Non-Uniform Spatially-Coupled LDPC Codes over GF(2m)

Ji Zhang, Baoming Bai, Dixia Deng, Min Zhu, Hengzhou Xu, Mengsheng Guan · 2018

In this paper we consider the generalization of binary non-uniformly coupled low-density parity-check (LDPC) codes to that over Galois field GF (2m). We will perform an iterative decoding threshold analysis for this class of non-uniformly coupled LDPC ensembles formed by randomly coupled and protograph-based coupled ensembles, respectively. By optimizing the coupling among spatial positions, we can construct codes having excellent thresholds and small rate-loss. Moreover, we propose a list-aided windowed decoding (list-aided WD) scheme for nonbinary SC-LDPC codes with low decoding latency. Numerical results show that the list-aided WD which outperforms conventional WD can perform better performance and lower decoding latency than the flooding-schedule decoding at low SNRs on the additive white Gaussian noise channel.

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