Skip to main content
Log in

Multilayer volterra filter and its applications

  • Articles
  • Published:
Neural Computing & Applications Aims and scope Submit manuscript

Abstract

The paper presents the application of the successive linearisation to the neural network implementation of the Volterra filter. Applying the signal flow graph approach, the new learning rules for adaptation of weights of the multilayer network structure obtained are given. The multilayer structure presented is applied to signal processing, including identification of the parameters of the plant, noise cancelling and signal prediction. The results of the simulation of the filter in these three basic application modes are presented and discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Widrow B, Steams S. Adaptive Signal Processing, Prentice Hall, New York, 1985

    Google Scholar 

  2. Haykin S. Adaptive Filter Theory, Prentice Hall, New York, 1991

    Google Scholar 

  3. Rauf F, Ahmed HM. Successive linearization: a new approach to non-linear adaptive filtering. Workshop ‘Higher Order Statistics’, Chamrousse, 1991, 293–296

  4. Kuh T, Powers EJ. Second order Volterra filtering and its application to nonlinear system identification. IEEE Trans Acoustics, Speech and Signal Processing 1985;33:1445–1455

    Google Scholar 

  5. Mathews VJ. Adaptive polynomial filters. IEEE SP Magazine 1991:10–26

  6. Hertz J, Krough A, Palmer R. Introduction to the Theory of Neural Computation, Addison Wesley, Amsterdam, 1991

    Google Scholar 

  7. Osowski S. Signal flow graphs and neural networks. Biological Cybernetics 1994;70:387–395

    Google Scholar 

  8. Stark J. Recursive prediction of chaotic time series. J Nonlinear Science 1993:197–223

  9. Osowski S, Vu Quang T. Multilayer neural network structure as Volterra filter. IEEE Proc ISCAS, London 1994:253–256

  10. TUTSIM-Simulation for Design and Analysis, Reference Manual, 1988

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Osowski, S. Multilayer volterra filter and its applications. Neural Comput & Applic 4, 228–236 (1996). https://doi.org/10.1007/BF01413821

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01413821

Keywords

Navigation