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Type: Journal article
Title: Optimal linear estimation and data fusion
Author: Elliott, R.
Van Der Hoek, J.
Citation: IEEE Transactions on Automatic Control, 2006; 51(4):686-689
Publisher: IEEE-Inst Electrical Electronics Engineers Inc
Issue Date: 2006
ISSN: 0018-9286
Statement of
Elliott, R.J. ; van der Hoek, J.
Abstract: Optimal mean square linear estimators are determined for general uncorrelated noise. We allow the noise variance matrix in the observation process to be singular. This requires properties of generalized inverses which are developed in Section II. The proofs appear to be new. When there are two observation sequences the optimal method of recursively fusing the two is determined. We derive a new formula for the covariance of the two estimates which then provides exact dynamics for a fused estimate.
Keywords: data fusion
optimal linear estimation
Description: ©2006 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
DOI: 10.1109/TAC.2006.872768
Published version:
Appears in Collections:Applied Mathematics publications
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