NDLI: Model-based sparse source identification

Content Provider	IEEE Xplore Digital Library
Author	Khodayi-mehr, R. Aquino, W. Zavlanos, M.M.
Copyright Year	2015
Description	Author affiliation: Dept. of Civil & Environ. Eng., Duke Univ., Durham, NC, USA (Aquino, W.) \|\| Dept. of Mech. Eng. & Mater. Sci., Duke Univ., Durham, NC, USA (Khodayi-mehr, R.; Zavlanos, M.M.)
Abstract	This paper presents a model-based approach for source identification using sparse recovery techniques. In particular, given an arbitrary domain that contains a set of unknown sources and a set of stationary sensors that can measure a quantity generated by the sources, we are interested in predicting the shape, location, and intensity of the sources based on a limited number of sensor measurements. We assume a PDE model describing the steady-state transport of the quantity inside the domain, which we discretize using the Finite Element method (FEM). Since the resulting source identification problem is underdetermined for a limited number of sensor measurements and the sought source vector is typically sparse, we employ a novel Reweighted $l_{1}$ regularization technique combined with Least Squares Debiasing to obtain a unique, sparse, reconstructed source vector. The simulations confirm the applicability of the presented approach for an Advection-Diffusion problem.
Starting Page	1818
Ending Page	1823
File Size	296169
Page Count	6
File Format	PDF
e-ISBN	9781479986842
DOI	10.1109/ACC.2015.7170997
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-07-01
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Sensors Pollution measurement Noise measurement Mathematical model Noise Finite element analysis Steady-state
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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