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A time-frequency density criterion for operator identification
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0001-7620-9386
School of Engineering and Science, Jacobs University Bremen.
Fachbereich Mathematik und Informatik, Philipps-Universität Marburg.
2013 (English)In: Sampling Theory in Signal and Image Processing, ISSN 1530-6429, Vol. 12, no 1Article in journal (Refereed) Published
Abstract [en]

We discuss necessary and sufficient density conditions for the identifiability of time–frequency localized operators. In particular, we give a necessary density condition for identifiability based on the density criterion for Gabor frames and Riesz bases in the space of square integrable functions.

Abstract [en]

We establish a necessary density criterion for the identifiability of timefrequency structured classes of Hilbert-Schmidt operators. The density condition is based on the density criterion for Gabor frames and Riesz bases in the space of square integrable functions. We complement our findings with examples of identifiable operator classes

Place, publisher, year, edition, pages
2013. Vol. 12, no 1
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-28473Scopus ID: 84897078778Local ID: 248918df-c2dd-4f9d-8117-09cd4e2f1be1OAI: oai:DiVA.org:ltu-28473DiVA, id: diva2:1001671
Conference
International Conference on Sampling Theory and Applications : 02/05/2011 - 06/05/2011
Note
Godkänd; 2014; 20111024 (grip); Konferensartikel i tidskriftAvailable from: 2016-09-30 Created: 2016-09-30 Last updated: 2017-11-30Bibliographically approved

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