Robust Estimation Fusion in Wireless Senor Networks with Outliers and Correlated Noises

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Abstract
This paper addresses the problem of estimation fusion in a distributed wireless sensor network (WSN) under the following conditions: (i) sensor noises are contaminated by outliers or gross errors; (ii) process noise and sensor noises are correlated; (iii) cross-correlation among local estimates is unknown. First, to attack the correlation and outliers, a correlated robust Kalman filtering (coR2KF) scheme with weighted matrices on innovation sequences is introduced as local estimator. It is shown that the proposed coR2KF takes both conventional Kalman filter and robust Kalman filter as a special case. Then, a novel version of our internal ellipsoid approximation fusion (IEAF) is used in the fusion center to handle the unknown cross-correlation of local estimates. The explicit solution to both fusion estimate and corresponding covariance is given. Finally, to demonstrate robustness of the proposed coR2KF and the effectiveness of IEAF strategy, a simulation example of tracking a target moving on noisy circular trajectories is included.
Funding Information
  • National Natural Science Foundation of China (61104210, 61100140, 61070180, 61372049, 2012TP4032-6)
  • National Natural Science Foundation of China (61104210, 61100140, 61070180, 61372049, 2012TP4032-6)
  • National Natural Science Foundation of China (61104210, 61100140, 61070180, 61372049, 2012TP4032-6)
  • National Natural Science Foundation of China (61104210, 61100140, 61070180, 61372049, 2012TP4032-6)
  • Project of Science & Technology Department of Hunan (61104210, 61100140, 61070180, 61372049, 2012TP4032-6)

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