• DocumentCode
    3812941
  • Title

    Wavelets: the mathematical background

  • Author

    A. Cohen;J. Kovacevic

  • Author_Institution
    Paris VI Univ., France
  • Volume
    84
  • Issue
    4
  • fYear
    1996
  • Firstpage
    514
  • Lastpage
    522
  • Abstract
    The authors give an overview of the continuous and oversampled wavelet transform. They discuss how, by sampling the continuous wavelet transform, orthonormal wavelet bases can be obtained. Multiresolution analysis, as a framework for studying wavelet bases, is also presented. Finally, the authors deal with discrete-time wavelet representations, filter banks, and fast algorithms.
  • Keywords
    "Discrete wavelet transforms","Fourier transforms","Signal processing algorithms","Signal processing","Time frequency analysis","Continuous wavelet transforms","Wavelet analysis","Multiresolution analysis","Application software","Numerical analysis"
  • Journal_Title
    Proceedings of the IEEE
  • Publisher
    ieee
  • ISSN
    0018-9219
  • Type

    jour

  • DOI
    10.1109/5.488697
  • Filename
    488697
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3812941