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: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/717504 |
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| _version_ | 1832552993177731072 |
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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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