• DocumentCode
    1859446
  • Title

    The Characters of Multiple Affine Bivariate Pseudoframes of Translates with Bivariate Filter Functions

  • Author

    Lv, Baoxian ; Liu, Yong

  • Author_Institution
    Dept. of Fundamentals, Henan Polytech. Inst., Nanyang, China
  • fYear
    2010
  • fDate
    22-24 Jan. 2010
  • Firstpage
    329
  • Lastpage
    333
  • Abstract
    The concept of a generalized bivariate multiresolution structure (GBMS) of space L2(R2) is formulated. A class of multiple affine bivariate pseudoframes for subspaces of L2(R2) is introduced. The construction of a GMS of Paley-Wiener subspaces of L2(R2) is studied. The sufficient condition for the existence of pyramid decomsition scheme is presented based on such a GBMS. A class of affine bivariate frames is constructed by this pyramid decomsition scheme.
  • Keywords
    affine transforms; stochastic processes; Paley-Wiener subspaces; bivariate filter functions; generalized bivariate multiresolution structure; multiple affine bivariate pseudoframes; pyramid decomsition; Electronic learning; Filters; Fourier series; Hilbert space; Mathematics; Multiresolution analysis; Redundancy; Signal processing; Signal resolution; Sufficient conditions; affine frames; bivariate; filter functions; multiple pseudoframes; pyramid decomsition scheme;
  • 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.2010.86
  • Filename
    5432454
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1859446