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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TL;DR: A method is proposed for interpreting the behaviour of NARX neural networks, a correspondence between time-delay neural networks and Volterra series, which can be viewed as higher-order analogues of the Frequency Response Functions commonly used in Engineering dynamics.
30 citations
TL;DR: It is shown that a nonlinear MIMO system can be replaced by a linear system plus a non linear noise source and the optimized measurement strategy is proposed to measure the nonparametric FRF.
Abstract: A nonlinear multiple-input-multiple-output (MIMO) Volterra system, measured with random multisine signals, can be replaced by an approximating linear MIMO system followed by nonlinear-noise sources. This approximation is a straightforward extension of the approximation to single-input-single-output Volterra systems. For a two-input-two-output cubic system, an optimized measurement strategy is also proposed to reduce as much as possible the influence of nonlinear noise on the measurement of the nonparametric frequency-response function
30 citations
22 Apr 2002
30 citations
TL;DR: In this paper, the Cumulant-Neglect closure scheme is applied to truncate the governing differential equations for statistical moments of the response variables at two different times, and the truncated equations in the time domain are transformed to a set of linear algebraic equations, which include the response spectral densities as unknowns.
29 citations
TL;DR: Experimental results show that the proposed modified canonical piecewise-linear function (CPWL)-based model nearly gives the same normalized mean square error performance as the DVR model when a wideband Doherty power amplifier is excited by a 5-carrier long-term evolution advanced signal of 100 MHz bandwidth.
Abstract: A band-limited canonical piecewise-linear function (CPWL)-based model is proposed for wideband power amplifiers (PAs). The model has a similar structure of the band-limited dynamic deviation reduction (DDR) Volterra series model but without high-order terms and long finite impulse response filters, which are replaced by CPWL. The model has lower complexity and more flexibility than the band-limited DDR Volterra series model and the model parameters can be estimated by the least-square method. Experimental results show that the proposed model nearly gives the same normalized mean square error and digital predistortion performance as the band-limited Volterra series when a wideband PA is excited by a 5-carrier long-term evolution advanced signal of 100-MHz bandwidth.
29 citations