• DocumentCode
    771727
  • Title

    Perturbation of Regular Sampling in Shift-Invariant Spaces for Frames

  • Author

    Zhao, Ping ; Zhao, Chun ; Casazza, Peter G.

  • Author_Institution
    Beijing Jiaotong Univ.
  • Volume
    52
  • Issue
    10
  • fYear
    2006
  • Firstpage
    4643
  • Lastpage
    4648
  • Abstract
    Perturbation theorems for regular sampling in shift-invariant spaces are derived using a generalized perturbation theorem for frames in a Hilbert space, which generalizes the irregular sampling theorem established by Chen Using this generalized irregular sampling theorem, estimates for the maximum perturbation are obtained. Some typical examples illustrate the result
  • Keywords
    Hilbert spaces; signal sampling; Hilbert space; regular sampling perturbation theorem; shift-invariant space; Digital communication; Estimation theory; Hilbert space; Image processing; Image reconstruction; Image sampling; Mathematics; Sampling methods; Signal processing; Signal sampling; Frame; Riesz basis; irregular sampling; perturbation; sampling; wavelets;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2006.881704
  • Filename
    1705022
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=771727