The adaptation of Volterra lters by one particular method, the method of least mean squares (LMS), while easily implemented, is complicated by the fact that upper bounds for the values of step sizes employed by a parallel update LMS scheme are diicult to obtain. In this paper, we propose a modiication of the Volterra lter in which the lter weights of a given order are optimized independently of...

This paper presents an innovative Non-Linear Receiver (NLR) for the high density optical channel. This receiver is based on the combination of Maximum Likelihood Sequence Estimation (MLSE) and nonlinear Inter-Symbol Interference (ISI) cancellation. For the nonlinear channel description a suitable model based on the Volterra series has been adopted. Simulation results show that the proposed NLR ...

The Lotka-Volterra equations have been at the root of almost every investigation into population dynamics for the last few decades. They predict the existence of population cycles in which the period is an important parameter. It is well known that (1.1) has a one-parameter family of periodic solutions with the equilibrium (y/S, a//3) as center point. Volterra 131 computed that for small distur...

In this paper, we investigate a coded solution to compensate for the nonlinear distortion of TDMA satellite waveforms. Based on a Volterra-type channel model and the turbo principle, we present a turbo-like system that includes a simple rate-1 encoder at the transmit side in addition to a conventional channel encoder; the receive side iteratively equalizes the nonlinear channel effect and decod...

Glucose–insulin interactions in the Type I diabetic patient are approximated in an input–output sense using a third–order Volterra series model. Due to the large number of unique coefficients present in a third–order model, efficient parameter identification methods are developed. Several pruned model structures were examined, and maximum dynamic accuracy was obtained when a linear plus nonline...

Highly reliable embedded systems have been widely applied in the fields of aerospace, nuclear power, high-speed rail, etc., which are related to security and economic development. The reliability of the power supply directly influences the security of the embedded system, and has been the research focus of numerous electronic information and energy studies. The degradation of power modules occu...

In this paper, an improved algorithm of wavelet packet-chaos model for life prediction of space relays based on volterra series is proposed. In the proposed method, the high and low frequency time sequence components of performance parameters are obtained by employing the improved wavelet packet transform to decompose the performance parameters of the relay into multiple scales. Then the optimi...

Convergence of power series solutions for a class of non-linear Abel type equations, including an equation that arises in nonlinear cooling of semi-infinite rods, is very slow inside their small radius of convergence. Beyond that the corresponding power series are wildly divergent. Implementation of nonlinear sequence transformation allow effortless evaluation of these power series on very larg...

A general charaelerization of multi-input 1'1Ovcmcnt (!clt'ctioH . models is given in terms of tl.e Volterra series formalism. Wheil nonlinearities of order higher than the second arc ncgligibk, an II-input system can be decomposed into a sd of 2-input systems, summing lillearly. For a isymmdrical) 2-inpllt system which h;!s sigllifjcanlnonline:iri~ics only lip 10the second order, (he correlati...

In this paper, a transform domain normalised partially decoupled LMS (TP-LMS) algorithm is proposed based on the partially decoupled transform domain Volterra filter. It is formulated by applying an orthogonal transform to the first order of the partially decoupled Volterra filter, in which the filter weights of a given order are optimised independently of those in the higher order. This approa...