Design of Low-Density Parity-Check Code Pair for Joint Source-Channel Coding Systems Based on Graph Theory

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) sys...

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Veröffentlicht in:Entropy (Basel, Switzerland) Jg. 25; H. 8; S. 1189
Hauptverfasser: Lv, Yijie, He, Jiguang, Xu, Weikai, Wang, Lin
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Basel MDPI AG 01.08.2023
MDPI
Schlagworte:
Analysis
Codes
Coding
Design
Error correcting codes
Graph theory
joint source-channel coding
Low density parity check codes
low-density parity-check code
Parity
ISSN:1099-4300, 1099-4300
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Zusammenfassung: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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ISSN:1099-4300
1099-4300
DOI:10.3390/e25081189