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International Conference on Computational Intelligence and Security (CIS)

Reliability Adjustment Weighted Bit-Flipping Decoding for Low-Density Parity-Check Codes

Shengpei Ding, Jiongcheng Li, Heng-hui XIAO, Haiyi Huang

Published Dec 1, 2013• 0 citations
Publisher

Abstract

In this paper, we propose reliability adjustment weighted bit-flipping (RA-WBF) decoding algorithm for low density parity-check (LDPC) codes. By adjusting the reliability of received symbols during iterative decoding, the proposed algorithm can offer better tradeoff between performance, convergence speed and computational complexity. Furthermore, this improvement can easily be extended to other variations of weighted bit-flipping decoding algorithm and obtain noticeable improvement in error performance. Simulation results are shown to verify our conclusions.

DOI
10.1109/cis.2013.144

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In this paper, we propose reliability adjustment weighted bit-flipping (RA-WBF) decoding algorithm for low density parity-check (LDPC) codes. By adjusting the reliability of received symbols during iterative decoding, the proposed algorithm can offer better tradeoff between performance, convergence speed and computational complexity. Furthermore, this improvement can easily be extended to other variations of weighted bit-flipping decoding algorithm and obtain noticeable improvement in error performance. Simulation results are shown to verify our conclusions.
Abstract- Low Density Parity Check (LDPC) codes can be decoded in various ways, namely the Bit-Flipping (BF) algorithm, the Weighted BF algorithm (WBF) ， the Belief Propagation (BP) algorithm and so on. These algorithms provide a wide range of tradeoffs among decoding complexity, decoding speed, and error rate performance. In this paper, a novel self-reliability-based weighted bit-flipping decoding scheme for low-density parity-check codes is proposed. Improvement in performance is observed in comparison with the modified weighted bit-flipping decoding scheme, and the decoding complexity can be significantly reduced as well. Key-Words:- Low-density parity-check (LDPC) codes, decoding algorithm, bit flipping, self reliability
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.
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 adaptive weighted multibit-flipping (AWMBF) decoding algorithm which flips multiple bits in each iteration is proposed for low-density parity-check (LDPC) codes. The multibit-flipping criterion is devised based on the least reliable positions in which reliability measure threshold is dynamically adapted during the decoding process. The proposed decoder converges faster and provides better performances than the conventional weighted bit-flipping and multibit-flipping decoders. Simulation results demonstrate that the proposed algorithm achieves a good tradeoff between performance and complexity.