• DocumentCode
    1191609
  • Title

    A note on irregular discrete wavelet transforms

  • Author

    Olsen, P.A. ; Seip, K.

  • Author_Institution
    Div. of Math. Sci., Trondheim Univ., Norway
  • Volume
    38
  • Issue
    2
  • fYear
    1992
  • fDate
    3/1/1992 12:00:00 AM
  • Firstpage
    861
  • Lastpage
    863
  • Abstract
    Estimates of frame bounds for wavelet frames generated by discrete sets in phase space satisfying only a certain density condition are deduced. Numerical examples show that these estimates, which are the sharpest results of this kind known to the authors, are rather poor compared to Daubechies´ estimates (see ibid., vol.36, no.5, p.961-1005, 1990) for the usual discrete wavelet transforms.<>
  • Keywords
    phase space methods; signal processing; transforms; frame bounds; numerical examples; phase space; signal analysis; Continuous wavelet transforms; Discrete Fourier transforms; Discrete transforms; Discrete wavelet transforms; Fourier transforms; Kernel; Performance analysis; Sampling methods; Signal analysis; Wavelet analysis;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.119741
  • Filename
    119741