• DocumentCode
    469012
  • Title

    A generalized multiresolution structure and multi-ple pseudoframes of translates

  • Author

    Chen, Qing-jiang ; Zhou, Jian-feng ; Shi, Zhi

  • Author_Institution
    Xi´´an Univ. of Archit. & Technol., Xi´´an
  • Volume
    2
  • fYear
    2007
  • fDate
    2-4 Nov. 2007
  • Firstpage
    918
  • Lastpage
    923
  • Abstract
    The definition of multiple pseudoframes for subspaces is given. The notion of a Generalized Multiresolution Structure(GMS) of L2(R) is introduced. The construction of a GMS of Paley-Wiener subspaces of L2(R) is investigated. The sufficient condition for the existence of multiple pseudoframes for subspaces is derived based on such a GMS.
  • Keywords
    Hilbert spaces; signal resolution; Hilbert space; Paley-Wiener subspaces; generalized multiresolution structure; multiple pseudoframes; Educational institutions; Fourier series; Fourier transforms; Hilbert space; Notice of Violation; Pattern analysis; Pattern recognition; Signal processing; Signal resolution; Wavelet analysis; Generalized multiresolution structure; affine frames; multiple pseudoframes;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Wavelet Analysis and Pattern Recognition, 2007. ICWAPR '07. International Conference on
  • Conference_Location
    Beijing
  • Print_ISBN
    978-1-4244-1065-1
  • Electronic_ISBN
    978-1-4244-1066-8
  • Type

    conf

  • DOI
    10.1109/ICWAPR.2007.4420800
  • Filename
    4420800