Weighted Myriad Filters - Nonlinear Signal and Image Processing: Theory, Methods and Applications - page 193

6. C.L. Nikias and M. Shao, Signal Processing with Alpha-Stable Distributions and

Applications, New York: Wiley Interscience, 1995.

7. V. Zolotarev, One-Dimensional Stable Distributions, Providence, RI: American

Mathematical Society, 1986.

8. B. Mandelbrot, Long-run linearity, locally Gaussian processes, H-spectra, and

infinite variances, Interant. Econ. Rev., 10, 82-111, 1969.

9. J.H. McCulloch, Simple consistent estimators of stable distribution parameters,

Commun. Stat. Simulation Comput., 15(4), 1109-1136, 1986.

10. B.W. Stuck, Minimum error dispersion linear filtering of scalar symmetric stable

processes, IEEE Trans. Autom. Control, 23(3), 507-509, 1978.

11. R.J. Adler, R.E. Feldman, and M.S. Taqqu, Analysing stable time series, in A

Practical Guide to Heavy Tails: Statistical Techniques and Applications, New York:
Springer-Verlag, 1998.

12. J.P. Nolan, Stable Distributions, Boston: Birkhauser, 2002.

13. P. Levy, Calcul des probabilites, Paris: Gauthier-Villars, 1925.

14. J.G. Gonzalez, D.W. Griffith, and G.R. Arce, Zero-Order Statistics: A Signal Pro-

cessing Framework for Very Impulsive Environments, Proc. IEEE Signal on
Higher Order Statistics, Banff, Alberta, Canada, July 1997.

15. R.A. Fisher, On the mathematical foundation of theoretical statistics, Philos. Trans.

R. Soc. London, 222, 1922.

16. S. Ambike and D. Hatzinakos, A new filter for highly impulsive -stable noise,

in Proc. of the 1995 Int. Workshop on Nonlinear Signal and Image Proc., Halkidiki,
Greece, June 1995.

α

17. D. Andrews, D. Bickel, P. Hampel, F. Huber, P. Rogers, and J. Tukey, Robust

Estimates of Location: Survey and Advances , Princeton, NJ: Princeton University
Press, 1972.

18. K.L. Boyer, M.J. Mirza, and G. Ganguly, The robust sequential estimator: a general

approach and its application to surface organization in range data, IEEE Trans.
PAMI, 16, Oct. 1994.

19. H.M. Hall, A new model for “impulsive” phenomena: application to

atmospheric-noise communication channels, Technical Reports 3412-8 and
7050-7, Stanford Electronics Lab., Stanford University, Palo Alto, CA, Aug.
1966.

20. L.K.S. Rappaport, An optimal nonlinear detector for digital data transmission

through non-Gaussian channels, IEEE Trans. Commun., 14, Mar. 1966.

21. F. Steiner, Most frequent value and cohesion of probability distributions, Acta

Geod. Geophys. Mont. Acad. Sci. Hung., 8(3-4), 381-395, 1973.

22. J.G. Gonzalez and G.R. Arce, Weighted myriad filters: a robust filtering frame-

work derived from alpha-stable distributions, in Proceedings of the 1996 IEEE
International Conference on Acoustics, Speech, and Signal Processing, Atlanta, GA,
May 1996.

23. G.R. Arce, J.G. Gonzalez, and P. Zurbach, Weighted myriad filters in imaging, in

Proc. Asilomar Conf. on Signals, Systems, and Computers, Nov. 1996.

24. J.G. Gonzalez, D.L. Lau, and G.R. Arce, Towards a general theory of robust

nonlinear filtering: selection filters, in Proc. IEEE ICASSP'97, Munich, Germany,
Apr. 1997.

25. J.G. Gonzalez and G.R. Arce, Statistically-efficient filtering in impulsive envi-

ronments: weighted myriad filters, EURASIP J. Appl. Signal Process., 4-20, Jan.
2002.