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Improved Decoding of Binary and Non-Binary LDPC Codes by Probabilistic Shuffled Belief Propagation

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Executive Summary

Low-Density Parity-Check (LDPC) codes have proved to be very powerful channel coding schemes with a broad range of applications. However, as maximum-likelihood decoding is utterly complex, suboptimal decoders have to be employed. One of the most popular decoding algorithms of LDPC codes is Belief Propagation (BP) decoding. In this paper, the authors present a novel scheduling for belief propagation decoding of LDPC codes. The new approach combines probabilistic scheduling with the known shuffled and check-shuffled serial scheduling algorithms. The resulting probabilistic shuffled and probabilistic check-shuffled decoders show a superior performance in terms of residual bit error rate.

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