• DocumentCode
    1458937
  • Title

    Wavelets and signal processing

  • Author

    Rioul, Olivier ; Vetterli, Martin

  • Author_Institution
    CNET, Issy-Les-Moulineaux, France
  • Volume
    8
  • Issue
    4
  • fYear
    1991
  • Firstpage
    14
  • Lastpage
    38
  • Abstract
    A simple, nonrigorous, synthetic view of wavelet theory is presented for both review and tutorial purposes. The discussion includes nonstationary signal analysis, scale versus frequency, wavelet analysis and synthesis, scalograms, wavelet frames and orthonormal bases, the discrete-time case, and applications of wavelets in signal processing. The main definitions and properties of wavelet transforms are covered, and connections among the various fields where results have been developed are shown.<>
  • Keywords
    reviews; signal processing; transforms; discrete-time case; nonstationary signal analysis; orthonormal bases; review; scalograms; signal processing; tutorial; wavelet frames; wavelet theory; wavelet transforms; Continuous wavelet transforms; Discrete wavelet transforms; Fourier transforms; Frequency; Image coding; Prototypes; Signal analysis; Signal processing; Signal resolution; Speech processing;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Magazine, IEEE
  • Publisher
    ieee
  • ISSN
    1053-5888
  • Type

    jour

  • DOI
    10.1109/79.91217
  • Filename
    91217