Optimal TOA-Sensor Placement for Two Target Localization Simultaneously Using Shared Sensors
Optimal TOA-Sensor Placement for Two Target Localization Simultaneously Using Shared Sensors
复制标题
使用共享传感器同时定位两个目标的最佳 TOA 传感器放置
DOI：
10.1109/lcomm.2021.3083058
复制
发表时间：
2021-08-01
期刊：
影响因子：
--
通讯作者：
Rice, Feng
中科院分区：
文献类型：
--
作者：
Xu, Sheng;Rice, Mark;Rice, Feng
This letter analyses the optimal placement of sensors for the simultaneous localization of two targets on the 2-dimensional (2-D) plane. Multiple sensors measure circular time-of-arrival (TOA) signals with a high signal to noise ratio (SNR). The case considered is where there are <inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula> shared sensors measuring both targets and <inline-formula> <tex-math notation="LaTeX">$m$ </tex-math></inline-formula> sensors for each individual target, giving a total of <inline-formula> <tex-math notation="LaTeX">$n+2m$ </tex-math></inline-formula> sensors. In this case, the minimum trace of the inverse Fisher information matrix (FIM), i.e., Cramér-Rao lower bound (CRLB), is <inline-formula> <tex-math notation="LaTeX">$2\sigma ^{2}/(n+m)$ </tex-math></inline-formula>. A placement scheme for the sensors is presented which achieves the tr(CRLB) of the optimal sensor-target geometry. This confirms the intuitive result that optimal sensor placement can occur when shared sensors are on the middle line between the two targets. Simulation examples demonstrate the effectiveness of the placement scheme with different geometries.
