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Minimum Mean-Square Error Equalization for Second-Order Volterra Systems

Krall, C. and Witrisal, K. and Leus, G. and Koeppl, H. (2008):
Minimum Mean-Square Error Equalization for Second-Order Volterra Systems.
In: IEEE Transactions on Signal Processing, IEEE, pp. 4729-4737, 56, (10), [Online-Edition: http://ieeexplore.ieee.org/xpls/icp.jsp?arnumber=4558047],
[Article]

Abstract

In this paper, a novel nonlinear Volterra equalizer is presented. We define a framework for nonlinear second-order Volterra models, which is applicable to different applications in engineering. We use this framework to define the channel and to model the equalizer. We then solve the minimum mean-square error (MMSE) problem explicitly for the tandem connection of the two second-order Volterra systems. Optimal solutions for a simplified, linear version of the MMSE equalizer are also presented. The novel equalizer was tested when applied to a nonlinear ultra-wideband transmitted reference receiver front end. As a comparison, a least mean squares (LMS) equalizer with a training sequence has been used to verify the performance of the newly proposed equalizer. The simulation results show that the LMS equalizer is only able to attain the proposed MMSE equalizer after very long training, which might not be desirable in a communication system.

Item Type: Article
Erschienen: 2008
Creators: Krall, C. and Witrisal, K. and Leus, G. and Koeppl, H.
Title: Minimum Mean-Square Error Equalization for Second-Order Volterra Systems
Language: English
Abstract:

In this paper, a novel nonlinear Volterra equalizer is presented. We define a framework for nonlinear second-order Volterra models, which is applicable to different applications in engineering. We use this framework to define the channel and to model the equalizer. We then solve the minimum mean-square error (MMSE) problem explicitly for the tandem connection of the two second-order Volterra systems. Optimal solutions for a simplified, linear version of the MMSE equalizer are also presented. The novel equalizer was tested when applied to a nonlinear ultra-wideband transmitted reference receiver front end. As a comparison, a least mean squares (LMS) equalizer with a training sequence has been used to verify the performance of the newly proposed equalizer. The simulation results show that the LMS equalizer is only able to attain the proposed MMSE equalizer after very long training, which might not be desirable in a communication system.

Journal or Publication Title: IEEE Transactions on Signal Processing
Volume: 56
Number: 10
Publisher: IEEE
Uncontrolled Keywords: Nonlinear MMSE equalizer,Volterra systems,second-order systems
Divisions: 18 Department of Electrical Engineering and Information Technology > Institute for Telecommunications > Bioinspired Communication Systems
18 Department of Electrical Engineering and Information Technology
18 Department of Electrical Engineering and Information Technology > Institute for Telecommunications
Date Deposited: 04 Apr 2014 12:24
Official URL: http://ieeexplore.ieee.org/xpls/icp.jsp?arnumber=4558047
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