• DocumentCode
    2098148
  • Title

    Characteristics of Higher-dimensional Two-directional Wavelet Packets

  • Author

    Gao, Hongwei

  • Author_Institution
    Dept. of Math., Yulin Univ., Yulin, China
  • fYear
    2010
  • fDate
    28-31 March 2010
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    Abstract-In this article, the notion of biorthogonal two-direction finitely supported wavelet packets with three-scale is introduced. A new approach for designing two-direction biorthogonal wavelet packets is developed and their properties is investigated by means of time-frequency analysis method, matrix theory and operator theory. The decomposition relationship is established. Lastly, two Riesz bases of space L2 (R) are drawn from these wavelet packets.
  • Keywords
    matrix algebra; time-frequency analysis; wavelet transforms; Riesz bases; higher dimensional two directional biorthogonal wavelet packets; matrix theory; operator theory; time-frequency analysis method; Biomedical signal processing; Equations; Mathematics; Matrix decomposition; Multiresolution analysis; Signal processing algorithms; Time domain analysis; 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.2010.5448611
  • Filename
    5448611