Analysis and Optimization of a General Linking Matrix for JSCC Scheme Based on Double LDPC Codes

A key component of the joint source-channel coding (JSCC) scheme based on double low-density parity-check (D-LDPC) codes is the introduction of a linking matrix between the source LDPC code and channel LDPC code, by which the decoding information including the source redundancy and channel state inf...

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Vydáno v:Entropy (Basel, Switzerland) Ročník 25; číslo 2; s. 382
Hlavní autoři: Chen, Qiwang, Xu, Zhiping, Wu, Huihui, Cai, Guofa
Médium: Journal Article
Jazyk:angličtina
Vydáno: Switzerland MDPI AG 19.02.2023
MDPI
Témata:
Algorithms
Analysis
Codes
Coding
Coding theory
Decoding
double low-density parity-check codes
Error correcting codes
Information transfer
joint source-channel coding
linking matrix
Low density parity check codes
Mathematical optimization
Matrices
Nodes
Optimization
Parity
Redundancy
China
joint source-channel coding
linking matrix
double low-density parity-check codes
ISSN:1099-4300, 1099-4300
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Shrnutí:A key component of the joint source-channel coding (JSCC) scheme based on double low-density parity-check (D-LDPC) codes is the introduction of a linking matrix between the source LDPC code and channel LDPC code, by which the decoding information including the source redundancy and channel state information can be transferred iteratively. However, the linking matrix is a fixed one-to-one mapping, i.e., an identity matrix in a conventional D-LDPC code system, which may not take full advantage of the decoding information. Therefore, this paper introduces a general linking matrix, i.e., a non-identity linking matrix, connecting the check nodes (CNs) of the source LDPC code and the variable nodes (VNs) of the channel LDPC code. Further, the encoding and decoding algorithms of the proposed D-LDPC coding system are generalized. A joint extrinsic information transfer (JEXIT) algorithm is derived for calculating the decoding threshold of the proposed system with a general linking matrix. In addition, several general linking matrices are optimized with the aid of the JEXIT algorithm. Finally, the simulation results demonstrate the superiority of the proposed D-LDPC coding system with general linking matrices.
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ISSN:1099-4300
1099-4300
DOI:10.3390/e25020382