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

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 u...

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Main Authors: Yan Zhou, Dongli Wang, Tingrui Pei, Shujuan Tian
Format: Article
Language:English
Published: Wiley 2014-04-01
Series:International Journal of Distributed Sensor Networks
Online Access:https://doi.org/10.1155/2014/393802
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author Yan Zhou
Dongli Wang
Tingrui Pei
Shujuan Tian
author_facet Yan Zhou
Dongli Wang
Tingrui Pei
Shujuan Tian
author_sort Yan Zhou
collection DOAJ
description 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 (coR 2 KF) scheme with weighted matrices on innovation sequences is introduced as local estimator. It is shown that the proposed coR 2 KF 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 coR 2 KF and the effectiveness of IEAF strategy, a simulation example of tracking a target moving on noisy circular trajectories is included.
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institution Kabale University
issn 1550-1477
language English
publishDate 2014-04-01
publisher Wiley
record_format Article
series International Journal of Distributed Sensor Networks
spelling doaj-art-874e55ebd1bb45199a5f8f0673b10e832025-02-03T06:42:58ZengWileyInternational Journal of Distributed Sensor Networks1550-14772014-04-011010.1155/2014/393802393802Robust Estimation Fusion in Wireless Senor Networks with Outliers and Correlated NoisesYan Zhou0Dongli Wang1Tingrui Pei2Shujuan Tian3 Key Laboratory of Intelligent Computing & Information Processing of MOE, Xiangtan University, Xiangtan 411105, China College of Information Engineering, Xiangtan University, Xiangtan 411105, China College of Information Engineering, Xiangtan University, Xiangtan 411105, China College of Information Engineering, Xiangtan University, Xiangtan 411105, ChinaThis 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 (coR 2 KF) scheme with weighted matrices on innovation sequences is introduced as local estimator. It is shown that the proposed coR 2 KF 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 coR 2 KF and the effectiveness of IEAF strategy, a simulation example of tracking a target moving on noisy circular trajectories is included.https://doi.org/10.1155/2014/393802
spellingShingle Yan Zhou
Dongli Wang
Tingrui Pei
Shujuan Tian
Robust Estimation Fusion in Wireless Senor Networks with Outliers and Correlated Noises
International Journal of Distributed Sensor Networks
title Robust Estimation Fusion in Wireless Senor Networks with Outliers and Correlated Noises
title_full Robust Estimation Fusion in Wireless Senor Networks with Outliers and Correlated Noises
title_fullStr Robust Estimation Fusion in Wireless Senor Networks with Outliers and Correlated Noises
title_full_unstemmed Robust Estimation Fusion in Wireless Senor Networks with Outliers and Correlated Noises
title_short Robust Estimation Fusion in Wireless Senor Networks with Outliers and Correlated Noises
title_sort robust estimation fusion in wireless senor networks with outliers and correlated noises
url https://doi.org/10.1155/2014/393802
work_keys_str_mv AT yanzhou robustestimationfusioninwirelesssenornetworkswithoutliersandcorrelatednoises
AT dongliwang robustestimationfusioninwirelesssenornetworkswithoutliersandcorrelatednoises
AT tingruipei robustestimationfusioninwirelesssenornetworkswithoutliersandcorrelatednoises
AT shujuantian robustestimationfusioninwirelesssenornetworkswithoutliersandcorrelatednoises