Robust linear estimation fusion with allowable unknown cross-covariance

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Abstract

This paper deals with distributed estimation fusion under unknown cross-covariance between errors of local estimates. We propose a constraint to restrict the set of possible cross-covariance matrices first. Then this constraint, named allowance degree of cross-covariance, is used to derive a fusion method. Based on the allowance degree, we present an optimal robust fusion method in the minimax sense via semi-definite programming and also a suboptimal fusion. We analyze the properties of the proposed fusion methods and describe the relationship between the suboptimal fusion and some existing fusion methods. Numerical examples are given to illustrate their performance compared with the traditional covariance intersection method.

Original languageEnglish
Title of host publicationFUSION 2014 - 17th International Conference on Information Fusion
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9788490123553
StatePublished - 3 Oct 2014
Externally publishedYes
Event17th International Conference on Information Fusion, FUSION 2014 - Salamanca, Spain
Duration: 7 Jul 201410 Jul 2014

Publication series

NameFUSION 2014 - 17th International Conference on Information Fusion

Conference

Conference17th International Conference on Information Fusion, FUSION 2014
Country/TerritorySpain
CitySalamanca
Period7/07/1410/07/14

Keywords

  • Estimation fusion
  • covariance intersection
  • minimax
  • robust fusion
  • semi-definite programming

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