Skip to main content
SpringerLink
Log in

Estimation of signal and noise spectra by special averaging techniques with application to a posteriori “Wiener” filtering

  • Published:
Biological Cybernetics Aims and scope Submit manuscript

Abstract

This paper deals with the problem of separating the spectra of signal and noise in ensembles where the signal can be considered as an invariant component and the noise as a stationary additive background. Several methods are discussed and compared on the basis of a statistical analysis of the first two moments of the estimators for signal and noise spectra. As a consequence a procedure is proposed which provides a flexible compromise between estimation accuracy and computational effort. The application of this procedure to a posteriori “Wiener” filtering is compared with a more common, but time consuming, technique.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Albrecht, V., Lansky, P., Indra, M., Radil-Weiss, T.: Wiener filtration versus averaging of evoked responses. Biol. Cybern. 27, 147–154 (1977)

    Google Scholar 

  • Doyle, D.J.: Some comments on the use of Wiener filtering for the estimation of evoked potentials. Electroenceph. Clin. Neurophysiol. 38, 533–534 (1975)

    Google Scholar 

  • Jenkins, G.M., Watts, D.G.: Spectralanalysis and its applications. San Francisco: Holden Day 1969

    Google Scholar 

  • Schimmel, H.: The (±) reference: accuracy of estimated mean components in average evoked response studies. Science 157, 92–94 (1967)

    Google Scholar 

  • Strackee, J., Cerri, S.A.: Some statistical aspects of digital Wiener filtering and detection of prescribed frequency components in time averaging of biological signals. Biol. Cybern. 28, 55–61 (1977)

    Google Scholar 

  • Ungan, P., Basar, E.: Comparison of Wiener filtering and selective averaging of evoked potentials. Electroenceph. Clin. Neurophysiol. 40, 516–520 (1976)

    Google Scholar 

  • Walter, D.O.: A posteriori “Wiener filtering” of average evoked responses. Electroenceph. Clin. Neurophysiol. Suppl. 27, 61–70 (1969)

    Google Scholar 

  • De Weerd, J.P.C., Martens, W.L.J., Colon, E.J.: Estimation of evoked potentials using time-varying Wiener filtering (abstract). Electroenceph. Clin. Neurophysiol. 43, 476 (1977)

    Google Scholar 

  • De Weerd, J.P.C., Martens, W.L.J.: Theory and practice of a posteriori “Wiener” filtering of average evoked potentials. Biol. Cybern. 30, 81–94 (1978)

    Google Scholar 

  • De Weerd, J.P.C., Martens, W.L.J., Kap, J.L., Colon, E.J., Notermans, S.L.H.: A posteriori time-varying filtering of averaged evoked potentials, in prep. (1979)

Download references

Author information

Author notes

  1. G. J. H. Uyen & P. I. M. Johannesma

    Present address: Laboratory of Medical Physics and Biophysics, University of Nijmegen, Nijmegen, The Netherlands

  2. W. L. J. Martens

    Present address: Department of Biophysics, University of Limburg, Limburg, The Netherlands

Authors and Affiliations

  1. Radboud Hospital, Department of Electroneurology, University of Nijmegen, The Netherlands

    J. P. C. de Weerd, G. J. H. Uyen, P. I. M. Johannesma & W. L. J. Martens

Authors
  1. J. P. C. de Weerd
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. J. H. Uyen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. P. I. M. Johannesma
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. W. L. J. Martens
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

de Weerd, J.P.C., Uyen, G.J.H., Johannesma, P.I.M. et al. Estimation of signal and noise spectra by special averaging techniques with application to a posteriori “Wiener” filtering. Biol. Cybernetics 32, 153–164 (1979). https://doi.org/10.1007/BF00337392

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00337392

Keywords

Search

Navigation