Nonlinear system modeling based on the Wiener theory

This paper is a tutorial of nonlinear system modeling methods which are based on the Wiener theory of nonlinear systems. The basic concepts that underlie the Wiener theory are discussed and illustrated. Various modeling methods are presented by which a non-linear system can be modeled using either white Gaussian, nonwhite Gaussian, or certain non-Gaussian inputs. The experimental error in determining the Wiener model is discussed in terms of a new concept called measurement stability. Since attempts are being made to apply these modeling methods to diverse areas of study, this paper is written to be comprehensible by nonspecialists in system theory