Identification of Wiener systems with non-invertible nonlinearity

In this paper, we develop a new method to identify Wiener systems. Unlike previous techniques for Winer system identification, our method allows the linear dynamic subsystem to be infinite-impulse response (IIR) and the nonlinear function to be non-differentiable, discontinuous and non-invertible. Two input sequences are designed to estimate the nonlinear function as well as the parameters in the linear system. The convergence analysis is also discussed and the performance of the proposed method is illustrated by simulations.