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A New Approach for Brain Source Position Estimation Based on the Eigenvalues of the EEG Sensors Spatial Covariance Matrix

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World Congress on Medical Physics and Biomedical Engineering 2018

Part of the book series: IFMBE Proceedings ((IFMBE,volume 68/2))

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Abstract

Direction of Arrival (DOA) estimation methods, like MUSIC, can be applied to EEG signals for brain source localization. However, they show a severe degradation at small signal-to-noise ratios on the EEG sensors and for large amounts of brain sources. Inspired on the SEAD method, this article introduces a new method that analyses the eigenvalues of a modified spatial covariance matrix of the EEG signals to produce a two-dimensional spectrum whose peaks more robustly estimate the source positions on a horizontal section of the brain. The key approach is to select the eigenvalues that are less affected by the noise and use them to produce the spectrum. To assess the accuracy and robustness of the proposed method, we compared its root-mean-square-error performance at different noise conditions to those of MUSIC and NSF. The proposed method showed the lowest estimation errors for different amounts of brain sources and grid densities.

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References

  1. Vaid, S., Singh, P., Kaur, C.: EEG Signal Analysis for BCI Interface: A Review. In: 2015 Fifth International Conference on Advanced Computing Communication Technologies, pp. 143–147 (2015). https://doi.org/10.1109/acct.2015.72.

  2. Schuele, S., Lders, H.: Intractable epilepsy: management and therapeutic alternatives. Lancet Neurol (2008).

    Google Scholar 

  3. Vergallo, P.; Lay-Ekuakille, A.: Brain source localization: A new method based on multiple signal classification algorithm and spatial sparsity of the field signal for electroencephalogram measurements. AIP Publishing (2013).

    Google Scholar 

  4. Krim, H., Viberg, M.: Two decades of array signal processing research: the parametric approach. IEEE Signal Processing Magazine, v. 13, n. 4, pp. 6794 (1996).

    Google Scholar 

  5. Ferreira, Y. R., Lemos, R. P.: A new DOA estimation algorithm based on differential spectrum. Proceedings of the Eighth International Symposium on Signal Processing and Its Applications, v. 1, pp. 283286 (2005).

    Google Scholar 

  6. Kunzler, J. et al.: Further investigation on frobenius spectrum for DOA estimation. In: 2015 IEEE 6th Latin American Symposium on Circuits Systems (LASCAS). [S.l.: s.n.], pp. 1–4 (2015).

    Google Scholar 

  7. Malmivuo, J., Plonsey R.: Bioelectromagnetism. Oxford University Press (1995).

    Google Scholar 

  8. Murzin V., Fuchs A., Kelso, J. A. S.: Anatomically constrained minimum variance beamforming applied to EEG. Springer-Verlag (2011).

    Google Scholar 

  9. Salu, Y. et al.: An improved method for localizing electric brain dipoles. IEEE Transactions on Biomedical Engineering, v. 37, n. 7, pp. 699–705 (1990).

    Google Scholar 

  10. Vergallo P. et al.: Processing EEG signals through beamforming techniques for seizure diagnosis. In: 2012 Sixth International Conference on Sensing Technology (ICST), pp. 497–501 (2012).

    Google Scholar 

  11. Vergallo P., Lay-Ekuakille A.: Brain source localization: A new method based on MUltiple SIgnal Classification algorithm and spatial sparsity of the field signal for electroencephalogram measurements. AIP Publishing (2013).

    Google Scholar 

  12. Vergallo P. et al.:Spatial filtering to detect brain sources from EEG measurements. In: 2014 IEEE International Symposium on Medical Measurements and Applications (MeMeA). pp 1–5 (2014).

    Google Scholar 

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Correspondence to Lucas F. Cruz .

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Cruz, L.F., Magalhães, M.G., Kunzler, J.A., Coelho, A.A.S., Lemos, R.P. (2019). A New Approach for Brain Source Position Estimation Based on the Eigenvalues of the EEG Sensors Spatial Covariance Matrix. In: Lhotska, L., Sukupova, L., Lacković, I., Ibbott, G. (eds) World Congress on Medical Physics and Biomedical Engineering 2018. IFMBE Proceedings, vol 68/2. Springer, Singapore. https://doi.org/10.1007/978-981-10-9038-7_50

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  • DOI: https://doi.org/10.1007/978-981-10-9038-7_50

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-9037-0

  • Online ISBN: 978-981-10-9038-7

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