Nonlinear system identification using deterministic multilevel sequences


Kayran A. H. , Eksioglu E. M.

CIRCUITS SYSTEMS AND SIGNAL PROCESSING, cilt.24, ss.151-181, 2005 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 24 Konu: 2
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1007/s00034-004-0126-z
  • Dergi Adı: CIRCUITS SYSTEMS AND SIGNAL PROCESSING
  • Sayfa Sayıları: ss.151-181

Özet

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.