This paper proposes a new reduced complexity Volterra model called S-PARAFAC-Volterra. The proposed model is yielded by using the symmetry property of the Volterra kernels and their tensor decomposition using the PARAFAC technique. It takes advantage from previous results where an algorithm for the estimation of the memory and the order of the Volterra model has been presented. The proposed mod...

In this paper, the new hybrid adaptive Volterra filter was proposed to be applied for compensating the nonlinear distortion of memoryless nonlinear systems with saturation characteristics. Through computer simulations as well as the analytical analysis, it could be shown that it is possible for both conventional Volterra filter and proposed Volterra filter, to be applied for linearizing the mem...

This paper introduces a computationally e cient Gauss-Newton type adaptation algorithm for parallel-cascade realizations of truncated Volterra systems with arbitrary, but nite order nonlinearity. Parallel-cascade realizations implement higher-order Volterra systems using parallel and multiplicative combinations of lower-order Volterra systems. The complexity of our system is comparable to the c...

This paper presents performance analysis of an adaptive Volterra/Hybrid equalizer in a nonlinear magneto-optic data storage channel. In a data storage system, nonlinear intersymbol interference (ISI) is one of the limiting factors for high storage density. Volterra and Hybrid (combination of linear and Volterra) equalizers are proposed and developed for compensation of nonlinear ISI. The use of...

Abstract The Laplace transform method is applied in this article to study the semi-Hyers-Ulam-Rassias stability of a Volterra integro-differential equation order n, with convolution-type kernel. This kind extends original Hyers-Ulam whose originated 1940. A general integral formulated first, and then some particular cases (polynomial function exponential function) for from kernel are considered.

The present paper is concerned with the nonparametric identification of mechanical systems with mild nonlinearities using a Wiener-Volterra model. The paper employs some classical developed results to describe the discrete-time Volterra models using orthonormal Kautz functions. If the two parameters of these filter sets, associated with a Volterra series truncation, are properly designed, the n...

in this paper, existence theorems for the fuzzy volterra-fredholm integral equations of mixed type (fvfiemt) involving fuzzy number valued mappings have been investigated. then, by using banach's contraction principle, sufficient conditions for the existence of a unique solution of fvfiemt are given. finally, illustrative examples are presented to validate the obtained results.

The paper is devoted to studying the existence, uniqueness and certain growth rates of solutions with implicit Volterra-type integrodifferential equations on unbounded from above time scales. We consider case where integrand estimated by Lipschitz type function respect unknown variable. coefficient an rd-function Banach fixed-point theorem at a functional space endowed suitable Bielecki-type no...

The Volterra series model, though a popular tool in modeling many practical nonlinear systems, suffers from the problem of over-parameterization, as too many coefficients need to be identified, requiring very long data records. On the other hand, often it is observed that of all the model coefficients, only a few are prominent while the others are relatively insignificant. The sparsity inherent...

In this paper, we consider a class of impulsive stochastic Volterra-Levin equations. By establishing a new integral inequality, some sufficient conditions for the existence and global attractivity of periodic solution for impulsive stochastic Volterra-Levin equations are given. Our results imply that under the appropriate linear periodic impulsive perturbations, the impulsive stochastic Volterr...