Proceedings of the 2010 American Control Conference 2010
DOI: 10.1109/acc.2010.5531237
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State fusion with unknown correlation: Ellipsoidal intersection

Abstract: Some crucial challenges of estimation over sensor networks are reaching consensus on the estimates of different systems in the network and separating the mutual information of two estimates from their exclusive information. Current fusion methods of two estimates tend to bypass the mutual information and directly optimize the fused estimate. Moreover, both the mean and covariance of the fused estimate are fully determined by optimizing the covariance only. In contrast to that, this paper proposes a novel fusio… Show more

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Cited by 58 publications
(49 citation statements)
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“…The EI fusion method was proposed in [14] to handle the separation of the mutual information that might be included in the two local estimates. The update of the estimates is then only based on the exclusive information received to avoid incorrect and "over confident" estimates.…”
Section: Ellipsoidal Intersectionmentioning
confidence: 99%
“…The EI fusion method was proposed in [14] to handle the separation of the mutual information that might be included in the two local estimates. The update of the estimates is then only based on the exclusive information received to avoid incorrect and "over confident" estimates.…”
Section: Ellipsoidal Intersectionmentioning
confidence: 99%
“…Some existing fusion methods are found in [63,52,51]. In this survey the ellipsoidal intersection fusion method of [52,51] is presented, since it results in algebraic expressions of the fusion formulas. In brief, ellipsoidal intersection derives an explicit characterization of the (unknown) correlation a priori to deriving algebraic fusion formulas that are based on the independent parts of p i (x[k]) and p j (x[k]).…”
Section: Nearest Neighboring Weightsmentioning
confidence: 99%
“…As such, the main contribution of this paper is a proof that a DKF where each node performs a local Kalman filter followed by the state-fusion method ellipsoidal intersection (EI) of [9], is a global covariance DKF. This proof consists of deriving asymptotic bounds of the full state-covariance for each node and showing that these bounds are a function of the global sensor data available within the sensor network.…”
Section: Introductionmentioning
confidence: 99%