Nonparametric Identificationofwiener Systems - a Median Based Approach

A new identification algorithm for estimation of nonlinear characteristic in Wiener system with FIR linear element under existence of random noise is proposed. The assumptions imposed on unknown characteristic are weak. The algorithm is based on the idea of local median computing. The convergence in probability of the estimate is proved for each continuity point of the unknown characteristic. The question of the convergence rate is discussed. Sample illustrative experimental results are included.