• DocumentCode
    1123849
  • Title

    An efficient tool for analyzing weighted median filters

  • Author

    Astola, J. ; Neuvo, Y.

  • Author_Institution
    Signal Process. Lab., Tampere Univ., Finland
  • Volume
    41
  • Issue
    7
  • fYear
    1994
  • fDate
    7/1/1994 12:00:00 AM
  • Firstpage
    487
  • Lastpage
    489
  • Abstract
    We present an efficient method for analyzing the statistical properties of weighted median filters. It is based on a fast algorithm for computing the Hamming distribution of the zero-set of the defining positive Boolean function. We also show that the standard median filter is in a statistical sense optimal among the stack filters defined by self dual positive Boolean functions
  • Keywords
    Boolean functions; digital filters; filtering and prediction theory; statistical analysis; Hamming distribution; fast algorithm; positive Boolean function; self dual positive Boolean functions; stack filters; statistical properties; weighted median filters; zero-set; Availability; Boolean functions; Distributed computing; Filtering theory; Finite impulse response filter; Image processing; Nonlinear filters; Passband; Signal processing algorithms; Statistics;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7130
  • Type

    jour

  • DOI
    10.1109/82.298384
  • Filename
    298384