论文标题
空间耦合系统的长期内存消息通话
Long-Memory Message-Passing for Spatially Coupled Systems
论文作者
论文摘要
本文介绍了从空间耦合，线性和嘈杂的测量中重建稀疏信号。建立了一个严格状态进化的统一框架，用于在空间耦合系统中开发长期内存消息（LM-MP）。 LM-MP利用所有以前的消息来计算当前消息，而常规MP仅使用最新消息。统一的框架用于为空间耦合系统提出正交近似消息通话（OAMP）。 LM-MP的框架用作技术工具，以证明OAMP的状态进化的收敛性。数值结果表明，空间耦合系统的OAMP优于所谓瀑布区域没有空间耦合的系统。
This paper addresses the reconstruction of sparse signals from spatially coupled, linear, and noisy measurements. A unified framework of rigorous state evolution is established for developing long-memory message-passing (LM-MP) in spatially coupled systems. LM-MP utilizes all previous messages to compute the current message while conventional MP only uses the latest messages. The unified framework is utilized to propose orthogonal approximate message-passing (OAMP) for spatially coupled systems. The framework for LM-MP is used as a technical tool to prove the convergence of state evolution for OAMP. Numerical results show that OAMP for spatially coupled systems is superior to that for systems without spatial coupling in the so-called waterfall region.
