Sparsity-promoting sensor selection for nonlinear measurement models

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Title: Sparsity-promoting sensor selection for nonlinear measurement models
Authors: Sundeep Prabhakar Chepuri, Student Member, Geert Leus
Contributors: The Pennsylvania State University CiteSeerX Archives
Source: http://ens.ewi.tudelft.nl/pubs/sundeep15tsp.pdf.
Publication Year: 2013
Collection: CiteSeerX
Subject Terms: sensor placement
Description: —The problem of choosing the best subset of sensors that guarantees a certain estimation performance is referred to as sensor selection. In this paper, we focus on observations that are related to a general non-linear model. The proposed framework is valid as long as the observations are independent, and its likelihood satisfies the regularity conditions. We use several functions of the Cramér–Rao bound (CRB) as a performance measure. We formu-late the sensor selection problem as the design of a sparse vector, which in its original form is a nonconvex-(quasi) norm optimiza-tion problem. We present relaxed sensor selection solvers that can be efficiently solved in polynomial time. The proposed solvers re-sult in sparse sensing techniques. We also propose a projected sub-gradient algorithm that is attractive for large-scale problems. The developed theory is applied to sensor placement for localization. Index Terms—Convex optimization, Cramér–Rao bound, non-linear models, projected subgradient algorithm, sensor networks
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  Data: Sparsity-promoting sensor selection for nonlinear measurement models
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  Data: <searchLink fieldCode="AR" term="%22Sundeep+Prabhakar+Chepuri%22">Sundeep Prabhakar Chepuri</searchLink><br /><searchLink fieldCode="AR" term="%22Student+Member%22">Student Member</searchLink><br /><searchLink fieldCode="AR" term="%22Geert+Leus%22">Geert Leus</searchLink>
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  Data: The Pennsylvania State University CiteSeerX Archives
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  Data: <i>http://ens.ewi.tudelft.nl/pubs/sundeep15tsp.pdf</i>.
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  Data: —The problem of choosing the best subset of sensors that guarantees a certain estimation performance is referred to as sensor selection. In this paper, we focus on observations that are related to a general non-linear model. The proposed framework is valid as long as the observations are independent, and its likelihood satisfies the regularity conditions. We use several functions of the Cramér–Rao bound (CRB) as a performance measure. We formu-late the sensor selection problem as the design of a sparse vector, which in its original form is a nonconvex-(quasi) norm optimiza-tion problem. We present relaxed sensor selection solvers that can be efficiently solved in polynomial time. The proposed solvers re-sult in sparse sensing techniques. We also propose a projected sub-gradient algorithm that is attractive for large-scale problems. The developed theory is applied to sensor placement for localization. Index Terms—Convex optimization, Cramér–Rao bound, non-linear models, projected subgradient algorithm, sensor networks
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      – TitleFull: Sparsity-promoting sensor selection for nonlinear measurement models
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