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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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Journal ArticleDOI
TL;DR: In this paper, the Volterra series with time-varying kernels was introduced to treat intermodulation in frequency converters with one two-terminal nonlinearity.
Abstract: Frequency converters produce intermodulation noise in the desired signal band which may be a serious problem for communications systems using amplitude modulation. In this paper, we introduce the Volterra series with time-varying kernels to treat intermodulation in frequency converters with one two-terminal nonlinearity. The method gives exact results up to the order calculated (third order here) for any nonlinearity expressable as a power series, will treat frequency dependence in the nonlinearity as well as the terminations, and leads to a convenient algorithm for computer calculation. The mathematics provides a physical picture of intermodulation of a specific order as being produced by the modulation of lower order products through the nonlinearity. In fact, the solution for a given order of intermodulation currents or charges is the solution of a set of linear equations where the driving functions are intermodulation currents of lower order. A program has been written for the specific but important case of an abrupt junction varactor upconverter. Results for an upconverter that may be used for single-sideband operation in the common carrier microwave band show that the largest contribution to intermodulation comes from currents which are at the sum and difference frequencies of the input (IF) signal corresponding to currents above the input port in frequency and currents in the bias circuitry. This paper documents previously unpublished work (1972) done as part of the exploratory study of single-sideband modulation on long-haul microwave radio transmission.

27 citations

01 Jan 1994
TL;DR: In this article, an analysis of weakly nonlinear band pass filters using Volte rra series is presented, and the Volterra transfer functions for a typical Gm-C biquad are derived analytically and used to quantify and unify the distortion that arises with multiple input sinusoids, specifically gain compression, desensitization, and intermodulation distortion.
Abstract: An analysis of weakly nonlinear band pass filters using Volte rra series is presented. The Volterra transfer functions for a typical Gm-C biquad are derived analytically and used to quantify and unify the distortion that arises with multiple input sinusoids, specifically gain compression, desensitization, and intermodulation disto rt on. A feedback structure that can reduce distortion is analyzed algebraically, and pract ic l examples of the structure are simulated and their distortion terms extracted using a nove l technique. The latter is applied to an actualGm-C biquad in the laboratory and measured performance agrees wi th that predicted by the Volterra analysis.

27 citations

Journal ArticleDOI
TL;DR: In this paper, the nonlinear mixing products that arise and cause distortion in weakly nonlinear bandpass filters that might be used in a radio receiver are considered. And the analysis is used to aid in the characterization of distortion in practice, both in SPICE simulation and laboratory work.
Abstract: In this paper we consider the nonlinear mixing products that arise and cause distortion in weakly nonlinear bandpass filters that might be used in a radio receiver. Volterra series analysis is applied to a G/sub m/-C filter with weak cubic nonlinearities in the transconductance amplifiers so that explicit formulae for the amplitudes of the mixing products can be derived and an architecture for the reduction of distortion proposed, The analysis is used to aid in the characterization of distortion in practice, both in SPICE simulation and laboratory work.

27 citations

Journal ArticleDOI
TL;DR: New magnitude bounds of frequency response functions for nonlinear Volterra systems described by NARX model are established and provide a significant insight into the magnitude based analysis and synthesis of nonlinear systems in the frequency domain.

27 citations

Journal ArticleDOI
Thomas Hélie1, David Roze1
TL;DR: In this paper, the authors propose to solve and simulate various Kirchhoff models of nonlinear strings using Volterra series, where the boundary conditions are simple Dirichlet homogeneous ones or general dynamic conditions (allowing the string to be connected to any system).

27 citations


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