• DocumentCode
    2845878
  • Title

    Characteristics of orthogonal vector-valued wavelet packet bases

  • Author

    Wang, Junqiu ; Liu, Baocang

  • Author_Institution
    Sch. of Sci., Xi´´an Univ. of Archit. & Technol., Xi´´an, China
  • fYear
    2009
  • fDate
    17-19 June 2009
  • Firstpage
    6164
  • Lastpage
    6167
  • Abstract
    Wavelet analysis has become a popular subject in scientific research for twenty years. In this article, the multiple vector-valued wavelet packets are introduced. An approach for constructing the multiple vector-valued wavelet packets is proposed. Their properties are investigated by using integral transformation and operator theory. Finally, new orthonormal bases of space L2(R,Cvtimesv) are obtained by constructing a series of subspaces of the multiple vector-valued wavelet packets.
  • Keywords
    matrix algebra; time-frequency analysis; wavelet transforms; integral transformation; matrix theory; operator theory; orthogonal vector-valued wavelet packet base; scientific research; time-frequency analysis method; wavelet analysis; Discrete wavelet transforms; Electronic mail; Fractals; Frequency; Integral equations; Mathematics; Multiresolution analysis; Signal processing; Wavelet analysis; Wavelet packets; Multiple; Orthogonal; Vector-valued multiresolution analysis; Vector-valued wavelets; Wavelet packets;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control and Decision Conference, 2009. CCDC '09. Chinese
  • Conference_Location
    Guilin
  • Print_ISBN
    978-1-4244-2722-2
  • Electronic_ISBN
    978-1-4244-2723-9
  • Type

    conf

  • DOI
    10.1109/CCDC.2009.5195309
  • Filename
    5195309