Adaptive Volterra filtering with complete lattice orthogonalization

Ozden M., Kayran A. H., Panayirci E.

IEEE TRANSACTIONS ON SIGNAL PROCESSING, vol.44, no.8, pp.2092-2098, 1996 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Letter
  • Volume: 44 Issue: 8
  • Publication Date: 1996
  • Doi Number: 10.1109/78.533732
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2092-2098
  • Istanbul Technical University Affiliated: Yes


This correspondence presents a new recursive least squares (RLS) adaptive nonlinear filter, based on Volterra series expansion, The main approach is to transform the nonlinear filtering problem into an equivalent multichannel, but linear, filtering problem. Then, the multichannel input signal is completely orthogonalized using sequential processing multichannel lattice stages; With the complete orthogonalization of the input signal, only scalar operations are required, instability problems due to matrix inversion are avoided and, good numerical properties are achieved, Avoidance of matrix inversion and vector operations reduce the complexity considerably, make the filter simple, highly modular and suitable for VLSI implementations. Several experiments demonstrating the fast convergence properties of the filter are also included in the correspondence.