Generalized correlation function: definition, properties, and application to blind equalization

Authors:
I. Santamaria;P.P. Pokharel;J.C. Principe
Affiliations:
Electr. & Comput. Eng. Dept., Univ. of Florida, Gainesville, FL, USA;-;-
Venue:
IEEE Transactions on Signal Processing - Part I
Year:
2006

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Abstract

With an abundance of tools based on kernel methods and information theoretic learning, a void still exists in incorporating both the time structure and the statistical distribution of the time series in the same functional measure. In this paper, a new generalized correlation measure is developed that includes the information of both the distribution and that of the time structure of a stochastic process. It is shown how this measure can be interpreted from a kernel method as well as from an information theoretic learning points of view, demonstrating some relevant properties. To underscore the effectiveness of the new measure, a simple blind equalization problem is considered using a coded signal.