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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| Format: | Article |
| Language: | English |
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MDPI AG
2023-08-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/25/8/1189 |
| _version_ | 1797584804563124224 |
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| author | Yijie Lv Jiguang He Weikai Xu Lin Wang |
| author_facet | Yijie Lv Jiguang He Weikai Xu Lin Wang |
| author_sort | Yijie Lv |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T23:56:51Z |
| format | Article |
| id | doaj.art-003fd297b6aa464fa5d35c16bc2c0e33 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T23:56:51Z |
| publishDate | 2023-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-003fd297b6aa464fa5d35c16bc2c0e332023-11-19T00:59:51ZengMDPI AGEntropy1099-43002023-08-01258118910.3390/e25081189Design of Low-Density Parity-Check Code Pair for Joint Source-Channel Coding Systems Based on Graph TheoryYijie Lv0Jiguang He1Weikai Xu2Lin Wang3Department of Information and Communication Engineering, Xiamen University, Xiamen 361005, ChinaTechnology Innovation Institute, Abu Dhabi P.O. Box 9639, United Arab EmiratesDepartment of Information and Communication Engineering, Xiamen University, Xiamen 361005, ChinaDepartment of Information and Communication Engineering, Xiamen University, Xiamen 361005, ChinaIn 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.https://www.mdpi.com/1099-4300/25/8/1189joint source-channel codinglow-density parity-check codegraph theory |
| spellingShingle | Yijie Lv Jiguang He Weikai Xu Lin Wang Design of Low-Density Parity-Check Code Pair for Joint Source-Channel Coding Systems Based on Graph Theory Entropy joint source-channel coding low-density parity-check code graph theory |
| title | Design of Low-Density Parity-Check Code Pair for Joint Source-Channel Coding Systems Based on Graph Theory |
| title_full | Design of Low-Density Parity-Check Code Pair for Joint Source-Channel Coding Systems Based on Graph Theory |
| title_fullStr | Design of Low-Density Parity-Check Code Pair for Joint Source-Channel Coding Systems Based on Graph Theory |
| title_full_unstemmed | Design of Low-Density Parity-Check Code Pair for Joint Source-Channel Coding Systems Based on Graph Theory |
| title_short | Design of Low-Density Parity-Check Code Pair for Joint Source-Channel Coding Systems Based on Graph Theory |
| title_sort | design of low density parity check code pair for joint source channel coding systems based on graph theory |
| topic | joint source-channel coding low-density parity-check code graph theory |
| url | https://www.mdpi.com/1099-4300/25/8/1189 |
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