• DocumentCode
    2160669
  • Title

    The research of characters of biorthogonal non-tensor three-dimensional wavelet packets

  • Author

    Luo Ping ; Tian Xin-Xian

  • Author_Institution
    Dept. of Fundamentals, Henan Polytech. Inst., Nanyang, China
  • Volume
    2
  • fYear
    2010
  • fDate
    26-28 Feb. 2010
  • Firstpage
    538
  • Lastpage
    542
  • Abstract
    Wavelet analysis is a popular subject in science research. The notion of univariate orthogonal wavelet packets is generalized. First, the notion of biorthogonal nonseparable tri-variate wavelet packets is proposed and a procedure for constructing them is presented. Next, the biorthogonality property of trivariate wavelet packets is investigated, and three biorthogonality formulas of wavelet packets are established.
  • Keywords
    wavelet transforms; biorthogonal nonseparable trivariate wavelet packets; biorthogonal nontensor 3D wavelet packets; biorthogonality formulas; biorthogonality property; univariate orthogonal wavelet packets; wavelet analysis; Educational institutions; Fourier series; Hilbert space; Mathematics; Multiresolution analysis; Nonlinear equations; Tensile stress; Wavelet analysis; Wavelet packets; Wavelet transforms; biorthogonal; refinement equation; scaling function; trivariate; wavelet packets;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer and Automation Engineering (ICCAE), 2010 The 2nd International Conference on
  • Conference_Location
    Singapore
  • Print_ISBN
    978-1-4244-5585-0
  • Electronic_ISBN
    978-1-4244-5586-7
  • Type

    conf

  • DOI
    10.1109/ICCAE.2010.5451648
  • Filename
    5451648
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2160669