Output distributions of recursive stack filters

摘要

In this letter, we provide a method for deriving the outputndistribution function of any recursive stack filter. In particular, wengive the output distribution of the recursive median filter. The methodnused relies on finite automata and Markov chain theory. The distributionnof any recursive stack filter is expressed as a vector multiplication ofnsteady-state probabilities by the truth table vector of the Booleannfunction defining the filter