Spatially distributed sampling and reconstruction
Spatially distributed sampling and reconstruction
复制标题
空间分布式采样和重建
DOI：
10.1016/j.acha.2017.07.007
复制
发表时间：
2019
影响因子：
2.5
通讯作者：
Qiyu Sun
中科院分区：
文献类型：
--
作者：
Cheng Cheng;Yingchun Jiang;Qiyu Sun
空间分布式网络包含大量的代理有限的传感，数据处理和通信能力。最近的技术进步已经开辟了部署用于信号采样和重构的空间分布式网络的可能性。在本文中，我们介绍了一个图形结构的分布式采样和重建系统的耦合剂在空间分布网络与创新的位置的信号。采样理论中的一个基本问题是在采样噪声存在的情况下信号重构的鲁棒性。对于分布式采样与重构系统，鲁棒性可归结为传感矩阵的稳定性。本文将分布式采样重构系统分解为一族重叠的小子系统，证明了传感矩阵的稳定性当且仅当其对这些子系统的拟约束具有一致稳定性。这个新的稳定性准则可能是关键的鲁棒分布式采样和重建系统的设计，对补充，更换和损害的代理，因为我们只需要检查受影响的子系统的一致稳定性。在本文中，我们还提出了一个指数收敛的分布式算法的信号重建，提供了一个次优逼近的原始信号中存在的有界采样噪声。
A spatially distributed network contains a large amount of agents with limited sensing, data processing, and communication capabilities. Recent technological.advances have opened up possibilities to deploy spatially distributed networks for signal sampling and reconstruction. In this paper, we introduce a graph structure for a distributed sampling and reconstruction system by coupling agents in a spatially distributed network with innovative positions of signals. A fundamental problem in sampling theory is the robustness of signal reconstruction in the presence of sampling noises. For a distributed sampling and reconstruction system, the robustness could be reduced to the stability of its sensing matrix. In this paper, we split a distributed.sampling and reconstruction system into a family of overlapping smaller subsystems, and we show that the stability of the sensing matrix holds if and only if its quasi-restrictions to those subsystems have uniform stability. This new stability criterion could be pivotal for the design of a robust distributed sampling and reconstruction system against supplement, replacement and impairment of agents, as we only need to check the uniform stability of affected subsystems. In this paper, we also propose an exponentially convergent distributed algorithm for signal reconstruction, that provides a suboptimal approximation to the original signal in the presence of bounded sampling noises.