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arXiv 1210.7397math.OCcs.SYeess.SY
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二维和三维中目标定位与跟踪的传感器最优布置

Optimal Sensor Placement for Target Localization and Tracking in 2D and 3D

National University of Singapore(新加坡国立大学)

Shiyu Zhao, Ben M. Chen, Tong H. Lee

AI总结:

本文通过统一框架和框架理论,分析了二维和三维中仅方位、仅距离和接收信号强度三种传感器的最优布置问题,给出了最优布置的充要条件及其解析性质,并提出了梯度控制律以数值构造最优布置。

摘要:

本文解析地刻画了二维和三维中目标定位与跟踪的传感器最优布置。考虑了三种传感器类型:仅方位、仅距离和接收信号强度。三种传感器类型的最优布置问题被表述为相同的参数优化问题,并在统一框架下进行分析。最近发展的框架理论被应用于最优性分析。我们证明了二维和三维中最优布置的充要条件。进一步探讨了最优布置的一些重要解析性质。为了验证解析分析,我们提出了一种梯度控制律,可以数值构造一般的最优布置。

英文摘要:

This paper analytically characterizes optimal sensor placements for target localization and tracking in 2D and 3D. Three types of sensors are considered: bearing-only, range-only, and received-signal-strength. The optimal placement problems of the three sensor types are formulated as an identical parameter optimization problem and consequently analyzed in a unified framework. Recently developed frame theory is applied to the optimality analysis. We prove necessary and sufficient conditions for optimal placements in 2D and 3D. A number of important analytical properties of optimal placements are further explored. In order to verify the analytical analysis, we present a gradient control law that can numerically construct generic optimal placements.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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