Asymptotic Behavior of Spatial Coupling LDPC Coding for Compute-and-Forward Two-Way Relaying
Asymptotic Behavior of Spatial Coupling LDPC Coding for Compute-and-Forward Two-Way Relaying
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DOI：
10.1109/tcomm.2020.2987891
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发表时间：
2020-04
影响因子：
8.3
通讯作者：
Satoshi Takabe;T. Wadayama;Masahito Hayashi
中科院分区：
文献类型：
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作者：
Satoshi Takabe;T. Wadayama;Masahito Hayashi
计算转发（CAF）中继是提高无线双向中继信道带宽效率的有效方法。适用于CAF中继方案的纠错码及其解码算法的设计仍然是有待研究的重要问题。在本文中，我们将基于密度演化（DE）分析 LDPC 码在双向中继信道上的渐近行为。由于信道的不对称特性，我们使用群体动态DE结合非对称信道的DE公式来获得置信传播（BP）阈值。此外，我们还评估了双向中继信道的空间耦合 LDPC 码的渐近性能。结果表明，与双向中继信道的相应非耦合代码相比，空间耦合代码在 BP 阈值方面产生了改进。
Compute-and-forward (CAF) relaying is an effective way to increase bandwidth efficiency of wireless two-way relay channels. Design of error-correcting codes and their decoding algorithms suitable for CAF relaying schemes remains an important issue to be studied. In this paper, we will analyze an asymptotic behavior of LDPC codes over two-way relay channels based on density evolution (DE). Because of the asymmetric characteristics of the channel, we use the population dynamics DE combined with DE formulas for asymmetric channels to obtain the belief propagation (BP) thresholds. Additionally, we also evaluate the asymptotic performance of spatially coupled LDPC codes for two-way relay channels. The results indicate that the spatially coupled codes yield improvements in the BP threshold compared with corresponding uncoupled codes for two-way relay channels.