Topic
Volterra series
About: Volterra series is a research topic. Over the lifetime, 2731 publications have been published within this topic receiving 46199 citations.
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23 May 2004
TL;DR: It will be shown that despite the strongly correlating controlling voltages, the nonlinear 2-dimensional drain-source current (I/sub DS/) of the 30 W RF power transistor model can be fitted.
Abstract: This paper presents a fitting technique for polynomial 2-dimensional nonlinearity, based on voltage current spectra. It will be shown that despite the strongly correlating controlling voltages, the nonlinear 2-dimensional drain-source current (I/sub DS/) of the 30 W RF power transistor model can be fitted. Furthermore, a simplified Volterra presentation of the 3rd order intermodulation distortion (IM3) contributors of I-V and Q-V sources can be constructed. The results match well with the data simulated using harmonic balance. Also IM3 phasors of the input and output of the device are presented. The analysis shows that the total output IM3 current is dominated by the distortion from I/sub DS/. Also a significant portion of the IM3 current is caused by the fact that output IM3 voltage appears across linear but large drain-source capacitance (C/sub DS/).
9 citations
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01 Oct 2013TL;DR: This paper introduces statistical analysis of high-speed nonlinear links by extending the peak distortion analysis to include the impact of nonlinear drivers using the Volterra functional series.
Abstract: This paper introduces statistical analysis of high-speed nonlinear links by extending the peak distortion analysis to include the impact of nonlinear drivers By taking advantage of the unique characteristics of interconnect networks, the multilinear theory is applied to calculate the responses of the nonlinear networks by analyzing a series of linear networks First, the Volterra functional series is used to decompose the nonlinear link into multiple linear networks Then, the peak distortion analysis of the high-speed nonlinear link is constructed from the linear combinations of sequences of peak distortion analyses of the decomposed linear networks The analysis steps are derived analytically using an illustrative example Finally, the accuracy of the method is verified for a high-speed memory link using time-domain simulation
9 citations
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01 Nov 1993
TL;DR: In this paper, the frequency domain third-order Volterra kernel identification for nonGaussian excitation is discussed, and an orthogonal VOLTERRA-like model is proposed to eliminate the interference terms associated with the nonorthogonal Volterras model, and thus facilitates decomposition of an observed power spectrum into its constituent linear quadratic and cubic components.
Abstract: We discuss the utilization of higher-order spectral moments to determine frequency-domain Volterra kernels, given time series records of the random excitation and response of a nonlinear physical system. In particular, we consider frequency domain third-order Volterra kernel identification for nonGaussian excitation. Next an orthogonal Volterra like model valid for nonGaussian excitation is described. This model eliminates the interference terms associated with the nonorthogonal Volterra model, and thus facilitates decomposition of an observed power spectrum into its constituent linear quadratic, and cubic components. >
9 citations
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01 Dec 1986TL;DR: The Volterra series provides a convolution-oriented method for representing the input/output behavior of a nonlinear system as mentioned in this paper, which is naturally suited to control design with transfer functions: zeroth order, first order, second order and so forth.
Abstract: The Volterra series provides a convolution-oriented method for representing the input/output behavior of a nonlinear system. For the case of constant system parameters, such a representation is naturally suited to control design with transfer functions: zeroth order, first order, second order, and so forth. In 1979, Peczkowski, Sain, and Leake[1] introduced a Total Synthesis Problem (TSP) approach to linear feed-back synthesis; and in 1981, Peczkowski and Sain[2] demonstrated how to schedule TSP into a nonlinear controller. For plants with one input and one output, Al-Baiyat and Sain [3] extended TSP to higher order transfer functions for the class of linear analytic systems. In this paper, we complete the extension by treating multiple inputs and multiple outputs. The method is illustrated by designing a control system for a DC to AC converter.
9 citations
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TL;DR: The physical system under consideration is the flow above a rotating disk and its cross-flow instability, which is a typical route to turbulence in three-dimensional boundary layers, and the aim is to study the nonlinear properties of the wavefield through a Volterra series equation.
Abstract: The physical system under consideration is the flow above a rotating disk and its cross-flow instability, which is a typical route to turbulence in three-dimensional boundary layers. Our aim is to study the nonlinear properties of the wavefield through a Volterra series equation. The kernels of the Volterra expansion, which contain relevant physical information about the system, are estimated by fitting two-point measurements via a nonlinear parametric model. We then consider describing the wavefield with the complex Ginzburg–Landau equation, and derive analytical relations which express the coefficients of the Ginzburg–Landau equation in terms of the kernels of the Volterra expansion. These relations must hold for a large class of weakly nonlinear systems, in fluid as well as in plasma physics.
9 citations