NDLI: Static field estimation using a wireless sensor network based on the finite element method

Content Provider	IEEE Xplore Digital Library
Author	van Waterschoot, T. Leus, G.
Copyright Year	2011
Description	Author affiliation: Department of Electrical Engineering (ESAT-SCD), Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, 3001, Belgium (van Waterschoot, T.) \|\| Faculty of EEMCS, Delft University of Technology (TU Delft), Mekelweg 4, 2628 CD, The Netherlands (Leus, G.)
Abstract	In this paper, we propose a novel framework for field estimation in a wireless sensor network (WSN). The fundamental problem of estimating field values at locations where no WSN measurements are available is tackled by including a physical field model in the form of a partial differential equation (PDE). If the PDE is discretized in the spatiotemporal domain by use of the finite element method (FEM), then the physical field model reduces to a set of linear equations that can be elegantly combined with the WSN field measurements in a constrained optimization problem. In contrast to existing approaches, we do not require the driving source function or the locations of point sources to be known. Instead, we assume limited prior knowledge on the nature of the field and/or source functions, such as a sparsity or nonnegativity prior, for obtaining a unique solution of the otherwise underdetermined problem of joint field and source estimation. Within the proposed framework, we derive a cooperative estimation algorithm for static 2-D fields governed by a Poisson PDE. Simulation results illustrate that a significant improvement in field estimation accuracy can be obtained, compared to the cases when only WSN measurements (without a physical model) or only the FEM (without WSN measurements) are used.
Starting Page	369
Ending Page	372
File Size	255120
Page Count	4
File Format	PDF
ISBN	9781457721045
e-ISBN	9781457721052
DOI	10.1109/CAMSAP.2011.6136028
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-12-13
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Wireless sensor networks Heuristic algorithms Estimation Finite element methods Mathematical model Equations Optimization
Content Type	Text
Resource Type	Article

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