On Tracking Closely-Spaced Targets in a PARAFAC-Representation of the Fermionic Wave Function Formulation

Abstract

Closely spaced multi target tracking remains a challenging problem in state estimation and data fusion. A recent formulation of the problem using antisymmetric square roots of density functions, which may be interpreted as multi target wave functions, has proposed a separation of densities by means of the resulting "Pauli-Notch". In this paper, this formulation is extended for non-Gaussian posterior densities, which are given in discretized and Candecomp-/Parafac decomposed form. Such densities can be predicted by a numerical solution of the Fokker-Planck-Equation. A modified operator for the respective wave function is presented together with the Bayes recursion in order to solve state estimation based on antisymmetric wave functions.