论文标题
空间耦合线性模型的正交近似消息通话
Orthogonal Approximate Message-Passing for Spatially Coupled Linear Models
论文作者
论文摘要
提出了正交近似消息通话（OAMP），以通过空间耦合从右式不变的线性测量中恢复信号。传统状态进化被推广到用于空间耦合和长期内存案例的状态进化统一框架。统一框架用于制定空间耦合系统的OAMP中所谓的Onsager校正。事实证明，贝叶斯最佳OAMP的状态进化递归通过贝叶斯最佳的长期内存OAMP及其状态进化而融合了空间耦合系统。本文证明了贝叶斯最佳OAMP的信息理论最优性，用于无噪声的空间耦合系统，并具有右式不变的传感矩阵。
Orthogonal approximate message-passing (OAMP) is proposed for signal recovery from right-orthogonally invariant linear measurements with spatial coupling. Conventional state evolution is generalized to a unified framework of state evolution for the spatial coupling and long-memory case. The unified framework is used to formulate the so-called Onsager correction in OAMP for spatially coupled systems. The state evolution recursion of Bayes-optimal OAMP is proved to converge for spatially coupled systems via Bayes-optimal long-memory OAMP and its state evolution. This paper proves the information-theoretic optimality of Bayes-optimal OAMP for noiseless spatially coupled systems with right-orthogonally invariant sensing matrices.
