Frequency domain analysis of nonlinear systems: general theory
Leon O. Chua,C.-Y. Ng +1 more
TLDR
In this article, a unified study of the applications of Volterra functional series to nonlinear-system analysis is presented with special emphasis on frequency-domain results which either have not been published before, or where rigour had been lacking.Abstract:
A unified study of the applications of Volterra functional series to nonlinear-system analysis is presented with special emphasis on frequency-domain results which either have not been published before, or where rigour had been lacking. In particular, an in-depth analysis of the harmonic and intermodulation frequency components due to each Volterra kernel of a given order will be presented and explicit formulas which complement those already published will be given. The effects of manipulating various kernels, which need not be symmetric, on the overall response, as well as on the composite kernels will be investigated. These results are then applied to the analysis of dynamical systems described by a system of nonlinear state equations and a read-out mapread more
Citations
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Model Reduction by Moment Matching for Linear and Nonlinear Systems
TL;DR: A re-visitation of the linear theory allows to obtain novel results for linear systems and to develop a nonlinear enhancement of the notion of moment that is used to pose and solve the model reduction problem by moment matching for nonlinear systems.
Journal ArticleDOI
Parametric and nonparametric identification of linear systems in the presence of nonlinear distortions-a frequency domain approach
TL;DR: A related linear dynamic system (RLDS) approximation to the nonlinear system (NLS) is defined, and it is shown that the differences between the NLS and the RLDS can be modeled as stochastic variables with known properties.
Journal ArticleDOI
Device modeling via nonlinear circuit elements
TL;DR: Contrary to what is the case in linear circuit theory, it is shown that an infinite variety of basic algebraic and dynamic elements will be needed in the eventual formulation of a unified theory on device modeling.
Journal ArticleDOI
An algebraic approach to nonlinear functional expansions
TL;DR: A new theory of functional expansion is presented which makes use of formal power series in several noncommutative variables and of iterated integrals and a simple closed-form expression for the solution of a nonlinear differential equation with forcing terms is derived.
Journal ArticleDOI
Measuring Volterra kernels
TL;DR: In this paper, the authors introduce a pseudonoise test for measuring the second Volterra kernel of a weakly nonlinear system, which is analogous to the one we present in this paper.
References
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Journal ArticleDOI
The output properties of Volterra systems (nonlinear systems with memory) driven by harmonic and Gaussian inputs
E. Bedrosian,S.O. Rice +1 more
TL;DR: Results, both old and new, which will aid the reader in applying Volterra-series-type analyses to systems driven by sine waves or Gaussian noise are presented.
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Analysis of nonlinear systems with multiple inputs
TL;DR: Analytical modeling of communication receivers to account for their nonlinear response to multiple input signals is discussed, based on the application of the Wiener-Volterra analysis of nonlinear functionals.
Journal ArticleDOI
Theory of pth-order inverses of nonlinear systems
TL;DR: In this article, the p th-order inverse of a nonlinear system is defined as a system for which the Volterra series of the system Q formed by the tandem connection of K{(p)}^{-1} and H is zero.
ReportDOI
Theory of the analysis of nonlinear systems
TL;DR: This thesis is based on a thesis submitted to M.I.T. Dept. of Electrical Engineering, January 13, 1958 and aims to provide a history of electrical engineering in the United States.