Design of Bilayer and Multi-Layer LDPC Ensembles From Individual Degree Distributions

DOI10.1109/TIT.2021.3104229zbMATH Open1487.94195arXiv2010.14758OpenAlexW3195400696MaRDI QIDQ5032559

Yuval Cassuto, Eshed Ram

Publication date: 17 February 2022

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Abstract: A new approach for designing bilayer and multi-layer LDPC codes is proposed and studied in the asymptotic regime. The ensembles are defined through individual uni-variate degree distributions, one for each layer. We present a construction that: 1) enables low-complexity decoding for high-SNR channel instances, 2) provably approaches capacity for low-SNR instances, 3) scales linearly (in terms of design complexity) in the number of layers. For the setup where decoding the second layer is significantly more costly than the first layer, we propose an optimal-cost decoding schedule and study the trade-off between code rate and decoding cost.

Full work available at URL: https://arxiv.org/abs/2010.14758

zbMATH Keywords

asymptotic regimedesign of bilayer and multi-layer LDPC codes

Mathematics Subject Classification ID

Other types of codes (94B60)

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