• DocumentCode
    14587
  • Title

    The Finite Fractional Zak Transform

  • Author

    Lammers, Mark

  • Author_Institution
    Dept. of Math., Univ. of North Carolina at Wilmington, Wilmington, NC, USA
  • Volume
    21
  • Issue
    9
  • fYear
    2014
  • fDate
    Sept. 2014
  • Firstpage
    1064
  • Lastpage
    1067
  • Abstract
    We give a matrix form of the Zak transform in the finite setting and show it can be diagonalized with eigenvectors of the two variable time-independent Schröedinger difference equation. Using this diagonalization we produce a fractional Zak transform and illustrate the effect that it has on constant frequencies.
  • Keywords
    Fourier transforms; difference equations; eigenvalues and eigenfunctions; eigenvectors; finite fractional Zak transform; variable time independent Schroedinger difference equation; Discrete Fourier transforms; Eigenvalues and eigenfunctions; Modulation; Time-frequency analysis; Vectors; Fractional Fourier transform; Zak transform;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/LSP.2014.2324495
  • Filename
    6819110
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=14587