Initial Estimates for Wiener-Hammerstein Models using the Best Linear Approximation

Abstract

In this paper, a method is proposed to initialize the linear dynamic blocks of a Wiener-Hammerstein model. The idea is to build these blocks from the poles and the zeros of the best linear approximation of the system under test, which can easily be extracted from the data. This approach results in an easy to solve problem (linear-in-the-parameters) from which initial estimates for the linear dynamics can be obtained. The proposed method is applied to simulation data from a Wiener-Hammerstein system.