Theoretical derivation of minimum mean square error of RBF based equalizer

Authors:
Jungsik Lee;Ravi Sankar
Affiliations:
School of Electronic and Information Engineering, Kunsan National University, Kunsan, Chonbuk, Korea;Department of Electrical Engineering, University of South Florida, Tampa, FL
Venue:
ICNC'06 Proceedings of the Second international conference on Advances in Natural Computation - Volume Part I
Year:
2006

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Abstract

In this paper, the minimum mean square error (MSE) convergence of the RBF equalizer is evaluated and compared with the linear equalizer based on the theoretical minimum MSE. The basic idea of comparing these two equalizers comes from the fact that the relationship between the hidden and output layers in the RBF equalizer is also linear. As extensive studies of this research, various channel models are selected, which include linearly separable channel, slightly distorted channel, and severely distorted channel models. The theoretical minimum MSE for both RBF and linear equalizers were computed, compared and the sensitivity of minimum MSE due to RBF center spreads was analyzed.