Wiener System identification using B-spline functions with De Boor recursion

Hong, X. ORCID: https://orcid.org/0000-0002-6832-2298, Mitchell, R. and Chen, S. (2011) Wiener System identification using B-spline functions with De Boor recursion. In: SSPD 2011: Sensor Signal Processing for Defence, 27-29 September 2011, Imperial College, London.

Abstract/Summary

A simple and effective algorithm is introduced for the system identification of Wiener system based on the observational input/output data. The B-spline neural network is used to approximate the nonlinear static function in the Wiener system. We incorporate the Gauss-Newton algorithm with De Boor algorithm (both curve and the first order derivatives) for the parameter estimation of the Wiener model, together with the use of a parameter initialization scheme. The efficacy of the proposed approach is demonstrated using an illustrative example.