DocumentCode
1518070
Title
Output distributions of recursive stack filters
Author
Shmulevich, Ilya ; Yli-Harja, Olli ; Egiazarian, Karen ; Astola, Jaakko
Author_Institution
Signal Process. Lab., Tampere Univ. of Technol., Finland
Volume
6
Issue
7
fYear
1999
fDate
7/1/1999 12:00:00 AM
Firstpage
175
Lastpage
178
Abstract
In this letter, we provide a method for deriving the output distribution function of any recursive stack filter. In particular, we give the output distribution of the recursive median filter. The method used relies on finite automata and Markov chain theory. The distribution of any recursive stack filter is expressed as a vector multiplication of steady-state probabilities by the truth table vector of the Boolean function defining the filter.
Keywords
Boolean functions; Markov processes; finite automata; median filters; probability; recursive filters; stack filters; Boolean function; Markov chain theory; finite automata; output distribution; recursive median filter; recursive slack filters; recursive stack filters; steady-state probabilities; truth table vector; vector multiplication; Additive white noise; Automata; Boolean functions; Distribution functions; Filtering; Nonlinear filters; Signal processing; Statistics; Steady-state; Working environment noise;
fLanguage
English
Journal_Title
Signal Processing Letters, IEEE
Publisher
ieee
ISSN
1070-9908
Type
jour
DOI
10.1109/97.769362
Filename
769362
Link To Document