• DocumentCode
    2883660
  • Title

    Discrete-time Wilson expansions

  • Author

    Bölcskei, Helmut ; Feichtinger, Hans G. ; Grochenig, Karlheinz ; Hlawatsch, Frranz

  • Author_Institution
    INTHFT, Vienna Univ. of Technol., Austria
  • fYear
    1996
  • fDate
    18-21 Jun 1996
  • Firstpage
    525
  • Lastpage
    528
  • Abstract
    It has been shown that continuous-time orthonormal Wilson bases with good time-frequency localization can be constructed. We introduce and discuss discrete-time Wilson function sets and frames, and we show that Wilson sets and frames (potentially oversampled) can be derived from Weyl-Heisenberg sets and frames. We also show that discrete-time Wilson expansions correspond to a new class of cosine-modulated filter banks
  • Keywords
    band-pass filters; continuous time systems; discrete time systems; filtering theory; modulation; signal representation; signal sampling; time-frequency analysis; Weyl-Heisenberg frames; Weyl-Heisenberg sets; continuous-time orthonormal Wilson bases; cosine modulated filter banks; discrete-time Wilson expansions; discrete-time Wilson function frames; discrete-time Wilson function sets; oversampling; signal representation; time-frequency localization; Costs; Discrete transforms; Filter bank; Frequency; Numerical stability; Sampling methods; Signal representations;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Time-Frequency and Time-Scale Analysis, 1996., Proceedings of the IEEE-SP International Symposium on
  • Conference_Location
    Paris
  • Print_ISBN
    0-7803-3512-0
  • Type

    conf

  • DOI
    10.1109/TFSA.1996.550108
  • Filename
    550108