• DocumentCode
    2988268
  • Title

    An algorithm for constructing orthogonal vector-valued wavelets with compact support

  • Author

    Li, Zhi-fei ; Ding, Li-Ping

  • Author_Institution
    Sch. of Sci., Xi´´an Univ. of Archit. & Technol., Xian
  • Volume
    2
  • fYear
    2008
  • fDate
    30-31 Aug. 2008
  • Firstpage
    524
  • Lastpage
    529
  • Abstract
    In this paper. the notion of vector-valued multi-resolution 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 wavelet; multiresolution analysis; paraunitary vector filter bank theory; Algorithm design and analysis; Discrete wavelet transforms; Electronic mail; Filter bank; Functional analysis; Pattern analysis; Pattern recognition; Signal processing algorithms; Sufficient conditions; Wavelet analysis; Multi-resolution Analysis; Orthogonal; Vector-valued Scaling Functions; Vector-valued Wavelets;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Wavelet Analysis and Pattern Recognition, 2008. ICWAPR '08. International Conference on
  • Conference_Location
    Hong Kong
  • Print_ISBN
    978-1-4244-2238-8
  • Electronic_ISBN
    978-1-4244-2239-5
  • Type

    conf

  • DOI
    10.1109/ICWAPR.2008.4635836
  • Filename
    4635836