The article introduces a new decoder for LDPC codes based on the general check matrix and soft syndrome. Simulation result shows that the new decoder can improve the performance of LDPC codes. Compared with some other improvements, the new decoding algorithm is simpler, and it can detect errors and be applied to great length LDPC codes.
A new decoding algorithm for LDPC codes on the AWGN channel is proposed. The algorithm is based on the idea of using redundant parity checks and additional variable nodes. The new key element in the proposed algorithm is the use of the orthogonal subsets of parity checks for computing soft decisions for different variable nodes. This allows for significant improvement in the decoding error performance of the algorithm compared to the known counterparts. Furthermore, new bounds on the error performance of the BP decoding applied to the parity-check matrices with redundant parity-checks are obtained.
According to the statistical decoding method,a new enlarged set of the low density check vectors was constructed by the linear combination among the vectors of the LDPC code's old check matrix.Combined with the analysis of the ParallelBit-Flipping(PBF) decoding algorithm,such as loop detection technique,a new hard-decision decoding algorithm was presented for LDPC codes.The simulation results show that our algorithm has small iterative numbers just like the PBF algorithm,and the decoding performance approaching the belief propagation algorithm.
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.