Bearings-only tracking analysis via information geometry

In this paper, the problem of bearings-only tracking with a single sensor is studied via the theory of information geometry, where Fisher information matrix plays the role of Riemannian metric. Under a given tracking scenario, the Fisher information distance between two targets is approximately calculated over the window of surveillance region and is compared to the corresponding Kullback Leibler divergence. It is demonstrated that both “distances” provide a contour map that describes the information difference between the location of a target and a specified point. Furthermore, an analytical result for the optimal heading of a given constant speed sensor is derived based on the the properties of statistical manifolds.