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Estimating the Wigner distribution of linear time-invariant dynamical systems
KTH, School of Electrical Engineering and Computer Science (EECS), Automatic Control.
2018 (English)In: 2018 European Control Conference, ECC 2018, Institute of Electrical and Electronics Engineers (IEEE), 2018, p. 1220-1225Conference paper, Published paper (Refereed)
Abstract [en]

An estimation algorithm for the Wigner distribution (time-frequency representation) of the unmeasured states of a linear time-invariant system is presented. Given that the inputs and outputs are measured, the algorithm involves designing a Luenberger-like observer for each frequency of interest. Under noise-free conditions, we show that the es- timates converge to the true Wigner distribution under a detectability assumption on the time-frequency representation. The estimation algorithm provides estimates which converge to a neighbourhood of the true Wigner distribution where its norm is dependent on the norm of the measurement noise. We also illustrate the efficacy of the estimation algorithm on an academic example and a model of neuron populations.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2018. p. 1220-1225
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-241520DOI: 10.23919/ECC.2018.8550149Scopus ID: 2-s2.0-85059824936ISBN: 9783952426982 (print)OAI: oai:DiVA.org:kth-241520DiVA, id: diva2:1282189
Conference
16th European Control Conference, ECC 2018, Limassol, Cyprus, 12 June 2018 through 15 June 2018
Funder
The Crafoord FoundationSwedish Research Council
Note

QC 20190124

Available from: 2019-01-24 Created: 2019-01-24 Last updated: 2019-01-24Bibliographically approved

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Chong, Michelle

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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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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
  • rtf