• DocumentCode
    876339
  • Title

    Parametrization of compactly supported orthonormal wavelets

  • Author

    Zou, Hehong ; Tewfik, Ahmed H.

  • Author_Institution
    Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
  • Volume
    41
  • Issue
    3
  • fYear
    1993
  • fDate
    3/1/1993 12:00:00 AM
  • Firstpage
    1428
  • Lastpage
    1431
  • Abstract
    The parametrization of two-channel reconstruction quadrature mirror filter banks is extended to obtain a single characterization of discrete orthonormal wavelets. In particular, it is shown that discrete orthonormal wavelets of support less than 2N-1, where N is an even integer, are parametrized by N-1 real parameters, each taking values in (0, 2π). A parametrization of discrete orthonormal wavelets with a number of vanishing moments greater than one is also given
  • Keywords
    digital filters; wavelet transforms; discrete orthonormal wavelets; parameters; quadrature mirror filter banks; two channel reconstruction filter; vanishing moments; Adaptive arrays; Adaptive signal processing; Antennas and propagation; Array signal processing; Discrete wavelet transforms; Erbium; Filter bank; Mirrors; Robustness; Speech processing;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.205749
  • Filename
    205749