• DocumentCode
    1231563
  • Title

    Digital filters as absolute norm regularizers

  • Author

    Alliney, Stefano

  • Author_Institution
    Istituto de Matematica Gen. e Rinanziaria, Bologna Univ., Italy
  • Volume
    40
  • Issue
    6
  • fYear
    1992
  • fDate
    6/1/1992 12:00:00 AM
  • Firstpage
    1548
  • Lastpage
    1562
  • Abstract
    A variational formulation of the digital filtering problem, based on a certain regularizing functional, is presented. In particular, the special case where the regularizing functional is defined by means of l1-norm is considered and a characterization of its minima is presented. It is shown that, for a certain class of signals, one solution to the regularization problem can be obtained by means of a suitable recursive median filter. Some examples and a possible extension of the variational approach are also discussed
  • Keywords
    digital filters; filtering and prediction theory; variational techniques; absolute norm regularizers; digital filtering; digital filters; l1-norm; recursive median filter; regularizing functional; variational formulation; Conferences; Digital filters; Filtering theory; Frequency domain analysis; Low pass filters; Mathematical model; Physics; Potential energy; Power engineering and energy;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.139258
  • Filename
    139258
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1231563