• DocumentCode
    1191656
  • Title

    A sampling theorem for wavelet subspaces

  • Author

    Walter, G.G.

  • Author_Institution
    Dept. of Math. Sci., Wisconsin Univ., Milwaukee, WI, USA
  • Volume
    38
  • Issue
    2
  • fYear
    1992
  • fDate
    3/1/1992 12:00:00 AM
  • Firstpage
    881
  • Lastpage
    884
  • Abstract
    The classical Shannon sampling theorem is extended to the subspaces used in the multiresolution analysis in wavelet theory. Under weak hypotheses, these subspaces are first shown to have a Riesz basis formed from the reproducing kernels. These in turn are used to construct the sampling sequences. Examples are given.<>
  • Keywords
    information theory; signal processing; transforms; Riesz basis; Shannon sampling theorem; multiresolution analysis; reproducing kernels; signal analysis; subspaces; wavelet theory; Continuous wavelet transforms; Equations; Fourier transforms; Hilbert space; Kernel; Multiresolution analysis; Sampling methods; Wavelet analysis;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.119745
  • Filename
    119745
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1191656