NDLI: Can the Bayesian and Dempster-Shafer approaches be reconciled? Yes

Content Provider	IEEE Xplore Digital Library
Author	Mahler, R.
Copyright Year	2005
Description	Author affiliation: Lockheed Martin MS2 Tactical Syst., Eagan, MN, USA (Mahler, R.)
Abstract	This paper describes a unified approach to the problem of estimating the states of one or more targets, based on fusion of accumulating multisource information which can take one of two forms: ambiguous measurements or ambiguous state-estimates. We show that, as most commonly employed, Dempster-Shafer (DS) fusion methods can be subsumed within the Bayesian theory. Specifically, we show that the following are equivalent to fusion using Bayes' rule: (I) fusion of ambiguous measurements using Dempster's combination rule; and (2) fusion of ambiguous state-estimates using the Fixsen-Mahler "modified" combination. We show that the Voorbraak and pignistic transforms can be understood as posterior probability densities conditioned on, respectively, ambiguous measurements and ambiguous state-estimates. Our approach is based on natural extensions of the recursive Bayes filter. We also derive closed-form formulas for one type of single-target "evidential filter" and briefly show how it can be incorporated into multi-hypothesis multitarget tracker techniques.
File Size	2284455
File Format	PDF
ISBN	0780392868
DOI	10.1109/ICIF.2005.1591949
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-07-25
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Bayesian methods Radar tracking Equations Extraterrestrial measurements Filters Kinematics Fuzzy logic Motion measurement State estimation Density measurement random sets Bayes filter Dempster-Shafer
Content Type	Text
Resource Type	Article

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