The Optimal Layout Combination of Radar Stations in Multi-station Passive Time Difference Positioning System

Abstract

This paper investigates the problem of optimizing the selection of radar site in three-dimensional terrain for multi-site passive time-difference positioning system. First, the directness of the radar to the surveillance airspace is investigated. A judgment method based on planar convex closure is given to determine whether a terrain point obscures the radar site to be selected, based on it, a screening algorithm is given to find the region where the received signals are not blocked. Second, the problem of optimal position combination of multiple radar stations is investigated. Taking a convex polygonal surveillance airspace as the object of study, a planning model with the objective of selecting the optimal combination of radar positions is given, which takes into account the constraints on the radar’s directness to the surveillance airspace, as well as the constraints on the far bounds of the detections, and proposes a genetic algorithm for solving the model, which uses an individual coding of the real type and introduces the penalty coefficients, which transforms the constrained planning problem to an unconstrained planning problem.