• DocumentCode
    512489
  • Title

    The characterization of a class of affine pseudoframes of space L2(R) with refinable functions

  • Author

    Guo, Mingpu

  • Author_Institution
    Dept. of Fundamentals, Henan Polytech. Inst., Nanyang, China
  • Volume
    2
  • fYear
    2009
  • fDate
    19-20 Dec. 2009
  • Firstpage
    172
  • Lastpage
    175
  • Abstract
    The notion of a generalized multiresolution structure (GMS) of L2(R) is formulated. The definition of multiple pseudoframes for subspaces of L2(R) is presented. 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 of L2(R) is obtained based on such a GMS.
  • Keywords
    Hilbert spaces; affine transforms; GMS; L2(R) subspace; Paley-Wiener subspace; affine pseudoframes; Biomedical signal processing; Fourier series; Fourier transforms; Hilbert space; Intelligent structures; Intelligent transportation systems; Power electronics; Signal processing; Signal resolution; Sufficient conditions; finite support; generalized multiresolution structure; pseudodoframes; refinable functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Power Electronics and Intelligent Transportation System (PEITS), 2009 2nd International Conference on
  • Conference_Location
    Shenzhen
  • Print_ISBN
    978-1-4244-4544-8
  • Type

    conf

  • DOI
    10.1109/PEITS.2009.5406927
  • Filename
    5406927
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=512489