On the value of collaboration in multidimensional location estimation

机译：论协作在多维位置估计中的价值

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In this paper, we investigate the benefit of inter-node collaboration in multidimensional location estimation. In particular, for networks with reference nodes at known locations and source nodes whose locations are unknown and to be estimated, we establish the value of collaboration for source node position estimation by presenting proof of a decreasing Cramér-Rao lower bound as additional source nodes (meeting some minimum connectivity requirements) are introduced into the collaborative position estimation problem. Prior work has shown this for one-dimensional location estimation; however, the previous proof as presented is not easily extendable to multidimensional location estimation. Following the completion of the proof, the minimum connectivity conditions for two-dimensional positioning using time-of-arrival and received-signal-strength ranging information are discussed. Lastly, the theoretical result is verified with numerical results through simulation.

机译：在本文中，我们研究了节点间协作在多维位置估计中的好处。特别是，对于在已知位置具有参考节点的网络以及位置未知且待估计的源节点的网络，我们通过提供降低的Cramér-Rao下限作为额外的源节点的证据来确定源节点位置估计的协作价值（满足一些最低连接要求）被引入到协作位置估计问题中。先前的工作已经针对一维位置估计显示了这一点。然而，所提供的先前证明不容易扩展到多维位置估计。证明完成后，讨论了使用到达时间和接收信号强度测距信息进行二维定位的最小连接条件。最后，通过仿真对理论结果进行了数值验证。

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《IEEE Global Communications Conference》|2014年|498-504|共7页
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Schloemann Javier; Buehrer R. Michael;
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time-of-arrival estimation; wireless sensor networks; Cramer-Rao lower bound; collaborative position estimation problem; internode collaboration; location nodes; minimum connectivity requirements; multidimensional location estimation; received-signal-strength ranging information; source node position estimation; time-of-arrival information; wireless sensor networks; Ad hoc networks; Collaboration; Distance measurement; Estimation; Peer-to-peer computing; Symmetric matrices; Vectors; Collaborative position location; Cramér-Rao bounds; localization; maximum likelihood estimation;

机译：到达时间估计;无线传感器网络; Cramer-Rao下界;协作位置估计问题;节点间协作;定位节点;最小连接要求;多维位置估计;接收信号强度测距信息;源节点位置估计;时间信息;无线传感器网络; Ad hoc网络;协作;距离测量;估计;对等计算;对称矩阵;向量;协作位置定位;Cramér-Rao边界;定位;最大似然估计;

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On the value of collaboration in multidimensional location estimation

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