• DocumentCode
    478281
  • Title

    The Properties of Vector-Valued Higher-Dimensional Wavelet Packets

  • Author

    Xiao-feng, Wang ; Ping, Luo

  • Author_Institution
    Dept. of Elementary Sci., Pingdingshan Inst. of Technol., Pingdingshan
  • Volume
    4
  • fYear
    2008
  • fDate
    18-20 Oct. 2008
  • Firstpage
    272
  • Lastpage
    276
  • Abstract
    In this paper, we introduce a class of vector-valued wavelet packets of space L2(Rd, Ru), which are generalizations of multivariate wavelet packets. A procedure for constructing a class of biorthogonal vector-valued wavelet packets in higher dimensions is presented and their biorthogonality properties are characterized by virtue of matrix theory, time-frequency analysis method and operator theory. Three biorthogonality formulas regarding these wavelet packets are derived. Moreover, it is shown how to gain new Riesz bases of space L2(Rd,Ru) from these wavelet packets.
  • Keywords
    wavelet transforms; matrix theory; multivariate wavelet packets; operator theory; time-frequency analysis method; vector-valued higher-dimensional wavelet packets; Aggregates; Discrete transforms; Hydrogen; Mathematics; Pixel; Signal analysis; Space technology; Time frequency analysis; Wavelet analysis; Wavelet packets; wavelet packets;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Natural Computation, 2008. ICNC '08. Fourth International Conference on
  • Conference_Location
    Jinan
  • Print_ISBN
    978-0-7695-3304-9
  • Type

    conf

  • DOI
    10.1109/ICNC.2008.182
  • Filename
    4667288
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=478281