On Kalman Smoothing for Wireless Sensor Networks Systems with Multiplicative Noises

The paper deals with Kalman (or H2) smoothing problem for wireless sensor networks (WSNs) with multiplicative noises. Packet loss occurs in the observation equations, and multiplicative noises occur both in the system state equation and the observation equations. The Kalman smoothers which include...

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Main Authors: Xiao Lu, Haixia Wang, Xi Wang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/717504
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author Xiao Lu
Haixia Wang
Xi Wang
author_facet Xiao Lu
Haixia Wang
Xi Wang
author_sort Xiao Lu
collection DOAJ
description The paper deals with Kalman (or H2) smoothing problem for wireless sensor networks (WSNs) with multiplicative noises. Packet loss occurs in the observation equations, and multiplicative noises occur both in the system state equation and the observation equations. The Kalman smoothers which include Kalman fixed-interval smoother, Kalman fixedlag smoother, and Kalman fixed-point smoother are given by solving Riccati equations and Lyapunov equations based on the projection theorem and innovation analysis. An example is also presented to ensure the efficiency of the approach. Furthermore, the proposed three Kalman smoothers are compared.
format Article
id doaj-art-89fbf69a987d47d4929802dcfdcd17fe
institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-89fbf69a987d47d4929802dcfdcd17fe2025-02-03T05:57:11ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/717504717504On Kalman Smoothing for Wireless Sensor Networks Systems with Multiplicative NoisesXiao Lu0Haixia Wang1Xi Wang2Key Laboratory for Robot & Intelligent Technology of Shandong Province, Shandong University of Science and Technology, Qingdao 266510, ChinaKey Laboratory for Robot & Intelligent Technology of Shandong Province, Shandong University of Science and Technology, Qingdao 266510, ChinaKey Laboratory for Robot & Intelligent Technology of Shandong Province, Shandong University of Science and Technology, Qingdao 266510, ChinaThe paper deals with Kalman (or H2) smoothing problem for wireless sensor networks (WSNs) with multiplicative noises. Packet loss occurs in the observation equations, and multiplicative noises occur both in the system state equation and the observation equations. The Kalman smoothers which include Kalman fixed-interval smoother, Kalman fixedlag smoother, and Kalman fixed-point smoother are given by solving Riccati equations and Lyapunov equations based on the projection theorem and innovation analysis. An example is also presented to ensure the efficiency of the approach. Furthermore, the proposed three Kalman smoothers are compared.http://dx.doi.org/10.1155/2012/717504
spellingShingle Xiao Lu
Haixia Wang
Xi Wang
On Kalman Smoothing for Wireless Sensor Networks Systems with Multiplicative Noises
Journal of Applied Mathematics
title On Kalman Smoothing for Wireless Sensor Networks Systems with Multiplicative Noises
title_full On Kalman Smoothing for Wireless Sensor Networks Systems with Multiplicative Noises
title_fullStr On Kalman Smoothing for Wireless Sensor Networks Systems with Multiplicative Noises
title_full_unstemmed On Kalman Smoothing for Wireless Sensor Networks Systems with Multiplicative Noises
title_short On Kalman Smoothing for Wireless Sensor Networks Systems with Multiplicative Noises
title_sort on kalman smoothing for wireless sensor networks systems with multiplicative noises
url http://dx.doi.org/10.1155/2012/717504
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AT haixiawang onkalmansmoothingforwirelesssensornetworkssystemswithmultiplicativenoises
AT xiwang onkalmansmoothingforwirelesssensornetworkssystemswithmultiplicativenoises