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Systems engineering and electronics

Offset adjustment based weighted bit-flipping decoding algorithm for LDPC codes

Zhang Gao-yua

Published Jan 1, 2014• 0 citations
OpenAlex

Abstract

Extensive simulations show that for some low density parity-check(LDPC)codes of low row/colum weight,the modified sum of the magnitude based weighted bit flipping(MSMWBF)decoding algorithm performs extraordinarily well.However,this dose not hold when it comes to large row/colum weight finite-geometry LDPC codes,which is first theoretically analyzed.Secondly,improvement in performance is observed for large row/colum weight LDPC codes by considering an additive offset term for the parity-check-equation reliability of the above algorithm.Simulation results show that the performance of the improved scheme is better than that of the MSMWBF algorithm about 0.63 dB at bit-error rate of 10-5 over the additive white Gaussian noise channel with only a modest increase in computational complexity.

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Extensive simulations show that for some low density parity-check(LDPC)codes of low row/colum weight,the modified sum of the magnitude based weighted bit flipping(MSMWBF)decoding algorithm performs extraordinarily well.However,this dose not hold when it comes to large row/colum weight finite-geometry LDPC codes,which is first theoretically analyzed.Secondly,improvement in performance is observed for large row/colum weight LDPC codes by considering an additive offset term for the parity-check-equation reliability of the above algorithm.Simulation results show that the performance of the improved scheme is better than that of the MSMWBF algorithm about 0.63 dB at bit-error rate of 10-5 over the additive white Gaussian noise channel with only a modest increase in computational complexity.
We present a major improvement to the modified weighted bit flipping (MWBF) decoding algorithm for low density parity-check (LDPC) codes. We improve the flipping criterion by introducing a more efficient method for computing the reliability of the parity checks. We derive an approximate theoretical expression for the weighting factor and demonstrate its consistency with simulation results. The improved MWBF algorithm achieves a noticeable gain over the MWBF algorithm with only a modest increase in computational 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.
Aiming at seeking a low-complexity decoder with fast decoding convergence speed for short or medium low-density parity-check (LDPC) codes, an improved parallel weighted bit-flipping (IPWBF) algorithm, which is applied flexibly for two classes of codes is presented here. For LDPC codes with low column weight in their parity check matrix, both bootstrapping and loop detection procedures, described in the existing literature, are included in IPWBF. Furthermore, a novel delay-handling procedure is introduced to prevent the codeword bits of high reliability from being flipped too hastily. For large column weight finite geometry LDPC codes, only the delay-handling procedure is included in IPWBF to show its effectiveness. Extensive simulation results demonstrate that the proposed algorithm achieves a good tradeoff between performance and complexity.
In this paper, a modified weighted bit-flipping (WBF) algorithm is proposed for finite geometry low-density parity-check (FG-LDPC) codes. The calculation for the flipping function in the new method includes all the elements in sum product algorithm (SPA) instead of the minimum one in most existing methods. Simulation results show that the proposed method exhibits better performance than the best method available in the literature so far. The performances of different algorithms are also considered in random constructed LDPC codes. The reliability ratio based WBF (RRWBF) method performs the best in this kind of codes and the proposed method performs very closely to the RRWBF method. The decoding complexities for both FG-LDPC and random constructed LDPC are also analyzed.
The paper presents an improvement of the weighted bit-flipping (WBF) decoding algorithm for LDPC codes proposed by Liu and Pados (2003). Simulation results show that the improved WBF algorithm provides about 0.25 dB coding gain over the Liu–Pados WBF algorithm. Also included in the paper is a simplified loop-detection algorithm, which is much easier to implement than the one proposed by Liu and Pados. The proposed WBF algorithm is particularly effective for decoding LDPC codes whose parity check matrices have large row/column weights such as finite geometry LDPC codes.