Abstract
A new method is introduced for estimating single-trial magneto- or electro-encephalography (M/EEG), based on a non-linear fit of time-frequency atoms. The method can be applied for transient activity (e.g. event-related potentials) as well as for oscillatory activity (e.g. gamma bursts), and for both evoked or induced activity. In order to benefit from all the structure present in the data, the method accounts for (i) spatial structure of the data via multivariate decomposition, (ii) time-frequency structure via atomic decomposition and (iii) reproducibility across trials via a constraint on parameter dispersion. Moreover, a novel iterative method is introduced for estimating the initial time-frequency atoms used in the non-linear fit. Numerical experiments show that the method is robust to low signal-to-noise conditions, and that the introduction of the constraint on parameter dispersion significantly improves the quality of the fit.
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Tallon-Baudry, C., Bertrand, O., Delpuech, C., Pernier, J.: Stimulus specificity of phase-locked and non-phase-locked 40 hz visual responses in human. J. Neurosci. 16(13), 4240–4249 (1996)
Jung, T., Makeig, S., Westerfield, M., Townsend, J., Courchesne, E., Sejnowski, T.: Analysis and visualization of single-trial event-related potentials. Human Brain Mapping 14, 166–185 (2001)
Canolty, R., Edwards, E., Dalal, S., Soltani, M., Nagarajan, S., Kirsch, H., Berger, M., Barbaro, N., Knight, R.: High gamma power is phase-locked to theta oscillations in human neocortex. Science 313(5793), 1626–1628 (2006)
Bénar, C., Schön, D., Grimault, S., Nazarian, B., Burle, B., Roth, M., Badier, J., Marquis, P., Liegeois-Chauvel, C., Anton, J.: Single-trial analysis of oddball event-related potentials in simultaneous EEG-fMRI. Human Brain Mapping (in press)
Quian Quiroga, R., Garcia, H.: Single-trial event-related potentials with wavelet denoising. Clin. Neurophysiol. 114(2), 376–390 (2003)
Benkherrat, M., Burle, B., Allain, S., Hasbroucq, T., Vidal, F.: Individual evoked potential extraction by multiresolution wavelets decomposition. In: Proceedings EUROCON2005 (2005)
Wang, Z., Maier, A., Leopold, D., Logothetis, N., Liang, H.: Single-trial evoked potential estimation using wavelets. Comput. Biol. Med. (in press)
Durka, P., Zygierewicz, J., Klekowicz, H., Ginter, J., Blinowska, K.: On the statistical significance of event-related eeg desynchronization and synchronization in the time-frequency plane. IEEE Trans. Biomed. Eng. 51(7), 1167–1175 (2004)
Kahana, M.: The cognitive correlates of human brain oscillations. J. Neurosci. 26(6), 1669–1672 (2006)
Fell, J., Fernandez, G., Klaver, P., Elger, C., Fries, P.: Is synchronized neuronal gamma activity relevant for selective attention? Brain Res. Rev. 42, 265–272 (2003)
Ranta-aho, P., Koistinen, A., Ollikainen, J., Kaipio, J., Partanen, J., Karjalainen, P.: Single-trial estimation of multichannel evoked-potential measurements. IEEE Trans. Biomed. Eng. 50(2), 189–196 (2003)
Madsen, K., Nielsen, H., Tingleff, O.: Methods for Non-Linear Least Squares Problems, 2nd edn. IMM DTU (2004)
Makeig, S.: Auditory event-related dynamics of the eeg spectrum and effects of exposure to tones. Electroencephalogr. Clin. Neurophys. 86(4), 283–293 (1993)
Mallat, S., Zhang, Z.: Matching pursuit with time-frequency dictionaries. IEEE Trans. Signal Processing 41(12), 3397–3415 (1993)
Croux, C., Dhaene, G., Hoorelbeke, D.: Robust standard errors for robust estimators. Research Report DTEW 0367, K.U.Leuven (2003)
de Munck, J., Vijn, P., da Silva, F.L.: A random dipole model for spontaneous brain activity. IEEE Trans. Biomed. Eng. 39(8), 791–804 (1992)
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Bénar, C., Clerc, M., Papadopoulo, T. (2007). Adaptive Time-Frequency Models for Single-Trial M/EEG Analysis. In: Karssemeijer, N., Lelieveldt, B. (eds) Information Processing in Medical Imaging. IPMI 2007. Lecture Notes in Computer Science, vol 4584. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73273-0_38
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DOI: https://doi.org/10.1007/978-3-540-73273-0_38
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73272-3
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