Adaptive Volterra filtering with complete lattice orthogonalization


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

IEEE TRANSACTIONS ON SIGNAL PROCESSING, cilt.44, sa.8, ss.2092-2098, 1996 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Kısa Makale
  • Cilt numarası: 44 Sayı: 8
  • Basım Tarihi: 1996
  • Doi Numarası: 10.1109/78.533732
  • Dergi Adı: IEEE TRANSACTIONS ON SIGNAL PROCESSING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2092-2098
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

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.