• DocumentCode
    1859362
  • Title

    The Study of Subspace Pseudoframes of Translates with Several Refinable Functions

  • Author

    Wang, Hui ; Zhai, Meijuan

  • Author_Institution
    Sch. of Educ., Nanyang Inst. of Technol., Nanyang, China
  • fYear
    2010
  • fDate
    22-24 Jan. 2010
  • Firstpage
    320
  • Lastpage
    324
  • Abstract
    The concept of a generalized multiresolution structure (GMS) of L2(R) is presented. The definition of multiple pseudoframes for subspaces of L2(R) is proposed. The designment 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 established based on such a generalized multiresolution structure.
  • Keywords
    affine transforms; wavelet transforms; Paley Wiener subspaces; affine frames; generalized multiresolution structure; refinable functions; subspace pseudoframes; wavelet transform; Educational technology; Electronic learning; Fourier series; Fourier transforms; Hilbert space; Multiresolution analysis; Signal processing; Signal resolution; Space technology; Wavelet transforms; finite support; generalized multiresolution structure; matrix theory; pseudodoframes; refinable functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    e-Education, e-Business, e-Management, and e-Learning, 2010. IC4E '10. International Conference on
  • Conference_Location
    Sanya
  • Print_ISBN
    978-1-4244-5680-2
  • Electronic_ISBN
    978-1-4244-5681-9
  • Type

    conf

  • DOI
    10.1109/IC4E.2010.88
  • Filename
    5432450
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1859362