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Physical Communication

Generalized weighted bit-flipping LDPC decoding for asymmetric optical channels

Sadjad Haddadi, Mahmoud Farhang, Mostafa Derakhtian

Published May 11, 2021• 6 citations
Publisher
DOI
10.1016/j.phycom.2021.101369

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In this contribution, a novel reliability-ratio based weighted bit-flipping (RRWBF) algorithm is proposed for decoding low density parity check (LDPC) codes. The RRWBF algorithm proposed is benchmarked against the conventional weighted bit-flipping (WBF) algorithm and the improved weighted bit-flipping (IWBF) algorithm. More than 1 and 2 dB coding gain was achieved at a BER of 10/sup -5/ while invoking the RRWBF algorithm in comparison to the two benchmarking schemes, when communicating over an AWGN and an uncorrelated Rayleigh channel, respectively. Furthermore, the decoding complexity of the proposed RRWBF algorithm is maintained at the same level as that of the conventional WBF algorithm.
Two simple and efficient weighted bit flipping(WBF)decoding algorithms for low density paritycheck(LDPC)codes are proposed,in which the sum of the variable nodes' magnitude is introduced to compute the reliability of the parity checks.Simulation results shows that the performance of one of the improved scheme is better than that of traditional WBF and modified WBF(MWBF)algorithms about 1.65dB and 1.31dB at BER of 10-5 over an additive white Gaussian noise channel,respectively,while the average number of decoding iterations is significantly reduced.
An extrinsic reliability adjustment(ERA) scheme of low-density parity-check(LDPC) codes is proposed in this paper based on theoretical analysis of the physical significance for two previous weighted bit-flipping(WBF) algorithms, which have less complexity with poor error correcting performance. The novel scheme significantly improves the check-node realiability accuracy of the two previous WBF algorithms. Therefore, the flipping efficiency of the novel decoding algorithm is increased. The extensive simulations prove that the ERA scheme can obviously improves the performance of the two previous WBF algorithms and a great decoding gain is obtained over an AWGN channel, which achieves an appealing tradeoff between performance and complexity.