• DocumentCode
    1433570
  • Title

    A sampling theorem for shift-invariant subspace

  • Author

    Chen, Wen ; Itoh, Shuichi

  • Author_Institution
    Dept. of Inf. Network Sci., Univ. of Electro-Commun., Tokyo, Japan
  • Volume
    46
  • Issue
    10
  • fYear
    1998
  • fDate
    10/1/1998 12:00:00 AM
  • Firstpage
    2822
  • Lastpage
    2824
  • Abstract
    A sampling theorem for regular sampling in shift-invariant subspaces is established. The sufficient-necessary condition for which it holds is found. Then, the theorem is modified to the shift sampling in shift-invariant subspaces by using the Zak transform. Finally, some examples are presented to show the generality of the theorem
  • Keywords
    Z transforms; signal sampling; Zak transform; regular sampling; sampling theorem; shift sampling; shift-invariant subspace; sufficient-necessary condition; Constraint theory; Discrete Fourier transforms; Discrete transforms; Electronic mail; Fourier transforms; Information systems; Multiresolution analysis; Sampling methods; Signal processing; Signal sampling;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.720386
  • Filename
    720386
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1433570