• DocumentCode
    2903391
  • Title

    Existence and Design of a Kind of Biorthogonal Vector-Valued Wavelets

  • Author

    Wang, Junqiu ; Li, Juanfei

  • Author_Institution
    Sch. of Sci., Xi´´an Univ. of Archit. & Technol., Xi´´an, China
  • Volume
    3
  • fYear
    2009
  • fDate
    4-5 July 2009
  • Firstpage
    505
  • Lastpage
    508
  • Abstract
    In this article, we develop the vector-valued multiresolution analysis and the biorthogonal vector-valued wavelets. The existence of biorthogonal vector-valued compactly supported wavelets associated with a pair of biorthogonal vector-valued compactly supported scaling functions is studied. A novel method for designing a class of biorthogonal vector-valued finitely supported wavelet functions is proposed by means of multiresolution analysis and time-frequency analysis.
  • Keywords
    vectors; wavelet transforms; biorthogonal vector-valued wavelet; scaling function; time-frequency analysis; vector-valued multiresolution analysis; Design methodology; Discrete wavelet transforms; Fluid flow; Image coding; Integral equations; Multiresolution analysis; Power engineering and energy; Power engineering computing; Signal processing; Wavelet analysis; biorthogonal; multiresolution analysis; vector-valued; wavelets;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Environmental Science and Information Application Technology, 2009. ESIAT 2009. International Conference on
  • Conference_Location
    Wuhan
  • Print_ISBN
    978-0-7695-3682-8
  • Type

    conf

  • DOI
    10.1109/ESIAT.2009.417
  • Filename
    5199741