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Optical and Quantum Electronics

Non-binary QC-LDPC codes for non-Gaussian optical channels

P. Sajith Sethu, Kunnel Gopalan Gopchandran, Sam Solomon

Published Oct 13, 2021• 1 citation
Publisher
DOI
10.1007/s11082-021-03230-1

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This paper considers the algebraic construction and performance of non-binary spatially-coupled low density parity check (LDPC) codes. A replicate-and-mask approach is presented to construct finite-length algebraic quasi-cyclic (QC) spatially-coupled (SC) LDPC codes. Numerical results show the superiority of non-binary algebraic SC QC LDPC codes over the corresponding random non-binary (block and SC) LDPC codes. In this paper, it is demonstrated that the threshold saturation phenomenon, previously demonstrated for binary SC LDPC codes, also holds for non-binary SC LDPC codes over the binary-input AWGN channel with BPSK modulation.