Algebraic analysis of data fusion with ellipsoidal intersection

Algebraic analysis of data fusion with ellipsoidal intersection

Noack, B.
Sijs, J.
Hanebeck, U.D.

2017

For decentralized fusion problems, ellipsoidal intersection has been proposed as an efficient fusion rule that provides less conservative results as compared to the well-know ovariance intersection method. Ellipsoidal intersection relies on the computation of a common estimate that is shared by the estimates to be fused. In this paper, an algebraic reformulation of ellipsoidal intersection is discussed that circumvents the computation of the common estimate. It is shown that ellipsoidal intersection corresponds to an internal ellipsoidal approximation of the intersection of covariance ellipsoids. An interesting result is that ellipsoidal intersection can be computed with the aid of the Bar-Shalom/Campo fusion formulae. This is achieved by assuming a specific correlation structure between the estimates to be fused.

2015 Observation, Weapon & Protection Systems
AS - Acoustics & Sonar
TS - Technical Sciences
Data fusion
Intelligent systems
Algebraic analysis
Correlation structure
Covariance intersection
Ellipsoidal approximations
Ellipsoidal intersections
Fusion rule
Algebra

http://resolver.tudelft.nl/uuid:ebca27b5-5299-41db-a8e3-186a47f11e27

753484

Institute of Electrical and Electronics Engineers Inc.

9781467397087

2016 IEEE lnternational Conference on Multisensor Fusion and Integration for Intelligent Systems, MFI 2016. 19 September 2016 through 21 September 2016, 365-370

7849515

conference paper