论文标题

双层和多层LDPC合奏的设计

Design of Bilayer and Multi-layer LDPC Ensembles from Individual Degree Distributions

论文作者

Ram, Eshed, Cassuto, Yuval

论文摘要

在渐近方案中提出并研究了一种设计双层和多层LDPC代码的新方法。合奏是通过单个的单差异度分布来定义的,每一层一个。我们提出了一种结构:1)对高SNR通道实例启用低复杂性解码,2)可证明的低SNR实例的能力,3)在图层数量中线性缩放(在设计复杂性方面)。对于与第一层相比,解码第二层的成本要高得多的设置,我们提出了最佳的成本解码时间表,并研究代码速率和解码成本之间的权衡。

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.

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