Optimality of the myriad filter in practical impulsive-noiseenvironments

Authors:
J.G. Gonzalez;G.R. Arce
Affiliations:
Dept. of Electr. & Comput. Eng., Delaware Univ., Newark, DE;-
Venue:
IEEE Transactions on Signal Processing
Year:
2001

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Abstract

Linear filtering theory has been largely motivated by the characteristics of Gaussian signals. In the same manner, the proposed myriad filtering methods are motivated by the need for a flexible filter class with high statistical efficiency in non-Gaussian impulsive environments that can appear in practice. We introduce several important properties of the myriad filter and prove its optimality in the family of α-stable distributions