Layered SEMS Decoding for Non-Binary LDPC-Coded PNC Systems

In this letter, a layered scaled extended min-sum (LSEMS) algorithm is proposed to decode non-binary low-density parity-check (LDPC) codes in physical-layer network coding (PNC) systems. The proposed LSEMS algorithm is developed for the joint channel decoding and physical-layer network coding (JCNC)...

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Bibliographic Details
Published in:IEEE wireless communications letters Vol. 14; no. 3; pp. 866 - 870
Main Authors: Su, Chongchong, Kang, Peng, Chen, Pingping, Fang, Yi
Format: Journal Article
Language:English
Published: Piscataway IEEE 01.03.2025
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithms
Binary codes
Coding
Complexity
Complexity theory
Decoding
Error correcting codes
layered schedule
Modulation
Network coding
non-binary low-density parity-check codes
Parity check codes
Phase shift keying
Physical-layer network coding
Pulse amplitude modulation
Relays
Reliability
scaled extended min-sum
Schedules
Symbols
Vectors
Wireless communications
ISSN:2162-2337, 2162-2345
Online Access:Get full text
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Summary:In this letter, a layered scaled extended min-sum (LSEMS) algorithm is proposed to decode non-binary low-density parity-check (LDPC) codes in physical-layer network coding (PNC) systems. The proposed LSEMS algorithm is developed for the joint channel decoding and physical-layer network coding (JCNC) over wireless fading channels. It proposes a sequential update of check nodes to decode the exclusive ORed (XORed) codewords that are generated by the non-binary LDPC codes. The LSEMS algorithm achieves almost the same decoding complexity as the scaled extended min-sum (SEMS) algorithm, while it benefits from much less complexity than the reliability-based layered BP (RLBP) algorithm. Simulation results show that the LSEMS algorithm outperforms the conventional SEMS algorithm by about 0.5 dB in non-binary LDPC-coded PNC for both q-level pulse amplitude modulation (q-PAM) and q-ary phase shift keying (q-PSK) modulations.
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content type line 14
ISSN:2162-2337
2162-2345
DOI:10.1109/LWC.2025.3526613