A Method for Identifying Volterra Kernels of Nonlinear System

Abstract

In this paper, a new method for obtaining Volterra kernels of a nonlinear system by use of pseudorandom M-sequences and correlation technique is proposed and some applications for nonlinear system identification are shown.
Most of nonlinear systems can be represented by Volterra series. M-sequences are applied to a nonlinear system and the cross-correlation function between the input and the output displays not only the linear impulse response of the linear part of the system, but also crosssections of the high-order Volterra kernel of nonlinear system.
Simulations are carried out for system which contains up to 3rd order Volterra kernels. The results show a good agreement with the theoretical considerations.