• DocumentCode
    1364108
  • Title

    Construction of biorthogonal wavelets starting from any two multiresolutions

  • Author

    Aldroubi, Akram ; Abry, Patrice ; Unser, Michael

  • Author_Institution
    Dept. of Math., Vanderbilt Univ., Nashville, TN, USA
  • Volume
    46
  • Issue
    4
  • fYear
    1998
  • fDate
    4/1/1998 12:00:00 AM
  • Firstpage
    1130
  • Lastpage
    1133
  • Abstract
    Starting from any two given multiresolution analyses of L2 , {Vj1}j∈Z and {Vj2}j∈Z, we construct biorthogonal wavelet bases that are associated with this chosen pair of multiresolutions. Thus, our construction method takes a point of view opposite to the one of Cohen-Daubechies-Feauveau (1992), which starts from a well-choosen pair of biorthogonal discrete filters. In our construction, the necessary and sufficient condition is the nonperpendicularity of the multiresolutions
  • Keywords
    band-pass filters; filtering theory; signal resolution; signal synthesis; wavelet transforms; biorthogonal wavelet bases; biorthogonal wavelets construction; filter banks; multiresolution analysis; multiresolutions nonperpendicularity; necessary condition; sufficient condition; Biomedical imaging; Filtering; Finite impulse response filter; Mathematics; Multiresolution analysis; Shape; Spline; Sufficient conditions; Wavelet analysis; Wavelet transforms;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.668563
  • Filename
    668563
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1364108