• DocumentCode
    3385878
  • Title

    Researches into two-direction biorthogonal wavelet packets with four-scale dilation

  • Author

    Li, Qi ; Wu, Hong-E

  • Author_Institution
    Sch. of Sci., Xi´´an Univ. of Archit. & Technol., Xi´´an, China
  • Volume
    2
  • fYear
    2009
  • fDate
    28-29 Nov. 2009
  • Firstpage
    437
  • Lastpage
    441
  • Abstract
    In this work, the notion of biorthogonal two-direction compactly supported wavelet packets with four-scale dilation is introduced. We develop a new method for designing two-direction biorthogonal wavelet packets and their properties are investigated by means of time-frequency analysis method, matrix theory and operator theory. The decomposition relationship is established. Lastly, two new Riesz bases of space L2(R) are drawn from these wavelet packets.
  • Keywords
    time-frequency analysis; wavelet transforms; Riesz basis; four-scale dilation; matrix theory; operator theory; time-frequency analysis method; two-direction biorthogonal wavelet packets; Computational intelligence; Computer industry; Design methodology; Equations; Mathematics; Matrix decomposition; Multiresolution analysis; Time frequency analysis; Wavelet analysis; Wavelet packets; biorthogonal; compact support; formatting; packets; refinable functions; two-direction; wavelet;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Intelligence and Industrial Applications, 2009. PACIIA 2009. Asia-Pacific Conference on
  • Conference_Location
    Wuhan
  • Print_ISBN
    978-1-4244-4606-3
  • Type

    conf

  • DOI
    10.1109/PACIIA.2009.5406562
  • Filename
    5406562
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3385878