Towards Identification of Wiener Systems with the Least Amount of a priori Information on the Nonlinearity: IIR Cases

In this paper, we investigate what constitutes the least amount of a priori information on the nonlinearity so that the linear part is identifiable in the non-Gaussian input case. Three types of a priori information are considered including quadrant information, point information and locally monotonous information. In all three cases, identifiability has been established and the corresponding identification algorithms are developed along with their convergence proofs.