DocumentCode :
1501572
Title :
Output distributions of stack filters based on mirrored threshold decomposition
Author :
Shmulevich, Ilya ; Paredes, José Luis ; Arce, Gonzalo R.
Author_Institution :
Signal Process. Lab., Tampere Univ. of Technol., Finland
Volume :
49
Issue :
7
fYear :
2001
fDate :
7/1/2001 12:00:00 AM
Firstpage :
1454
Lastpage :
1460
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 independent and identically distributed (i.i.d.) 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. An example illustrating the use of the output distribution formula is provided
Keywords :
Markov processes; probability; stack filters; statistical analysis; Markov chain; binary domain; binary input signal; cumulative distribution function; deterministic finite automaton; i.i.d. input noise distribution; independent identically distributed input noise; input-output characteristics; mirrored threshold decomposition; output distribution formula; sliding window operation; stack filters; transition probabilities; Automata; Band pass filters; Contamination; Distributed computing; Distribution functions; Filtering; Nonlinear filters; Signal analysis; Signal processing; Statistical analysis;
fLanguage :
English
Journal_Title :
Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1053-587X
Type :
jour
DOI :
10.1109/78.928698
Filename :
928698
Link To Document :
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