空间耦合提高阈值的唯象研究
A Phenomenological Study on Threshold Improvement via Spatial Coupling
摘要：
Kudekar等人在低密度奇偶校验（LDPC）卷积码中证明了一个有趣的结果：置信传播（BP）阈值通过空间耦合提升到最大后验概率（MAP）阈值。此外，作者表明，码分多址（CDMA）系统的BP阈值提高到最佳的一个通过空间耦合。在这封信中，一个现象学的模型来阐明这些现象的本质，称为阈值改善，提出。主要的结果意味着阈值的改善发生在空间耦合的一般图形模型。
英文摘要：
Kudekar et al. proved an interesting result in low-density parity-check (LDPC) convolutional codes: The belief-propagation (BP) threshold is boosted to the maximum-a-posteriori (MAP) threshold by spatial coupling. Furthermore, the authors showed that the BP threshold for code-division multiple-access (CDMA) systems is improved up to the optimal one via spatial coupling. In this letter, a phenomenological model for elucidating the essence of these phenomenon, called threshold improvement, is proposed. The main result implies that threshold improvement occurs for spatially-coupled general graphical models.
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