Bayesian target selection after group pattern distortion

Neil J. Gordon; David J. Salmond

doi:10.1117/12.241191

31 May 1996 Bayesian target selection after group pattern distortion

Neil J. Gordon, David J. Salmond

Proceedings Volume 2759, Signal and Data Processing of Small Targets 1996; (1996) https://doi.org/10.1117/12.241191
Event: Aerospace/Defense Sensing and Controls, 1996, Orlando, FL, United States

Abstract

The following problem is considered: a group of point targets is observed via an imperfect sensor and one of the measurements chosen. The measurements of each target position is corrupted by an independent error, although every object is detected. Two processes then act to move and distort the group: one is a bulk effect that acts equally on all members of the group while the other is independent for each target. The group is observed again by a (possibly different) imperfect sensor which may not detect every target. The problem is to construct the posterior distribution of the chosen target's position, given the two sets of measurements. Probability models of the sensors and of the pattern distortion processes are assumed to be available. A formal general solution has been obtained for this problem. For the special linear-Gaussian case this reduces to a closed form analytic expression. To facilitate implementation, a hypothesis pruning technique is given. A simulation example illustrating performance is provided.

Citation Download Citation

Neil J. Gordon and David J. Salmond "Bayesian target selection after group pattern distortion", Proc. SPIE 2759, Signal and Data Processing of Small Targets 1996, (31 May 1996); https://doi.org/10.1117/12.241191

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