Generalized mean-median filtering for robust frequency-selective applications

IEEE Transactions on Signal Processing

Volumn 55, Issue 3, 2007, Pages 937-948

  Aysal, Tuncer Can ^a   Barner, Kenneth E ^a  

^a UNIVERSITY OF DELAWARE   (United States)

Author keywords

contaminated; Maximum likelihood estimate; Mixed filtering; Nonlinear filtering; Weighted mean; Weighted median

Indexed keywords

MAXIMUM LIKELIHOOD ESTIMATION; NONLINEAR FILTERING; PROBABILITY; SIGNAL INTERFERENCE;

FREQUENCY-SELECTIVE FILTERING; MEAN-MEDIAN FILTERING; WEIGHTED SUM-MEDIAN;

SIGNAL FILTERING AND PREDICTION;

EID: 33947428823     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2006.888882     Document Type: Article

References (29)

1. G. R. Arce, "A general weighted median filter structure admitting negative weights," IEEE Trans. Signal Process., vol. 46, no. 12, pp. 3195-3205, Dec. 1998.
2. J. Astola and P. Kuosmanen, Fundamentals of Nonlinear Digital Filtering. Boca Raton, FL: CRC, 1997.
3. J. G. Gonzalez, D. L. Lau, and G. R. Arce, "Toward a general theory of robust nonlinear filtering: Selection filters," presented at the 1997 IEEE Int. Conf. Acoust., Speech, Signal Process., Munich, Germany, Apr. 21-24, 1997.
4. F. Hampel, E. Ronchetti, P. Rousseeuw, and W. Stahel, Robust Statistics: The Approach Based on Influence Functions. New York: Wiley, 1986.
5. Huber, Robust Statistics. New York: Wiley, 1981.
6. A. B. Hamza and H. Krim, "Image denoising: A nonlinear robust statistical approach," IEEE Trans. Signal Process., vol. 49, no. 12, pp. 3045-3054, Dec. 2001.
7. A. C. Bovik, T. S. Huang, and D. C. Munson, "A generalization of median filtering using linear combinations of order statistics," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-31, no. 6, pp. 1025-1037, Dec. 1983.
8. I. Pitas and A. Venetsanopoulos, Nonlinear Digital Filters: Principles and Application. Norwell, MA: Kluwer Academic, 1990.
9. H. A. David and H. N. Nagaraja, Order Statistics. New York: Wiley, 2003.
10. R. Oten and R. J. P. de Figueiredo, "An efficient method for L-filter design," IEEE Trans. Signal Process., vol. 51, no. 1, pp. 193-203, Mar. 1996.
11. R. Oten and R. J. P. de Figueiredo, "Adaptive alpha-trimmed mean filters under deviations from assumed noise model," IEEE Trans. Image Process., vol. 13, pp. 627-639, 2004.
12. G. R. Arce, Nonlinear Signal Processing: A Statistical Approach. New York: Wiley, 2005.
13. P. G. Hoel, Introduction to Mathematical Statistics, 3rd ed. New York: Wiley, 1962.
14. L. Yin, R. Yang, M. Gabbouj, and Y. Neuvo, "Weighted median filters: A tutorial," IEEE Trans. Circuits Syst., vol. 43, no. 3, pp. 157-192, Mar. 1996.
15. O. Yli-Harja, J. Astola, and Y. Neuvo, "Analysis of the properties of median and weighted median filters using threshold logic and stack filter representaion," IEEE Trans. Signal Process., vol. 39, no. 2, pp. 395-409, Feb. 1991.
16. I. Shmulevich and G. R. Arce, "Spectral design of weighted median filters admitting negative weights," IEEE Signal Process. Lett., vol. 8, no. 12, pp. 313-316, Dec. 2001.
17. I. Shmulevich, O. Yli-Harja, J. Astola, and A. Korshunov, "On the robustness of the class of stack filters," IEEE Trans. Signal Process., vol. 50, no. 7, pp. 1640-1649, Jul. 2002.
18. A. Papoulis, Probability, Random Variables, and Stochastic Processes. New York: McGraw-Hill, 1984.
19. R. Yang, L. Yin, M. Gabbouj, J. Astola, and Y. Neuvo, "Optimal weighted median filters under structural constraints," IEEE Trans. Signal Process., vol. 43, no. 3, pp. 591-604, 1995.
20. M. K. Prasad and Y. H. Lee, "Stack filters and selection probabilities," IEEE Trans. Signal Process., vol. 42, no. 10, pp. 2628-2642, Oct. 1994.
21. M. K. Prasad, "Stack filter design using selection probabilities," IEEE Trans. Signal Process., vol. 53, no. 3, pp. 1025-1037, Mar. 2005.
22. S. Haykin, Adaptive Filter Theory, 4th ed. New York: Prentice-Hall and Syst. Sci. Ser., 2002.
23. S. Hoyos, J. Bacca, and G. Arce, "Spectral design of weighted median filters: An iterative approach," IEEE Trans. Signal Process., vol. 53, no. 3, pp. 1045-1056, Mar. 2005.
24. C. L. Mallows, "Some theory of nonlinear smoothers," Ann. Statist., vol. 8, no. 4, pp. 695-715, 1980.
25. J. G. Proakis and D. G. Manolakis, Digital Signal Processing: Principles, Algorithms and Applications, 3rd ed. New York: MacMillan, 1996.
26. K.-S. Choi, A. W. Morales, and S.-J. Ko, "Design of linear combination of weighted medians," IEEE Trans. Signal Process., vol. 49, no. 9, pp. 1940-1952, Sep. 2001.
27. A. K. Jain, Fundamentals of Digital Image Processing. Englewood Cliffs, NJ: Prentice-Hall, 1989.
28. M. Fischer, J. L. Paredes, and G. Arce, "Weighted median image sharpeners for the World Wide Web," IEEE Trans. Image Process., vol. 11, pp. 717-727, 2002.
29. S. Thumhofer and S. K. Mitra, "A general framework for quadratic Volterra filters for edge enhancement," IEEE Trans. Signal Process., vol. 5, no. 6, pp. 950-963, Jun. 1996.