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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01 Dec 1983TL;DR: In this article, it was shown that with respect to a new "causal" derivative, which is related to the shuffle product, noncommutative generating power series are genuine Taylor expansions.
Abstract: Whenever the time interval is not fixed, i.e., when the dynamics is taken into account, Volterra series are not functional Taylor expansions as too often falsely asserted. It is shown here that with respect to a new "causal" derivative, which is related to the shuffle product, noncommutative generating power series are genuine Taylor expansions. An implicit function theorem is proved.
10 citations
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TL;DR: Evidence that the nonlinearities in speech can be described by a second-order finite memory Volterra operator is given and an algorithm for performing adaptive nonlinear prediction is described and applied to speech coding.
Abstract: Recent studies have shown that the airflow in the vocal tract is highly unstable and oscillates between its walls. Therefore linear prediction speech analysis, which is based on laminar airflow hypothesis, leads to approximate representations. This paper deals with nonlinear speech modeling and its exploitation to high quality medium-rate coding. We first give evidence that the nonlinearities in speech can be described by a second-order finite memory Volterra operator. An algorithm for performing adaptive nonlinear prediction is described. Application of the algorithm to speech coding is then reported and stability and computational issues are discussed. Performance evaluations and comparisons with linear predictive speech coding are reported and show that improvements in coding performances can be obtained.
9 citations
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TL;DR: A new algorithm called the Alternating Recursive Least Squares (ARLS) algorithm is proposed to estimate the parameters of the linear, quadratic and cubic Volterra kernels and its ability to achieve an important complexity reduction and a good identification is shown.
9 citations
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TL;DR: In this article, a novel approach based on fractional correlation is proposed and the application of the subband Volterra series is used in the diagnosis of incipient faults in nonlinear analog circuits.
Abstract: Considering the problem to diagnose incipient faults in nonlinear analog circuits, a novel approach based on fractional correlation is proposed and the application of the subband Volterra series is used in this paper. Firstly, the subband Volterra series is calculated from the input and output sequences of the circuit under test (CUT). Then the fractional correlation functions between the fault-free case and the incipient faulty cases of the CUT are derived. Using the feature vectors extracted from the fractional correlation functions, the hidden Markov model (HMM) is trained. Finally, the well-trained HMM is used to accomplish the incipient fault diagnosis. The simulations illustrate the proposed method and show its effectiveness in the incipient fault recognition capability.
9 citations
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01 Nov 2010TL;DR: In this article, a continuous physics-based electrothermal I-V compact model suitable for the study of intermodulation distortion in GaAs HEMTs and MESFETs is presented.
Abstract: We present a newly developed continuous physics-based electrothermal I–V compact model suitable for the study intermodulation distortion in GaAs HEMTs and MESFETs. The model, which is an improvement of the standard Chalmers model, accurately includes self-heating while significantly minimizing the need for parameter fitting. The model, which is carefully calibrated using experimental data for submicrometer arsenide pHEMTs, is employed to calculate and analyze intermodulation products using the Volterra series method.
9 citations