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Passive Approximation with High-Order B-Splines
Linnaeus University, Faculty of Technology, Department of Physics and Electrical Engineering.
Linnaeus University, Faculty of Technology, Department of Physics and Electrical Engineering.ORCID iD: 0000-0002-7018-6248
2019 (English)In: Analysis, Probability, Applications, and Computation / [ed] Karl‐Olof Lindahl, Torsten Lindström, Luigi G. Rodino, Joachim Toft, Patrik Wahlberg, Birkhäuser Verlag, 2019, p. 83-94Conference paper, Published paper (Refereed)
Abstract [en]

Convex optimization has emerged as a well-suited tool for passive approximation. Here, it is desired to approximate some pre-defined non-trivial system response over a given finite frequency band by using a passive system. This paper summarizes some explicit results concerning the Hilbert transform of general B-splines of arbitrary order and arbitrary partitions that can be useful with the convex optimization formulation. A numerical example in power engineering is included concerning the identification of some model parameters based on measurements on high-voltage insulation materials.

Place, publisher, year, edition, pages
Birkhäuser Verlag, 2019. p. 83-94
Series
Trends in Mathematics, ISSN 2297-0215, E-ISSN 2297-024X
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-82770DOI: 10.1007/978-3-030-04459-6_8Scopus ID: 2-s2.0-85065446429ISBN: 978-3-030-04458-9 (print)ISBN: 978-3-030-04459-6 (electronic)OAI: oai:DiVA.org:lnu-82770DiVA, id: diva2:1318323
Conference
11th ISAAC Congress, Växjö (Sweden) 2017
Available from: 2019-05-27 Created: 2019-05-27 Last updated: 2019-08-29Bibliographically approved

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Ivanenko, YevhenNordebo, Sven

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
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  • Other style
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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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