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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.


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Proceedings ArticleDOI
28 May 2000
TL;DR: Off-line eliminate the nonlinear distortion of the loudspeaker system with the Volterra kernel measured by the novel method and show the method's effectiveness.
Abstract: Modeling a loudspeaker system with the Volterra series expansion is essential to eliminate the nonlinear distortion. We have proposed a method for measuring the Volterra kernel of a loudspeaker system by multi sinusoidal waves. This method, however, has the problems of not considering the phase property of the nonlinear element and the third-order distortion. Therefore, we propose a novel method measuring the second-order Volterra kernel by multi sinusoidal waves. In this method, the phase property of the nonlinear element and the third-order distortion are considered. Moreover, we off-line eliminate the nonlinear distortion of the loudspeaker system with the Volterra kernel measured by the novel method and show the method's effectiveness.

24 citations

Journal ArticleDOI
TL;DR: In this article, an empirical model for field effect transistor (FET) based power detectors is presented, which constitutes a Volterra analysis based on a Taylor series expansion of the drain current together with a linear embedding small-signal circuit.
Abstract: An empirical model for field-effect transistor (FET) based power detectors is presented. The electrical model constitutes a Volterra analysis based on a Taylor series expansion of the drain current together with a linear embedding small-signal circuit. It is fully extracted from S-parameters and IV curves. The final result are closed-form expressions for the frequency dependence of the noise equivalent power (NEP) in terms of the FET intrinsic capacitances and parasitic resistances. Excellent model agreement to measured NEP of coplanar access graphene FETs with varying channel dimensions up to 67 GHz is obtained. The influence of gate length on responsivity and NEP is theoretically and experimentally studied.

24 citations

Journal ArticleDOI
TL;DR: In this article, a wavelet balance method-based approach is proposed to identify the Volterra kernel functions from observations of the in-and outgoing signals, which is a powerful mathematical tool for nonlinear system analysis.
Abstract: Volterra series is a powerful mathematical tool for nonlinear system analysis, which extends the convolution integral for linear system to nonlinear system. There is a wide range of nonlinear engineering systems and structures which can be modeled as Volterra series. One question involved in modeling a functional relationship between the input and output of a system using Volterra series is to identify the Volterra kernel functions. In this article, a wavelet balance method-based approach is proposed to identify the Volterra kernel functions from observations of the in- and outgoing signals. The basic routine of the approach is that, from the system outputs under multilevel excitations, the Volterra series outputs of different orders are first estimated with the wavelet balance method, and then the Volterra kernel functions of different orders are separately estimated through their corresponding Volterra series outputs by expanding them with four-order B-spline wavelet on the interval. The simulation studies verify the effectiveness of the proposed Volterra kernel identification method.

24 citations

Journal ArticleDOI
TL;DR: In this paper, the authors proposed an alternative nonlinear equalizer architecture based on machine learning, which outperformed Volterra and memory polynomial Volterras equalizers up to 6th orders at a target bit-error rate (BER) of 10 − 2 by 0.5 dB and 0.8 dB in optical signal-to-noise ratio (OSNR), respectively.
Abstract: Nonlinear distortion has always been a challenge for optical communication due to the nonlinear transfer characteristics of the fiber itself. The next frontier for optical communication is a second type of nonlinearities, which results from optical and electrical components. They become the dominant nonlinearity for shorter reaches. The highest data rates cannot be achieved without effective compensation. A classical countermeasure is receiver-side equalization of nonlinear impairments and memory effects using Volterra series. However, such Volterra equalizers are architecturally complex and their parametrization can be numerical unstable. This contribution proposes an alternative nonlinear equalizer architecture based on machine learning. Its performance is evaluated experimentally on coherent 88 Gbaud dual polarization 16QAM 600 Gb/s back-to-back measurements. The proposed equalizers outperform Volterra and memory polynomial Volterra equalizers up to 6th orders at a target bit-error rate (BER) of 10 − 2 by 0.5 dB and 0.8 dB in optical signal-to-noise ratio (OSNR), respectively.

24 citations

Journal ArticleDOI
TL;DR: In this paper, the physical mechanisms involved in the actuation response by studying the nonlinear harmonic distortion of ionic polymers were investigated. But the authors focused on the Volterra series and not on the solvents.
Abstract: Ionic polymer transducers exhibit coupling between three physical domains: electrical, chemical, and mechanical. This coupling enables their use as both sensors and actuators. Because this phenomenon was only recently discovered, the fundamental mechanisms governing the actuation and sensing response are still open for debate. However, since ionic polymers are very compliant, low-voltage transducers have become an increasingly researched intelligent material. In this paper we aim to gain a better understanding of the physical mechanisms involved in the actuation response by studying the nonlinear harmonic distortion. The Volterra series was the chosen identification technique for its potential to extract information about the nonlinearities. Results show that the solvent appears to play a significant role in the actuation response, as evidenced by a changing distortion from different solvents.

24 citations


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