• DocumentCode
    2648099
  • Title

    Design of a class of compactly supported orthogonal vector-valued wavelets

  • Author

    Feng, Jin-Shun ; Hua, De-lin

  • Author_Institution
    Nanyang Inst. of Technol., Nanyang
  • Volume
    4
  • fYear
    2007
  • fDate
    2-4 Nov. 2007
  • Firstpage
    1659
  • Lastpage
    1664
  • Abstract
    The notion of vector-valued multiresolution analysis is introduced and the definition of orthogonal vector-valued wavelets. A necessary and sufficient condition on the existence of orthogonal vector-valued wavelets is given by using paraunitary vector filter bank theory. A method for constructing a class of compactly supported orthogonal vector-valued wavelets is proposed.
  • Keywords
    channel bank filters; signal resolution; vectors; wavelet transforms; compactly supported orthogonal vector-valued wavelets; paraunitary vector filter bank theory; vector-valued multiresolution analysis; Discrete wavelet transforms; Educational institutions; Educational technology; Equations; Multiresolution analysis; Notice of Violation; Pattern analysis; Pattern recognition; Sufficient conditions; Wavelet analysis; Orthogonal; multiresolution analysis; vector-valued scaling functions; vector-valued wavelets;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Wavelet Analysis and Pattern Recognition, 2007. ICWAPR '07. International Conference on
  • Conference_Location
    Beijing
  • Print_ISBN
    978-1-4244-1065-1
  • Electronic_ISBN
    978-1-4244-1066-8
  • Type

    conf

  • DOI
    10.1109/ICWAPR.2007.4421719
  • Filename
    4421719