• DocumentCode
    850118
  • Title

    Frames and sampling theorems for translation-invariant subspaces

  • Author

    Zhao, Ping ; Liu, Guizhong ; Zhao, Chun

  • Author_Institution
    Dept. of Inf. & Commun. Eng., Xi´´an Jiaotong Univ., China
  • Volume
    11
  • Issue
    1
  • fYear
    2004
  • Firstpage
    8
  • Lastpage
    11
  • Abstract
    A sampling theorem for frames in translation-invariant subspaces of L2(R) is established, which is a generalization of a result of W. Chen and S. Itoh for Riesz bases (see IEEE Trans. Sig. Processing, vol.46, p.2822-4, 1998). Then, some necessary conditions for sampling are derived for Riesz bases. Some relationships and properties are also derived about the relevant functions.
  • Keywords
    signal sampling; wavelet transforms; Riesz bases; Shannon sampling theorem; digital communication theory; digital signal processing theory; frames theorem; signal analysis; translation-invariant subspaces; wavelets; Digital signal processing; Equations; Fourier transforms; Image processing; Image sampling; Sampling methods; Signal analysis; Signal processing; Signal sampling; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/LSP.2003.819357
  • Filename
    1255911
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=850118