NDLI: Performance analysis of third-order nonlinear Wiener adaptive systems

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Performance analysis of third-order nonlinear Wiener adaptive systems

Content Provider	IEEE Xplore Digital Library
Author	Shue-Lee Chang Ogunfunmi, T.
Copyright Year	2002
Description	Author affiliation: Dept. of Electr. Eng., Santa Clara Univ., CA, USA (Shue-Lee Chang; Ogunfunmi, T.)
Abstract	This paper presents a detailed performance analysis of third-order nonlinear adaptive systems based on the Wiener model. In earlier work, we proposed the discrete Wiener model for adaptive filtering applications for any order. However, we had focused mainly on first and second-order nonlinear systems in our previous analysis. Now, we present new results on the analysis of third order systems. All the results can be extended to higher-order systems. The Wiener model has many advantages over other models such as the Volterra model. These advantages include fewer number of coefficients and faster convergence. The Wiener model performs a complete orthogonalization procedure to the truncated Volterra series and this allows us to use linear adaptive filtering algorithms like the LMS to calculate all the coefficients efficiently. Unlike the Gram-Schmidt procedure, this orthogonalization method is based on the nonlinear discrete Wiener model. It contains three sections: a single-input multioutput linear with memory section, a multi-input, multi-output nonlinear no-memory section and a multi-input, single-output amplification and summary section. Computer simulation results are also presented to verify the theoretical performance analysis results.
Sponsorship	IEEE IEEE Circuits & Syst. Soc
File Size	352737
File Format	PDF
ISBN	0780374487
DOI	10.1109/ISCAS.2002.1010958
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-05-26
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Performance analysis Adaptive systems Adaptive filters Polynomials Least squares approximation Adaptive algorithm Convergence Filtering algorithms Computer simulation Eigenvalues and eigenfunctions
Content Type	Text
Resource Type	Article

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