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Identification of time-frequency localized operators
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0001-7620-9386
Jacobs University, Bremen.
Jacobs University, Bremen.
2010 (English)Report (Other academic)
Abstract [en]

We consider identi cation of operator families de ned via a time-frequency series expansion of the operator spreading function. The identi cation problem is transformed into an in nite-dimensional linear algebra problem. Our aim is to establish a connection between the identi ability of the operator family and a density measure of the time-frequency index set. In this way, the identi cation problem can be compared to the classical density condition for existence of Gabor frames. The conclusion is that the relationship between identi ability of such operator families and the \critical" density is highly intricate because of the presence of additional conditions. Criteria for identi ability are developed for families of time-frequency localized operators de ned via time-frequency series expansions of the spreading function based on the Gaussian function

Place, publisher, year, edition, pages
Bremen: Jacobs University , 2010. , 75 p.
Series
Technical Report, School of Engineering and Science, 22
Keyword [en]
Information technology - Telecommunication
Keyword [sv]
Informationsteknik - Telekommunikation
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-21934Local ID: 0c91efd0-ba8d-11df-a707-000ea68e967bOAI: oai:DiVA.org:ltu-21934DiVA: diva2:994982
Note
Godkänd; 2010; 20100907 (grip)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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http://math.jacobs-university.de/pfander/pubs/Identification.pdf

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CiteExportLink to record
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Citation style
  • apa
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  • nn-NB
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Output format
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