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Estimation of Parameters of an Inhomogeneous Dielectric Layer
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. (Signaler och vågor)ORCID iD: 0000-0002-7018-6248
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. (Signaler och vågor)
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. (Signaler och vågor)
2009 (English)In: Mathematical Modeling of Wave phenomena.: 3rd Conference on Mathematical Modelling of Wave Phenomena, Växjö, Sweden, 9 – 13 June 2008, Melville, New York: American Institute of Physics , 2009, p. 94-103Conference paper, Published paper (Refereed)
Abstract [en]

 

This paper presents a general framework for sensitivity analysis for fewparameter inverse problems using the Fisher information and the Cram´er-Rao bound. In particular, the one-dimensional inverse problem of estimating the dispersive parameters of an inhomogeneous dielectric layer with linear spatial variation is studied. The analysis technique is particularly well-suited for inverse problems using few parameters, and it is anticipated that the framework may be used as a basis for extensive numerical investigations and physical interpretations. The ill-posedness of the inverse problem can be explicitely quantified by using the Fisher information analysis. As an example, the sensitivity analysis is used together with asymptotic theory to show that the inverse problem becomes extremely ill-posed when the linear spatial variation vanishes.

 

Place, publisher, year, edition, pages
Melville, New York: American Institute of Physics , 2009. p. 94-103
Series
AIP Conference Proceeding, ISSN 0094-243X ; 1106
Keywords [en]
Inverse problems, Fisher information
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering Other Physics Topics Computational Mathematics
Research subject
Physics, Electrotechnology; Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:vxu:diva-4904ISBN: 978-0-7354-0643-8 (print)OAI: oai:DiVA.org:vxu-4904DiVA, id: diva2:209028
Available from: 2009-03-23 Created: 2009-03-23 Last updated: 2017-01-10Bibliographically approved

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Nordebo, SvenNilsson, BörjeLindhe, Oscar

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
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