Nonlinear system identification using deterministic multilevel sequences

Kayran A. H. , Eksioglu E. M.

CIRCUITS SYSTEMS AND SIGNAL PROCESSING, vol.24, no.2, pp.151-181, 2005 (SCI-Expanded) identifier identifier


A new exact method of measuring the Volterra kernels of finite-order discrete nonlinear systems is presented. The kernels are rearranged in terms of multivariate cross-products in vector form. The one-, two-,..., and l-dimensional kernel vectors are determined using a deterministic multilevel sequence with l distinct levels at the input of the system. It is shown that the defined multilevel sequence with l distinct levels is persistently exciting for a truncated Volterra filter with nonlinearities of polynomial degree l.. Examples demonstrating the rearrangement of the Volterra kernels and a novel method for estimation of the kernels are presented. Simulation results are given to illustrate the effectiveness of the proposed method.