Different perspective and approach to implement adaptive normalised belief propagation-based decoding for low-density parity check codes

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In this study, the authors propose an improved version of the min-sum algorithm for low-density parity check code decoding, which the authors call ‘adaptive normalised BP-based’ algorithm. Their decoder provides a compromise solution between belief propagation and the min-sum algorithms by adding an exponent offset to each variable node's intrinsic information in the check node update equation. The extrinsic information from the min-sum decoder is then adjusted by applying a negative power of the two scale factor, which can be easily implemented by right shifting the min-sum extrinsic information. The difference between their approach and other adaptive normalised min-sum decoders is that the authors select the normalisation scale factor using a clear analytical approach based on the underlying principles. The simulation results show that the proposed decoder outperforms the min-sum decoder and performs very close to the BP decoder with lower complexity.