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On Anti-symmetry in Multiple Target Tracking

: Koch, W.


Institute of Electrical and Electronics Engineers -IEEE-:
21st International Conference on Information Fusion, FUSION 2018 : 10-13 July 2018, Cambridge, United Kingdom
Piscataway, NJ: IEEE, 2018
ISBN: 978-1-5386-4330-3
ISBN: 978-0-9964527-6-2
ISBN: 978-0-9964527-7-9
International Conference on Information Fusion (FUSION) <21, 2018, Cambridge>
Fraunhofer FKIE ()

The notion of indistinguishable targets is well-established in advanced target tracking. Conceptually, it is rooted in quantum physics where functions of joint particle states are considered that are either symmetric or anti-symmetric under permutation of the particle labels. This symmetry dichotomy explains why two disjunct classes of particles exist in nature: bosons and fermions. Besides symmetry, also anti-symmetry has a place in multiple target tracking as we will show, leading to well-defined probability density functions describing the joint target states. Inbuilt anti-symmetry implies a target tracking version of Pauli'sexclusion principle: Real world targets are “fermions” that cannot exist at the same time at the same place. This is of interest in dense tracking scenarios with resolution conflicts and split-off. We discuss the concept and illustrate its benefits.