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The Volterra and Wiener theories of nonlinear systems

Author: Martin Schetzen
Publisher: New York : Wiley, ©1980.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This text presents a complete and detailed development of the analysis, design and characterization of non-linear systems using the Volterra and Wiener theories, as well as gate functions, thus yielding new insights and a better comprehension of the subject. The Volterra and Wiener theories are useful in the study of systems in biological, mechanical, and electrical fields.
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Additional Physical Format: Online version:
Schetzen, Martin.
Volterra and Wiener theories of nonlinear systems.
New York : Wiley, ©1980
(OCoLC)682135899
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Martin Schetzen
ISBN: 0471044555 9780471044550
OCLC Number: 4956772
Notes: "A Wiley-Interscience Publication."
Description: xvi, 531 pages : illustrations ; 24 cm
Contents: General introduction --
First-order (linear) systems --
Second-order Volterra systems --
The second-order kernel transform --
Higher-order Volterra systems --
Higher-order kernel transforms --
The pth-order inverse --
The application of Volterra theory to nonlinear system analysis --
Motivational basis for the Wiener theory of nonlinear systems --
Averages of system responses --
Auto- and cross-correlation of system responses --
The Wiener g-functionals --
Determination of the Wiener kernels of a system by cross-correlation --
Average of the product of two g-funcitonals --
Nonlinear system identification --
Orthogonal representations --
Orthogonal development of the Wiener g-functionals --
The detailed Wiener model --
The Hermite polynomials --
The Wiener model from a statistical viewpoint --
The Gate function model --
Optimization of nonlinear models --
Appendix A. Average of the product of Gaussian variables --
Appendix B.A historical perspective and bibliography.
Responsibility: Martin Schetzen.

Abstract:

This text presents a complete and detailed development of the analysis, design and characterization of non-linear systems using the Volterra and Wiener theories, as well as gate functions, thus yielding new insights and a better comprehension of the subject. The Volterra and Wiener theories are useful in the study of systems in biological, mechanical, and electrical fields.

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