Tracking of two crossing targets using bounding methods

One of the basic ambiguous situations in multitarget tracking is the scenario of two crossing targets. When two tracks are crossing each other, it may be very difficult to determine which measurement belongs to which target. In this situation, miscorrelation could occur. One of the factors causing miscorrelation is the noise additive to the observations. Given the noise bounds and a state-variable model for the target dynamics and observation process, each observation yields bounds on the state of the target. As more observations are made, the new state bounds cause the uncertainty in target state to contract. Alternatively, the track parameters such as initial position, velocity and acceleration may be bounded and bounds on the target´s state at any instant inferred from them. A particular type of bounding method is the ellipsoidal bounding method introduced by Schweppe (1968) and further developed by Fogel and Huang (1982). Ellipsoidal bounding is in fact a sequential process. In the present investigation, ellipsoidal bounding is applied for target motion in one dimension