• DocumentCode
    554980
  • Title

    The conditions of frame for the shift-invariant system

  • Author

    Dewu Yang ; Xiuge Zhu

  • Author_Institution
    Sch. of Math. & Stat., Henan Univ. of Sci. & Technol., Luoyang, China
  • fYear
    2011
  • fDate
    11-13 Aug. 2011
  • Firstpage
    255
  • Lastpage
    259
  • Abstract
    A necessary condition and two sufficient conditions ensuring that the shift-invariant system is a frame for L2(Rn) are established. The proofs of presented results rely on elementary properties of the periodic function and the Cauchy-Schwarz inequality. As some applications, the results are used to obtain some known conclusions about wavelet frames.
  • Keywords
    time-varying systems; wavelet transforms; Cauchy-Schwarz inequality; L2(Rn); elementary properties; periodic function; shift-invariant system; wavelet frames; Bessel sequence; Frame; dilation matrix; shift-invariant space; shift-invariant system; wavelet frame;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Advanced Mechatronic Systems (ICAMechS), 2011 International Conference on
  • Conference_Location
    Zhengzhou
  • Print_ISBN
    978-1-4577-1698-0
  • Type

    conf

  • Filename
    6025024
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=554980