论文信息 - Output distributions of recursive stack filters

Output distributions of recursive stack filters

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.

[1] B I Justusson,et al. Median Filtering: Statistical Properties , 1981 .

[2] Moncef Gabbouj,et al. Weighted median filters: a tutorial , 1996 .

[3] N. Gallagher,et al. An overview of median and stack filtering , 1992 .

[4] Gonzalo R. Arce. Statistical threshold decomposition for recursive and nonrecursive median filters , 1986, IEEE Trans. Inf. Theory.

[5] Jaakko Astola,et al. Analysis of the properties of median and weighted median filters using threshold logic and stack filter representation , 1991, IEEE Trans. Signal Process..

[6] Gonzalo R. Arce,et al. Stochastic analysis for the recursive median filter process , 1988, IEEE Trans. Inf. Theory.

[7] Edward J. Coyle,et al. Stack filters , 1986, IEEE Trans. Acoust. Speech Signal Process..

[8] O. Yli-Harja. Formula for the joint distribution of stack filters , 1994, IEEE Signal Processing Letters.

[9] T. Nodes,et al. Median filters: Some modifications and their properties , 1982 .

[10] I. Shmulevich,et al. Run-length Distributions of Recursive Median Filters using Probabilistic Automata , 1999 .