The paper deals with the identification of linear systems when they are in a pathway in series with a saturation nonlinearity. The objective is to estimate the parameters of the linear system and to obtain some characterisation of the nonlinearity, using only the input and output signals of the pathway. Both Wiener structures and Hammerstein structures are considered, and it is found that pertu...

In this paper we present a simple closed-form solution to the Wiener–Hammerstein (W–H) identification problem. The identification process occurs in the log-frequency domain where magnitudes and phases are separable. We show that the theoretically optimal W–H identification is unique up to an amplitude, phase and delay ambiguity, and that the nonlinearity enables the separate identification of t...

This paper presents an original approach for blind deconvolution of a nonlinear communication channel using a criterion based on the secondand fourth-order moments of the input sequence. This approach is a simple extension of kurtosis maximization a method well known in a linear blind identification. We illustrate through a simple example that kurtosis maximization may also be used in a general...

Two classes of block oriented models of the Wiener–Hammerstein type are considered. We prove that a generic condition is sufficient for a null controllable discrete-time system of this form to have a stabilizing minimum-time dead-beat controller. When the condition is violated, we show how to design a nonminimum time stabilizing (dynamic) dead-beat controller. The result is used to obtain stabi...

hammerstein-wiener (hw) models are capable in describing nonlinear dynamic systems. these models are nonlinear and have been widely used in a wide range of sciences due to their simplicity and having a physically-based concept. in this research, for the first time in hydrology and water resources management, three different structures of these models using daily temperature and precipitation da...

In this paper, we give some observation of applying modern optimization methods for functionals describing digital predistortion (DPD) signals with orthogonal frequency division multiplexing (OFDM) modulation. The considered family model is determined by the class cascade Wiener--Hammerstein models, which can be represented as a computational graph consisting various nonlinear blocks. To assess...