• DocumentCode
    703481
  • Title

    Nonlinear frame-like decompositions

  • Author

    Pouye, B. ; Benazza-Benyahia, A. ; PoIlak, I. ; Pesquet, J.-C. ; Krim, H.

  • Author_Institution
    ESE, LSS, Univ. Paris Sud, Gif-sur-Yvette, France
  • fYear
    1998
  • fDate
    8-11 Sept. 1998
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    In this paper, we revisit a number of concepts which have recently proven to be useful in multiscale signal analysis, specifically by replacing the now classical linear scale transition operators by nonlinear ones. Connections between nonlinear perfect reconstruction filter banks and PDE operators used in scale-space theory are established. An application of the proposed nonlinear tools is then given for extracting a signal embedded in noise. We also develop the important case of time invariant nonlinear representations.
  • Keywords
    filtering theory; partial differential equations; signal reconstruction; signal representation; PDE operators; linear scale transition operators; nonlinear frame-like decompositions; nonlinear perfect reconstruction filter banks; partial differential equations; scale-space theory; time invariant nonlinear representations; Guidelines; Image coding; Image reconstruction; Image resolution; Noise; Noise reduction; Signal resolution;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Signal Processing Conference (EUSIPCO 1998), 9th European
  • Conference_Location
    Rhodes
  • Print_ISBN
    978-960-7620-06-4
  • Type

    conf

  • Filename
    7089952