An Improved Reliability-Based Decoding Algorithm for NB-LDPC Codes

When non-binary low-density parity-check (NB-LDPC) codes with low column weights are adopted, the iterative reliability-based majority-logic decoding (IRB-MLGD) algorithms suffer from severe performance degradation compared to message passing algorithms. In this brief, based on the improved iterativ...

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Bibliographic Details
Published in:IEEE communications letters Vol. 25; no. 4; pp. 1153 - 1157
Main Authors: Song, Suwen, Tian, Jing, Lin, Jun, Wang, Zhongfeng
Format: Journal Article
Language:English
Published: New York IEEE 01.04.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithms
Binary system
Codes
Computational complexity
Decoding
Error correcting codes
Error-correction codes
Iterative decoding
Iterative methods
majority-logic decoding
Memory management
Message passing
non-binary LDPC codes
Performance degradation
Perturbation
Perturbation methods
Real-time systems
Reliability
reliability-based decoding
ISSN:1089-7798, 1558-2558
Online Access:Get full text
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Summary:When non-binary low-density parity-check (NB-LDPC) codes with low column weights are adopted, the iterative reliability-based majority-logic decoding (IRB-MLGD) algorithms suffer from severe performance degradation compared to message passing algorithms. In this brief, based on the improved iterative soft reliability-based (IISRB)-MLGD algorithm, we propose a perturbation-injected (P)-IISRB algorithm, where a regular perturbation is introduced to alleviate the periodic point problem that is the main reason for IISRB decoding failure. Compared with the conventional IISRB, the new algorithm significantly improves the decoding performance, lowering the error-floor by at least two orders of magnitude for the example code. Besides, instead of traditionally pre-computing and storing all the <inline-formula> <tex-math notation="LaTeX">q </tex-math></inline-formula>-ary channel reliability measures, a real-time computing method is presented, which reduces the memory cost from <inline-formula> <tex-math notation="LaTeX">\mathcal {O} </tex-math></inline-formula>(<inline-formula> <tex-math notation="LaTeX">q </tex-math></inline-formula>) to <inline-formula> <tex-math notation="LaTeX">\mathcal {O} </tex-math></inline-formula>(<inline-formula> <tex-math notation="LaTeX">\log _{2}q </tex-math></inline-formula>).
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ISSN:1089-7798
1558-2558
DOI:10.1109/LCOMM.2021.3049602