This paper focuses on static source localization employing different combinations of measurements, including time-difference-of-arrival (TDOA), received-signal-strength (RSS), angle-of-arrival (AOA), and time-of-arrival (TOA) measurements. Since sensor-source geometry significantly impacts localization accuracy, the strategies of optimal sensor placement are proposed systematically using combinations of hybrid measurements. Firstly, the relationship between sensor placement and source estimation accuracy is formulated by a derived Cram\'er-Rao bound (CRB). Secondly, the A-optimality criterion, i.e., minimizing the trace of the CRB, is selected to calculate the smallest reachable estimation mean-squared-error (MSE) in a unified manner. Thirdly, the optimal sensor placement strategies are developed to achieve the optimal estimation bound. Specifically, the specific constraints of the optimal geometries deduced by specific measurement, i.e., TDOA, AOA, RSS, and TOA, are found and discussed theoretically. Finally, the new findings are verified by simulation studies.
翻译:本文聚焦于采用不同测量组合的静态源定位方法,包括到达时间差、接收信号强度、到达角度和到达时间测量。由于传感器-源几何构型对定位精度具有显著影响,本文系统性地提出了利用混合测量组合的最优传感器布局策略。首先,通过推导的克拉美-罗下界建立了传感器布局与源估计精度之间的数学关系。其次,选用A最优性准则,即最小化CRB的迹,以统一方式计算可达的最小估计均方误差。再次,发展了最优传感器布局策略以实现最优估计界。具体而言,本文从理论上推导并讨论了由特定测量方式(即TDOA、AOA、RSS和TOA)导出的最优几何构型所满足的特定约束条件。最后,通过仿真研究验证了新的发现。