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Volterra series

About: Volterra series is a research topic. Over the lifetime, 2731 publications have been published within this topic receiving 46199 citations.


Papers
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Proceedings ArticleDOI
18 Jan 2009
TL;DR: In this article, a polynomials with infinite impulse response bases are used to model a radio frequency (RF) power amplifier for second generation (EDGE) wireless systems.
Abstract: This paper presents a novel technique of modeling a radio frequency (RF) power amplifier (PAs) using polynomials with infinite impulse response (IIR) bases functions. Non-linear PA behavior, including both short-term and long-term memory effects, is described with very few parameters compared to existing Volterra series models. Moreover, the use of polynomials with IIR bases is far less computationally intensive thereby providing a significant advantage over competing methods. Power amplifiers designed for second generation (EDGE) wireless system are investigated for model validation. Excellent results are obtained, where the error between model prediction and measurements is better than 50 dBc, with the amplifier being driven with an EDGE signal at several power levels.

13 citations

Journal ArticleDOI
TL;DR: The results obtained show that the RC cell nonlinearities composing the hydropneumatic networks of the CRONE suspension do not modify the stability degree robustness versus sprung mass variations, thus extending in a nonlinear context this robustness that is present in the linear context.
Abstract: This paper presents a fractional system composed of a sprung mass and a suspension device with fractional impedance (fractance for short). More precisely, this fractance is a fractional integrator. Practical realizations of this fractional integrator based on hydropneumatic RC cells are presented in a limited frequency band. The main objective of this paper is to analyze the influence of the hydropneumatic RC cell nonlinearities, which constitute the hydropneumatic networks of the CRONE suspension, on the stability degree robustness when varying the sprung mass. First, the achievement of a nonlinear validation model is emphasized, and then, a linear synthesis model is presented. These two models are used in the second part of this paper to analyze the obtained performances and to show the influence of the nonlinearities. This analysis of performances is made first from a qualitative standpoint using the functional domain of each Ri and Ci element and then from the quantitative standpoint using the Volterra series. In fact, the difference between the response of the nonlinear model and the one of the first-order kernel (which represents the linear response of the system) allows the determination of the influence of the nonlinearities on the dynamic behavior for a particular signal input. The results obtained show that the RC cell nonlinearities composing the hydropneumatic networks of the CRONE suspension do not modify the stability degree robustness versus sprung mass variations, thus extending in a nonlinear context this robustness that is present in the linear context.

13 citations

Journal ArticleDOI
TL;DR: In this article, a second-order Volterra series model is fully specified by the form of its two kernel functions and the identification of such a model consists of deriving these two functions from field data.

13 citations

Proceedings ArticleDOI
03 Oct 2005
TL;DR: A modeling of basic functions of a communication chain with an advanced implementation of a power amplifier using Volterra series and is presented in the Scilab/Scicos environment.
Abstract: In the design process of modern communication systems, it is more and more required to be able to predict accurately the performances of the TX-RX chains. That means that the needs in terms of system level simulation tools and of macros-models become important. In this context, this paper presents a modeling of basic functions of a communication chain with an advanced implementation of a power amplifier using Volterra series. Modeling and simulation are presented in the Scilab/Scicos environment which is an efficient tool

13 citations

Journal ArticleDOI
TL;DR: In this paper, an infinite dimensional extension of the feedback linearization/backstepping approach is presented, which employs Volterra series nonlinear operators both in the transformation to a stable linear PDE and in the feedback law.

13 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202315
202246
202146
202057
201983
201881