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Journal of Beijing Jiaotong University

Hybrid Bit-Flip Decoding Algorithm for LDPC Codes

Changjia Chen

Published Jan 1, 2005• 2 citations
OpenAlex

Abstract

A Hybrid Bit Flip(HBF) decoding algorithm for Low-Density Parity-Check (LDPC) codes is proposed in this paper. The algorithm makes full use of the soft output of belief-propagation (BP) (decoding) algorithm for LDPC codes, and greatly improves the bit error rate (BER) of the classical bit-flip (BF) algorithm. The simulation results in AWGN channel show that the HBF algorithm outperforms the BP algorithm under almost the same computational complexity. Furthermore, the former can achieve much lower error floor than the latter can do.

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International Symposium on Wireless Pervasive Computing•Nov 1, 2013•8 citations
A Hybrid Bit Flip(HBF) decoding algorithm for Low-Density Parity-Check (LDPC) codes is proposed in this paper. The algorithm makes full use of the soft output of belief-propagation (BP) (decoding) algorithm for LDPC codes, and greatly improves the bit error rate (BER) of the classical bit-flip (BF) algorithm. The simulation results in AWGN channel show that the HBF algorithm outperforms the BP algorithm under almost the same computational complexity. Furthermore, the former can achieve much lower error floor than the latter can do.
In this paper, a new method for improving hard-decision bit-flipping (BF) decoding is proposed for low-density parity-check codes. The flipping criterion is derived theoretically from the soft-decision belief-propagation decoding algorithm. The proposed BF decoding algorithm is channel independent and is improved by introducing a more efficient method for computing the reliability of the parity checks. Extensive simulations are provided to demonstrate the efficiency of the proposed algorithm. Simulation results show that the proposed algorithm can achieve about 1.5dB coding gain improvement at BER = 5×10−6while reducing up to 48% iterations for decoding and maintaining low decoding complexity, compared with the conventional weighted BF algorithm.
In this study, a new method for improving hard-decision bit-flipping (BF) decoding is proposed for low-density parity-check codes. The flipping criterion is derived theoretically from the soft-decision belief-propagation decoding algorithm. The proposed BF decoding algorithm is channel independent and is improved by introducing a more efficient method for computing the reliability of the parity checks. Extensive simulations are provided to demonstrate the efficiency of the proposed algorithm. Simulation results show that the proposed algorithm can achieve about 1.6 dB coding gain improvement at BER=10−5 while reducing up to 53% iterations for decoding and maintaining low-decoding complexity, compared with the conventional weighted BF algorithm.
A hybrid belief propagation (BP) decoding algorithm for low-density parity-check code is proposed to accelerate the convergence of decoding and reduce the number of decoding iterations. The hybrid scheme is presented by integrating the BP algorithm with the bit-flipping function which is used as adaptive weighted factor in the BP iteration decoding. The adaptive weighting factor is based on the average weighted reliability measure of the hard output of decoder. The proposed hybrid adaptive weighted iteration scheme can efficiently increase the convergence speed of the belief propagation decoding and therefore improve the error performance. Simulation results show that the proposed algorithm can significantly reduce the decoding complexity and achieve better error performances as compared with the sum-product algorithm.
Compared with belief-propagation decoding algorithm which has complexity class of o(n2),bit-flipping(BF) decoding algorithm for low density parity check(LDPC) codes has only complexity class of o(n).However,the performance of BF algorithm is degraded.This paper presents a modified BF decoding algorithm,which uses reliability ratio as a weight of information node in unsatisfied parity checks so that the soft information is introduced in decoding,and the decoding performance is improved greatly with a little more computation.Analyses show the modified algorithm still has a complexity class of o(n).Simulation results indicate that the error rate with 7dB SNR is improved from 10-3 of the weighted bit-flipping decoding algorithm to 10-4 of the modified algorithm.
Low-density parity-check (LDPC) codes with column weight-4 are widely used in many commu-nication and storage systems. However, traditional hard decision decoding algorithms such as the bit-flipping (BF) algorithm suffer from error floor due to trapping sets in LDPC codes. In this paper, to lower error floor of the BF algorithm over the Binary Symmetric Channel (BSC), we design a set of decoding rules incorporated within the BF algorithm for column weight-4 LDPC codes. Given a column weight-4 LDPC code, the dominate error patterns of the BF algorithm are first specified, and according to the designed rules, additional bits at both variable nodes (VN) and check nodes (CN) provide more information for the BF algorithm to identify the dominate error patterns, so that the BF algorithm could deliberately flip some bits to break them. Simulation results show that the modified BF algorithm eliminates all 4-error patterns and lowers the Bit Error Rate (BER) for at least two orders of magnitude with a trivial increment of complexity.