This paper addresses the problem of estimation fusion in a distributed wireless sensor network (WSN) under the following\nconditions: (i) sensor noises are contaminated by outliers or gross errors; (ii) process noise and sensor noises are correlated; (iii)\ncross-correlation among local estimates is unknown. First, to attack the correlation and outliers, a correlated robustKalman filtering\n(coR2KF) scheme with weighted matrices on innovation sequences is introduced as local estimator. It is shown that the proposed\ncoR2KF takes both conventional Kalman filter and robust Kalman filter as a special case. Then, a novel version of our internal\nellipsoid approximation fusion (IEAF) is used in the fusion center to handle the unknown cross-correlation of local estimates. The\nexplicit solution to both fusion estimate and corresponding covariance is given. Finally, to demonstrate robustness of the proposed\ncoR2KF and the effectiveness of IEAF strategy, a simulation example of tracking a target moving on noisy circular trajectories is\nincluded.
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