Identification of time-frequency localized operatorsReport as inadecuate




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Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.Pfander, Götz E. Jacobs University, Bremen.Rashkov, Peter 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

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: 2016-09-29Bibliographically approved



Author: Grip, Niklas

Source: http://ltu.diva-portal.org/







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