• DocumentCode
    2812098
  • Title

    Subspace Affine Pseudoframes with a Generalized Multiresolution Structure and the Pyramid Decomposition Scheme

  • Author

    Wang, Xiaofeng ; Zhang, Fengling

  • Author_Institution
    Dept. of Math. & Phys., Henan Univ. of Urban Constr., Pingdingshan, China
  • fYear
    2009
  • fDate
    11-13 Dec. 2009
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    In this paper, the notion of an three-band Generalized Multiresolution Structure(GMS) of L2(R) is introduced. The properties of affine pseudoframes for subspaces with three-scale is characterized. The construction of a GMS of Paley-Wiener subspaces of L2(R) is investigated. The pyramid decomposition scheme is derived based on such a GMS. As a major new constribution the construction of affine frames for L2(R) based on a GMS is presented.
  • Keywords
    Fourier series; Hilbert spaces; affine transforms; Fourier series; Hilbert spaces; Paley-Wiener subspace; generalized multiresolution structure; pyramid decomposition; subspace affine pseudoframe; Focusing; Fourier series; Fourier transforms; Hafnium; Hilbert space; Image processing; Mathematics; Physics; Signal processing; Signal resolution;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Intelligence and Software Engineering, 2009. CiSE 2009. International Conference on
  • Conference_Location
    Wuhan
  • Print_ISBN
    978-1-4244-4507-3
  • Electronic_ISBN
    978-1-4244-4507-3
  • Type

    conf

  • DOI
    10.1109/CISE.2009.5363058
  • Filename
    5363058
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2812098