Skip to main content
SpringerLink
Log in

Evaluating the relationship of non-phase locked activities in the electroencephalogram during intermittent stimulation: a partial coherence-based approach

  • Original Article
  • Published:
Medical & Biological Engineering & Computing Aims and scope Submit manuscript

Abstract

Partial coherence estimate between two signals removing the contribution of a periodic, deterministic one is proposed for measuring the coherence between two ongoing eletroencephalografic (EEG) activities collected at distinct cortical regions under sensory stimulation. The estimator expression was derived and shown to be independent of the stimulating signal. Simulations were used for obtaining the critical values for this coherence estimate. The technique was also evaluated throughout simulations and next applied to the EEG from 12 subjects under intermittent photic stimulation at 4 and 6 Hz. In both simulation and EEG data, major differences between partial and simple coherences occurred at the stimulation frequency and harmonics, except for those falling within the alpha band. These findings suggest that the technique is highly selective in removing the contribution of the periodic source. They also indicate high coherence values of the ongoing EEG within the alpha band.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. Anderson TW (1984) An introduction to multivariate statistical analysis, 2nd edn. Wiley, New York

    MATH  Google Scholar 

  2. Bendat JS, Piersol AG (2000) Random data analysis and measurement procedures, 3rd edn. Wiley, New York

    MATH  Google Scholar 

  3. Birca A, Carmant L, Lortie A, Lassonde M (2006) Interaction between the flash evoked SSVEPs and the spontaneous EEG activity in children and adults. Clin Neurophysiol 117(2): 279–288. doi:10.1016/j.clinph.2005.10.001

    Article  Google Scholar 

  4. Carlqvist H, Nikulin VV, Strömberg JO, Brismar T (2005) Amplitude and phase relationshiop between alpha and beta oscillations in the human electroencephalogram. Med Biol Eng Comput 43(5):599–607. doi:10.1007/BF02351033

    Article  Google Scholar 

  5. Chiappa KH (1997) Evoked potentials in clinical medicine, 2nd edn. Raven Press, New York

    Google Scholar 

  6. Hinich MJ (2000) A statistical theory of signal coherence. IEEE J Ocean Eng 25(2):256–261. doi:10.1109/48.838988

    Article  Google Scholar 

  7. Infantosi AFC, Miranda de Sá AMFL (2006) A coherence-based technique for separating phase-locked from non-phase-locked power spectrum estimates during intermittent stimulation. J Neurosci Methods 156(2):267–274. doi:10.1016/j.jneumeth.2006.01.012

    Article  Google Scholar 

  8. Lazarev VV, Simpson DM, Schubsky BM, de Azevedo LC (2001) Photic driving in the electroencephalogram of children and adolescents: harmonic structure and relation to the resting state. Braz J Med Biol Res 34(12): 1573–1584

    Article  Google Scholar 

  9. Miranda de Sá AMFL, Infantosi AFC, Simpson DM (2001) A statistical technique for measuring synchronism between cortical regions in the EEG during rhythmic stimulation. IEEE Trans Biom Eng 48(10):1211–1215. doi:10.1109/10.951526

    Article  Google Scholar 

  10. Miranda de Sá AMFL, Infantosi AFC, Simpson DM (2002) Coherence between one random and one periodic signal for measuring the strength of responses in the electro-encephalogram during sensory stimulation. Med Biol Eng Comput 40 (1):99–104

    Article  Google Scholar 

  11. Miranda de Sá AMFL (2004) A note on the sampling distribution of coherence estimate for the detection of periodic signals. IEEE Signal Process Lett 11(3):323–325. doi:10.1109/LSP.2003.821751

    Article  Google Scholar 

  12. Miranda de Sá AMFL, Felix LB, Infantosi AFC (2004) A matrix-based algorithm for estimating multiple coherence of a periodical signal and its application to the multi-channel EEG during sensory stimulation. IEEE Trans Biomed Eng 51(7):1140–1146. doi:10.1109/TBME.2004.827952

    Article  Google Scholar 

  13. Miranda de Sá AMFL, Infantosi AFC (2005) Evaluating the entrainment of the alpha rhythm during stroboscopic flash stimulation by means of coherence analysis. Med Eng Phys 27(2):167–173. doi:10.1016/j.medengphy.2004.09.011

    Article  Google Scholar 

  14. Nuttall AH (1981) Invariance of distribution of coherence estimate to second-channel statistics. IEEE Trans Acoust Speech Signal Process ASSP 29(1):120–122

    Article  Google Scholar 

  15. Otnes RA, Enochson L (1978) Applied time series analysis, vol 1—basic techniques. Wiley, New York

  16. Pfurtscheller G, Lopes da Silva FH (1999) Event-related EEG/MEG synchronization and desynchronization: basic principles. Clin Neurophysiol 110 (11):1842–1857. doi:10.1016/S1388-2457(99)00141-8

    Article  Google Scholar 

  17. Proakis JG, Manolakis DG (1996) Digital signal processing— principles, algorithms, and applications, 3rd edn. Prentice-Hall, New Jersey

    Google Scholar 

  18. Schwab K, Ligges C, Jungmann T, Hilgenfeld B, Haueisen J, Witte H (2006) Alpha entrainment in human electroencephalogram and magnetoencephalogram recordings. Neuroport 17(17):1829–1833

    Article  Google Scholar 

  19. Searle A, Kirkup L (2001) Detection of alpha electro-encephalogram onset following eye closure using four location-based techniques. Med Biol Eng Comput 43(5):599–607. doi:10.1007/BF02345365

    Google Scholar 

Download references

Acknowledgments

The authors gratefully acknowledge Dr. V. Lazarev and the Laboratory of Clinical Neurophysiology of the Instituto Fernandes Figueira, Rio de Janeiro, in data collection. This work received financial support of the CNPq and FAPERJ.

Author information

Authors and Affiliations

  1. Biomedical Engineering Program, Federal University of Rio de Janeiro, P.O. Box 68510, CEP 21941-972, Rio de Janeiro, Brazil

    Antonio Mauricio F. L. Miranda de Sá & Antonio Fernando C. Infantosi

Authors
  1. Antonio Mauricio F. L. Miranda de Sá
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Antonio Fernando C. Infantosi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Antonio Mauricio F. L. Miranda de Sá.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Miranda de Sá, A.M.F.L., Infantosi, A.F.C. Evaluating the relationship of non-phase locked activities in the electroencephalogram during intermittent stimulation: a partial coherence-based approach. Med Bio Eng Comput 45, 635–642 (2007). https://doi.org/10.1007/s11517-007-0191-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11517-007-0191-0

Keywords

Search

Navigation