Identification of the Volterra kernels of nonlinear systems

Abstract

An algorithm is presented for the identification of the Volterra kernels of nonlinear systems using coloured Gaussian excitation. The solution is presented in terms of multidimentisional Z-transforms of the system's kernels. The cases of white Gaussian and non-Gaussian inputs are also considered. The results of a simulation study are included to illustrate the validity of the algorithm.