Stochastic Analysis for the Recursive Median Filter Process

IEEE Transactions on Information Theory

Volumn 34, Issue 4, 1988, Pages 669-679

  Arce, Gonzalo R ^a   Gallagher, Neal C ^b  

^a UNIVERSITY OF DELAWARE   (United States)

^b PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PROBABILITY--RANDOM PROCESSES; STATISTICAL METHODS;

BINARY SEQUENCES; MEDIAN FILTERING; RECURSIVE FILTERING; STATISTICAL THRESHOLD DECOMPOSITION; VECTOR PROBABILITY MEASURE FUNCTIONS;

SIGNAL FILTERING AND PREDICTION;

EID: 0024035614     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/18.9767     Document Type: Article

References (9)

1. T. S. Huang, Ed., "Two dimensional signal processing II," in Topics in Applied Physics, vol. 43. Berlin: Springer-Verlag, 1981.
2. N. C. Gallagher and G. L. Wise, "A theoretical analysis of the properties of median filters," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-29, no. 6, Dec. 1981.
3. G. R. Arce and N. C. Gallagher, "State description of the root signal set of median filters," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-30, Dec. 1982.
4. H. David, Order Statistics, 2nd ed. New York: Wiley, 1981.
5. T. A. Nodes and N. C. Gallagher, "Median filters: Some modifications and their properties," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-30, no. 5, Oct. 1982.
6. S. Karlin and H. Taylor, A First Course on Stochastic Processes. New York: Academic, 1975.
7. G. R. Arce, N. C. Gallagher, and T. A. Nodes, "Median filter: Theory and applications," in Advances in Computer Vision and Image Processing, T. S. Huang, Ed., vol. 2. Connecticut: JAI Press, 1986.
8. G. R. Arce, "Statistical threshold decomposition for recursive and nonrecursive median filters," IEEE Trans. Inform. Theory, vol. IT-32, no. 2, Mar. 1986.
9. P. Fitch, E. J. Coyle, and N, C. Gallagher, Jr., "Median filtering by threshold decomposition," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-32, Dec. 1984.