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International Conference on Communications

A Modified Bit-Flipping Decoding Algorithm for Low-Density Parity-Check Codes

Telex M. N. Ngatched, Fambirai Takawira, Martin Bossert

Published Jun 1, 2007• 11 citations
Publisher

Abstract

In this paper, a modified bit-flipping decoding algorithm for low-density parity-check (LDPC) codes is proposed. Both improvement in performance and reduction in decoding delay are observed by flipping multiple bits in each iteration. Our studies show that the proposed algorithm achieves an appealing tradeoff between performance and complexity for many constructions of LDPC codes.

DOI
10.1109/icc.2007.112

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In this paper, a modified bit-flipping decoding algorithm for low-density parity-check (LDPC) codes is proposed. Both improvement in performance and reduction in decoding delay are observed by flipping multiple bits in each iteration. Our studies show that the proposed algorithm achieves an appealing tradeoff between performance and complexity for many constructions of LDPC codes.
To reduce loop-oscillation errors occurring in the weighted bit-flipping algorithm,a hybrid weighted bit-flipping decoding algorithm for low-density parity-check(LDPC) codes is proposed.The proposed algorithm updates multiple bits in each iteration,a random perturbation is added when the loop oscillation is detected which could reduce loop-oscillation errors by changing objective function.And these errors are analyzed from the mathematic perspective.Simulation results and complexity comparison show that the proposed algorithm achieves an appealing tradeoff among performance,convergence and complexity for structured LDPC codes compared with the best known weighted bit-flipping decoding algorithm.
A novel bit-flipping (BF) algorithm with low complexity for high-throughput decoding of low-density parity-check (LDPC) codes is presented. At each iteration, a novel threshold pattern is used to determine the code bits whether to be flipped or not, and the flipping error probability is effectively decreased. Compared with the weighted BF algorithm and its modifications, the modified BF algorithm has significantly lower complexity and decoding time. Through simulations the proposed BF algorithm is shown to achieve excellent performance and fast convergence speed while maintaining significantly low complexity thus facilitating high-throughput decoding.
An improved bit-flipping decoding algorithm is proposed for low-density parity-check(LDPC) codes in this paper.Two influences on error probabilities of code bits are considered: the influence of the number of code bits included in an unsatisfied check,and the influence of the number of unsatisfied checks of each code bit.No soft information is required for decoding.Simulation results show that improvement on performance is observed for the proposed algorithm,and it provides better performance over several soft-decision bit-flipping decoding algorithms for LDPC codes with large girth.
This paper proposes a modified weighted violation-based bit-flipping decoding algorithm for LDPC codes, and no soft information is required for decoding, Futhermore, in order to reduce the average number of iterations and decoding complexity, the threshold of judgement is set. Simulation results show that this modified algorithm could achieve much less number of iterations and better performance as compared with several soft-decision bit-flipping decoding algorithms for LDPC codes with large girth and low code rate.