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Identification of Linear Systems with Nonlinear Distortions
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TLDR
A theoretical framework is proposed that extends the linear system description to include the impact of nonlinear distortions: the nonlinear system is replaced by a linear model plus a 'nonlinear noise source'.Abstract:
This paper studies the impact of nonlinear distortions on linear system identification. It collects a number of previously published methods in a fully integrated approach to measure and model these systems from experimental data. First a theoretical framework is proposed that extends the linear system description to include the impact of nonlinear distortions: the nonlinear system is replaced by a linear model plus a 'nonlinear noise source'. The class of nonlinear systems covered by this approach is described and the properties of the extended linear representation are studied. These results are used to design the experiments; to detect the level of the nonlinear distortions; to measure efficiently the 'best' linear approximation; to reveal the even or odd nature of the nonlinearity; to identify a parametric linear model; and to improve the model selection procedures in the presence of nonlinear distortions.read more
Citations
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Extracting a Non-parametric Instantaneous FRF of a Linear, Slowly Time-Varying system using a Multisine Excitation
John Lataire,Rik Pintelon +1 more
TL;DR: In this article, a non-parametric method for extracting information about the instantaneous dynamics of a slowly time-varying system is proposed. But the method assumes that the system is described by a linear ordinary differential equation whose coefficients are varying piecewise linearly with time, and these variations are slow w.r.t.
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Analysis of the nonlinear induced variance in linear system identification
TL;DR: In this article, the variance of the nonparametric frequency response function (FRF) can still be obtained from the experimental data using the classical variance formulas, however, for parametric estimates Ĝ BLA ( q, θ), an increased variance is observed.
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New connections between frequency response functions for a class of nonlinear systems
DJ David Rijlaarsdam,DJ David Rijlaarsdam,Tom Oomen,P.W.J.M. Nuij,Johan Schoukens,M Maarten Steinbuch +5 more
TL;DR: In this paper, a relation between different frequency response functions has been established and sufficient conditions for this relation to exist and results on uniqueness and equivalence of the HOSIDF and GFRF are provided.
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Improved crest factor minimization of multisine excitation signals using nonlinear optimization
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Nonlinear noise spectrum measurement using a probability-maintained noise power ratio method
Tong Ye,Xiaofei Su,Ke Zhang,Chen-Chia Yang,Jingnan Li,Yangyang Fan,Hisao Nakashima,Takeshi Hoshida,Zhenning Tao +8 more
TL;DR: In this article , a probability-maintained (PM) NPR method is proposed to accurately measure the spectrum of nonlinear noise via a spectrum analyzer in non-specific systems, including systems with non-Gaussian stimuli.
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