Optimal AOA Sensor-Source Geometry With Deployment Region Constraints

Abstract

Considering some communication or security requirements, the sensors cannot be deployed randomly. In order to improve the localization accuracy, we discuss the <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">optimal geometry problem</i> with some constraints: 1) the source and the sensors are restricted to be deployed inside a circular region; 2) the relative sensor-source distance must be greater than the minimum safety distance. The optimal geometry problem can be summarized as a constrained optimization problem, with D-optimality as its objective function, the deployment feasible region as constraints. To avoid complicated mathematical calculations, our primary idea is to establish equivalent and more intuitive constraints by using the introduced maximum feasible angle and optimal separation angle.