Title :
Statistics of stack filters with mirrored threshold decomposition
Author :
Shmulevich, I. ; Paredes, J.L. ; Arce, G.R.
Author_Institution :
Signal Process. Lab., Tampere Univ. of Technol., Finland
Abstract :
The output distribution formula for stack filters based on mirrored threshold decomposition is derived. This formula allows one to compute the cumulative distribution function of the output of a stack filter for a given input noise distribution. Mirrored threshold decomposition permits us to analyze the input-output characteristics of the stack filter in the binary domain. The sliding window operation of the stack filter is modeled by a deterministic finite automaton. The output distribution of the filter is obtained by interpreting the automaton as a Markov Chain whose transition probabilities depend on the probabilistic description of the binary input signal
Keywords :
Markov processes; filtering theory; finite automata; noise; probability; stack filters; statistical analysis; Markov Chain; binary input signal; cumulative distribution function; deterministic finite automaton; image processing; input noise distribution; input-output characteristics; mirrored threshold decomposition; nonlinear filters; output distribution formula; probabilistic description; rank selection probabilities; signal processing; sliding window operation; stack filters; stack smoothers; statistical optimization; statistics; transition probabilities; Automata; Band pass filters; Distributed computing; Filtering; Low pass filters; Nonlinear filters; Signal processing; Statistical analysis; Statistical distributions; Statistics;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2000. ICASSP '00. Proceedings. 2000 IEEE International Conference on
Conference_Location :
Istanbul
Print_ISBN :
0-7803-6293-4
DOI :
10.1109/ICASSP.2000.860237
