A stable adaptive Hammerstein filter employing partial orthogonalization of the input signals

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Publication Type Journal Article
School or College College of Engineering
Department Electrical & Computer Engineering
Creator Mathews, V. John; Dubow, Joel
Other Author Jeraj, Janez
Title A stable adaptive Hammerstein filter employing partial orthogonalization of the input signals
Date 2002
Description Abstract This paper presents an algorithm that adapts the parameters of a Hammerstein system model. Hammerstein systems are nonlinear systems that contain a static nonlinearity cascaded with a linear system. In this work, the static nonlinearity is modeled using a polynomial system and the linear filter that follows the nonlinerity is an infinite impulse response system. The adaptation of the nonlinear components is enhanced in the algorithm by orthogonalizing the inputs to the coefficients of the polynomial system. The linear system is implemented as a recursive higher-order filter. The step sizes associated with the recursive components are constrained in such a way as to guarantee bounded-input, bounded-output stability of the overall system. Experimental results included in the paper show that the algorithm performs well and always converges to the global minimum of the input signal is white.
Type Text
Publisher Institute of Electrical and Electronics Engineers (IEEE)
First Page 1349
Last Page 1352
Language eng
Bibliographic Citation Jeraj, J., Mathews, V. J., & Dubow, J. (2002). A stable adaptive Hammerstein filter employing partial orthogonalization of the input signals. IEEE International Conference on Acoustics, Speech and Signal Processing, 2, II-1349-52. May.
Rights Management (c) 2002 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Format Medium application/pdf
Format Extent 428,906 bytes
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Reference URL https://collections.lib.utah.edu/ark:/87278/s6k93rp3