%0 Journal Article
%T Optimal Sensor Placement for Target Localization and Tracking in 2D and 3D
%A Shiyu Zhao
%A Ben M. Chen
%A Tong H. Lee
%J Mathematics
%D 2012
%I arXiv
%R 10.1080/00207179.2013.792606
%X 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.
%U http://arxiv.org/abs/1210.7397v1