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

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