• DocumentCode
    719256
  • Title

    Duality results for co-compact Gabor systems

  • Author

    Jakobsen, Mads Sielemann ; Lemvig, Jakob

  • Author_Institution
    Dept. of Appl. Math. & Comput. Sci., Tech. Univ. of Denmark, Lyngby, Denmark
  • fYear
    2015
  • fDate
    25-29 May 2015
  • Firstpage
    144
  • Lastpage
    147
  • 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.
  • Keywords
    Gabor filters; duality (mathematics); Wexler-Raz biorthogonality relation; co-compact Gabor system; duality theory; Fourier transforms; Hilbert space; Lattices; Modulation; Size measurement; Zinc;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Sampling Theory and Applications (SampTA), 2015 International Conference on
  • Conference_Location
    Washington, DC
  • Type

    conf

  • DOI
    10.1109/SAMPTA.2015.7148868
  • Filename
    7148868
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=719256