Polytechnic University

Research output: Journal article publication › Journal article › Academic research › peer-review

4 Citations (Scopus)

Abstract

In this letter, we propose a layered decoding algorithm for protograph-based low-density parity-check Hadamard codes (PLDPC-HCs), which have been shown to be ultimate-Shannon-limit approaching. Compared with the standard decoding algorithm, the layered decoding algorithm improves the convergence rate by about two times. At a bit error rate of 2.0\times 10^{-5} , the layered decoder using 20 decoding iterations shows a very small degradation of 0.03 dB compared with the standard decoder using 40 decoding iterations. Moreover, the layered decoder using 21 decoding iterations shows the same error performance as the standard decoder using 41 decoding iterations.

Original language	English
Article number	9349523
Pages (from-to)	1776-1780
Number of pages	5
Journal	IEEE Communications Letters
Volume	25
Issue number	6
DOIs	https://doi.org/10.1109/LCOMM.2021.3057717
Publication status	Published - Jun 2021

Keywords

Convergence rate
layered decoding
protograph-based LDPC-Hadamard codes
ultimate Shannon limit

ASJC Scopus subject areas

Modelling and Simulation
Computer Science Applications
Electrical and Electronic Engineering

More information

10.1109/LCOMM.2021.3057717

http://hdl.handle.net/10397/91934

Cite this

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title = "Layered Decoding for Protograph-Based Low-Density Parity-Check Hadamard Codes",

abstract = "In this letter, we propose a layered decoding algorithm for protograph-based low-density parity-check Hadamard codes (PLDPC-HCs), which have been shown to be ultimate-Shannon-limit approaching. Compared with the standard decoding algorithm, the layered decoding algorithm improves the convergence rate by about two times. At a bit error rate of 2.0\times 10^{-5} , the layered decoder using 20 decoding iterations shows a very small degradation of 0.03 dB compared with the standard decoder using 40 decoding iterations. Moreover, the layered decoder using 21 decoding iterations shows the same error performance as the standard decoder using 41 decoding iterations. ",

keywords = "Convergence rate, layered decoding, protograph-based LDPC-Hadamard codes, ultimate Shannon limit",

author = "Zhang, {Peng W.} and Lau, {Francis C.M.} and Sham, {Chiu W.}",

note = "Funding Information: Manuscript received January 17, 2021; accepted February 4, 2021. Date of publication February 8, 2021; date of current version June 10, 2021. The work described in this letter was partially supported by a grant from the RGC of the Hong Kong SAR, China (Project No. PolyU 152170/18E). The associate editor coordinating the review of this letter and approving it for publication was M. A. C. Gomes. (Corresponding author: Francis C. M. Lau.) Peng W. Zhang and Francis C. M. Lau are with the Future Wireless Networks and IoT Focusing Area, Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Hong Kong (e-mail: pengwei.zhang@connect.polyu.hk; francis-cm.lau@polyu.edu.hk). Publisher Copyright: {\textcopyright} 1997-2012 IEEE.",

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AU - Lau, Francis C.M.

AU - Sham, Chiu W.

N1 - Funding Information: Manuscript received January 17, 2021; accepted February 4, 2021. Date of publication February 8, 2021; date of current version June 10, 2021. The work described in this letter was partially supported by a grant from the RGC of the Hong Kong SAR, China (Project No. PolyU 152170/18E). The associate editor coordinating the review of this letter and approving it for publication was M. A. C. Gomes. (Corresponding author: Francis C. M. Lau.) Peng W. Zhang and Francis C. M. Lau are with the Future Wireless Networks and IoT Focusing Area, Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Hong Kong (e-mail: pengwei.zhang@connect.polyu.hk; francis-cm.lau@polyu.edu.hk). Publisher Copyright: © 1997-2012 IEEE.

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N2 - In this letter, we propose a layered decoding algorithm for protograph-based low-density parity-check Hadamard codes (PLDPC-HCs), which have been shown to be ultimate-Shannon-limit approaching. Compared with the standard decoding algorithm, the layered decoding algorithm improves the convergence rate by about two times. At a bit error rate of 2.0\times 10^{-5} , the layered decoder using 20 decoding iterations shows a very small degradation of 0.03 dB compared with the standard decoder using 40 decoding iterations. Moreover, the layered decoder using 21 decoding iterations shows the same error performance as the standard decoder using 41 decoding iterations.

AB - In this letter, we propose a layered decoding algorithm for protograph-based low-density parity-check Hadamard codes (PLDPC-HCs), which have been shown to be ultimate-Shannon-limit approaching. Compared with the standard decoding algorithm, the layered decoding algorithm improves the convergence rate by about two times. At a bit error rate of 2.0\times 10^{-5} , the layered decoder using 20 decoding iterations shows a very small degradation of 0.03 dB compared with the standard decoder using 40 decoding iterations. Moreover, the layered decoder using 21 decoding iterations shows the same error performance as the standard decoder using 41 decoding iterations.

KW - Convergence rate

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KW - ultimate Shannon limit

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Layered Decoding for Protograph-Based Low-Density Parity-Check Hadamard Codes

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Keywords

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