Analytical performance evaluation of association of active and passive tracks for airborne sensors

An association algorithm for tracks generated by active and passive sensors was presented and its performance in terms of the probability of correct and false association was analytically evaluated by Farina and Miglioli (Signal Process. 69(3) (1998) 209). Based on the work in Farina and Miglioli, this paper concentrates on the derivation of simplified performance evaluation formula for deterministic target trajectories. The main contribution of this paper is: (a) the simplified formula of false association probability for a fixed value of correct association probability is presented, and (b) the simplified formula of correct association probability for a fixed value of false association probability is also derived. The advantage of the work is that the performance evaluation can be done with simple calculation instead of performing integral and using trial-and-error method. Numerical results and comparisons show that the presented methods are feasible and effective.