基于Fisher信息矩阵的多目标最优传感器配置

Multi-objective Optimal Sensor Deployment Based on Fisher Information Matrix

考虑到在复杂战场下,传感器部署对敌我双方的态势感知有较大影响,针对使用多信号接收强度传感器对三维目标感知时的传感器最优部署问题,采用费舍尔信息矩阵(Fisher Information Matrix,FIM)的行列式作为最优性能指标,给出了多传感器执行单目标感知任务时的最优部署几何构型.进一步导出了多传感器在三维情形下的FIM行列式的显式表达.基于该显式表达,得到多目标感知的传感器最优分配以及传感器最优部署几何构型.该方法实现了对敌方目标的精确感知,弥补了因感知误差导致的对战场形势的误判.数值仿真验证了结果的有效性.

Considering that the deployment of sensors in a complex battlefield has a significant impact on situation awareness of both sides on the battlefield,for the three-dimensional(3D)optimal deployment problem of multiple targets awareness using multiple sensors,optimal deployment of multi-sensor for multi-target awareness is derived by using the determinant of Fisher Information Matrix(FIM)as the optimal performance index.The explicit expressions of FIM determinant of 3D sensor-target geometry are derived.Based on this explicit expression,the optimal allocation of the multiple sensors for the multi-target awarene nsors are derived.This method realizes accurate awareness of enemy target and makes up for misjudgment ofbattlefield situation caused by awareness error.Numerical simulation verifies the results.