Amplitude and Phase Analysis of EEG Signal by Complex Demodulation

Analysis of amplitude and phase characteristics for delta, theta, and alpha bands at localized time instant from EEG signals is important for the characterizing information processing in the brain. In this paper, complex demodulation method was used to analyze EEG (Electroencephalographic) signal, particularly for auditory evoked potential response signal, with sufficient time resolution and designated frequency bandwidth resolution required. The complex demodulation decomposes raw EEG signal into 3 designated delta, theta, and alpha bands with complex EEG signal representation at sampled time instant, which can enable the extraction of amplitude envelope and phase information. Throughout simulated test data, and real EEG signal acquired during auditory attention task, it can extract the phase offset, phase and frequency changing instant and decomposed amplitude envelope for delta, theta, and alpha bands. The complex demodulation technique can be efficiently used in brain signal analysis in case of phase, and amplitude information required.





References:
[1] Y. Kubotaa, W. Satob, M. Toichic, T. Muraia, T. Okadaa, A. Hayashia, A.
Sengokua, “Frontal midline theta rhythm is correlated with cardiac
autonomic activities during the performance of an attention demanding
meditation procedure”, Cognitive Brain Research, vol. 11, pp. 281–287,
2001.
[2] W. Klimesch, “EEG alpha and theta oscillations reflect cognitive and
memory performance: a review and analysis”, Brain Research Reviews
vol.29, pp.169-195, 1999.
[3] G. C. Galbraith, C. E. Buranahirun, J. Kang, O. V. Ramos, S. E. Lunde,
“ Individual differences in autonomic activity affects brainstem auditory
frequency-following response amplitude in humans,” Neuroscience
Letters, vol. 283, pp. 201-204, 2001.
[4] P. Sauseng*, W. Klimesch, M. Schabus, M. Doppelmayr, “Fronto-parietal
EEG coherence in theta and upper alpha reflect central executive
function”, International Journal of Psychophysiology, vol. 57 pp. 97 – 103,
2005.
[5] F. Varela, J. Lachaux, E. Rodriguez, J. Martinerie, The brainweb: Phase
synchronization and Large-scale integration, Nature Reviews
Neuroscience,vol. 2,pp. 229-239, 2001.
[6] P. Fries, J. H. Reynolds, A. E. Rorie, R. Desimone, Modulation of
Oscillatory Neuronal Synchronization by Selective Visual Attention,
Science, vol.291, pp.1560-1563, Science.
[7] G. Buzzaki, A. Draguhn, Neuronal Oscillations in Cortical Networks,
Science, vol.304, pp.1926-1929, 2004.
[8] 6. N. Yeung, R. Bogacz, C.B.Holroyd, S. Nieuwenhuis, J. Cohen, Theta
phase resetting and the error-related negativity, Psychophysiology,
vol.44, pp. 39-49, 2007.
[9] R. W. Thatcher, D. M. North, C. J. Biver, Intelligence and EEG phase
reset: A compartmental model of phase shift and lock, Neuroimage,
vol.42, pp.1639-1653, 2008.
[10] Draganova, D. Popivanov, Assessment of EEG frequency dynamics using
complex demodulation, Physiological Research, 48, 157-165, 1999.
[11] A. P. Key, G. O. Dove, M. J. Maquire, Linking brain waves to the brain:
an ERP primer, Dev Neuropsychol. Vol.27(2), pp.183-215, 2005.