• DocumentCode
    871010
  • Title

    On the conjugate quadrature filters that do not generate orthonormal wavelets

  • Author

    Gripenberg, Gustaf

  • Author_Institution
    Dept. of Math., Helsinki Univ., Finland
  • Volume
    43
  • Issue
    8
  • fYear
    1995
  • fDate
    8/1/1995 12:00:00 AM
  • Firstpage
    2005
  • Lastpage
    2007
  • Abstract
    It is shown that the conjugate quadrature filters that fail to generate an orthonormal multiresolution are symmetrical if their length is at most 6 and have at most N-2 vanishing moments if their length is 2N⩾6
  • Keywords
    filtering theory; signal resolution; wavelet transforms; conjugate quadrature filters; filter length; multiresolution analysis; orthonormal multiresolution; orthonormal wavelets; subband filtering; symmetrical filters; vanishing moments; Eigenvalues and eigenfunctions; Filtering; Filters; Fourier transforms; Mathematics; Multiresolution analysis; Signal resolution; Sufficient conditions; Testing; Virtual manufacturing;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.403364
  • Filename
    403364
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=871010