• DocumentCode
    719250
  • Title

    Prolate shift frames and their duals

  • Author

    Hogan, Jeffrey A. ; Lakey, Joseph D.

  • Author_Institution
    Sch. of Math. & Phys. Sci., Univ. of Newcastle, Callaghan, NSW, Australia
  • fYear
    2015
  • fDate
    25-29 May 2015
  • Firstpage
    115
  • Lastpage
    119
  • Abstract
    We investigate frames for the Paley-Wiener space PWΩ of square-integrable functions bandlimited to [-Ω/2, Ω/2] generated by translates φn (t - αℓ) of prolate spheroidal wave-functions ψn (where α > 0 and ℓ is an integer). We estimate frame bounds and give a Fourier construction of the dual frames. An ℓ2 estimate on the decay of uniform samples of prolate functions is given to show that the computation of the duals can be done efficiently.
  • Keywords
    Fourier transforms; signal reconstruction; signal sampling; Fourier construction; Paley-Wiener space; prolate shift frames; Australia; Bandwidth; Eigenvalues and eigenfunctions; Fourier transforms; Hilbert space; Limiting; Wave functions;
  • 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.2015.7148862
  • Filename
    7148862
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=719250