• DocumentCode
    2096218
  • Title

    The Properties of a Class of Higher-dimensional Wavelet Packets According to an Integer-valued Dilation Matrix

  • Author

    Wang, Xiaofeng ; Lv, Baoxian

  • Author_Institution
    Dept. of Math. & Phys., Henan Univ. of Urban Constr., Pingdingshan, China
  • fYear
    2010
  • fDate
    28-31 March 2010
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    The notion of the higher-dimensional matrix-valued wavelet packets is proposed. A method for designing biorthogonal matrix-valued multivariate wavelet packets is developed and their properties are discussed by means of time-frequency analysis method and matrix theory. Three orthogonality formulas concerning these wavelet packets are obtained. One new Riesz basis of L2 (Rd, Cr × r) are constructed from these wavelet packets.
  • Keywords
    matrix algebra; time-frequency analysis; wavelet transforms; biorthogonal matrix-valued multivariate wavelet packets; higher-dimensional wavelet packets; integer-valued dilation matrix; time-frequency analysis; Design methodology; Discrete transforms; Eigenvalues and eigenfunctions; Image coding; Mathematics; Multiresolution analysis; Physics; Time frequency analysis; Wavelet analysis; Wavelet packets;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Power and Energy Engineering Conference (APPEEC), 2010 Asia-Pacific
  • Conference_Location
    Chengdu
  • Print_ISBN
    978-1-4244-4812-8
  • Electronic_ISBN
    978-1-4244-4813-5
  • Type

    conf

  • DOI
    10.1109/APPEEC.2010.5448537
  • Filename
    5448537
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2096218