University of Oulu

Lv Y, He J, Xu W, Wang L. Design of Low-Density Parity-Check Code Pair for Joint Source-Channel Coding Systems Based on Graph Theory. Entropy. 2023; 25(8):1189.

Design of low-density parity-check code pair for joint source-channel coding systems based on graph theory

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Author: Lv, Yijie1; He, Jiguang2,3; Xu, Weikai1;
Organizations: 1Department of Information and Communication Engineering, Xiamen University, Xiamen 361005, China
2Technology Innovation Institute, Abu Dhabi P.O. Box 9639, United Arab Emirates
3Centre for Wireless Communications, University of Oulu, 90014 Oulu, Finland
Format: article
Version: published version
Access: open
Online Access: PDF Full Text (PDF, 0.5 MB)
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Language: English
Published: Multidisciplinary Digital Publishing Institute, 2023
Publish Date: 2023-10-17


In this article, a graph-theoretic method (taking advantage of constraints among sets associated with the corresponding parity-check matrices) is applied for the construction of a double low-density parity-check (D-LDPC) code (also known as LDPC code pair) in a joint source-channel coding (JSCC) system. Specifically, we pre-set the girth of the parity-check matrix for the LDPC code pair when jointly designing the two LDPC codes, which are constructed by following the set constraints. The constructed parity-check matrices for channel codes comprise an identity submatrix and an additional submatrix, whose column weights can be pre-set to be any positive integer numbers. Simulation results illustrate that the constructed D-LDPC codes exhibit significant performance improvement and enhanced flexible frame length (i.e., adaptability under various channel conditions) compared with the benchmark code pair.

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Series: Entropy
ISSN: 1099-4300
ISSN-E: 1099-4300
ISSN-L: 1099-4300
Volume: 25
Issue: 8
Article number: 1189
DOI: 10.3390/e25081189
Type of Publication: A1 Journal article – refereed
Field of Science: 213 Electronic, automation and communications engineering, electronics
Funding: This work was supported in part by the National Natural Science Foundation of China under Grant 61871337 and 61671395. This work was supported in part by the Key Laboratory of Southeast Coast Marine Information Intelligent Perception and Application, Ministry of Natural Resources (MNR), No. KFJJ20220201.
Copyright information: © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (