Duality results for co-compact Gabor systems

Mads Sielemann Jakobsen, Jakob Lemvig

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Abstract

In this paper we give an account of recent developments in the duality theory of Gabor frames. We prove the Wexler-Raz biorthogonality relations and the duality principle for co-compact Gabor systems on second countable, locally compact abelian groups G. Our presentation does not rely on the existence of uniform lattices in G.
Original languageEnglish
Title of host publicationProceedings of the 11th International Conference on Sampling Theory and Applications (SampTA 2015)
PublisherIEEE Press
Publication date2015
Pages144-147
ISBN (Print)978-1-4673-7353-1
DOIs
Publication statusPublished - 2015
Event11th International Conference on Sampling Theory and Applications - Washington, United States
Duration: 25 May 201529 May 2015
Conference number: 11
http://www.american.edu/cas/mathstat/sampta2015/index.cfm

Conference

Conference11th International Conference on Sampling Theory and Applications
Number11
CountryUnited States
CityWashington
Period25/05/201529/05/2015
Internet address

Keywords

  • Signal Processing and Analysis
  • Fourier transforms
  • Hilbert space
  • Lattices
  • Modulation
  • Size measurement
  • Zinc

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