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2014 | OriginalPaper | Chapter

8. An Introduction to EEG Source Analysis with an Illustration of a Study on Error-Related Potentials

Authors : Marco Congedo, Sandra Rousseau, Christian Jutten

Published in: Guide to Brain-Computer Music Interfacing

Publisher: Springer London

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Abstract

Over the last twenty years, blind source separation (BSS) has become a fundamental signal processing tool in the study of human electroencephalography (EEG), other biological data, as well as in many other signal processing domains such as speech, images, geophysics, and wireless. This chapter introduces a short review of brain volume conduction theory, demonstrating that BSS modeling is grounded on current physiological knowledge. Then, it illustrates a general BSS scheme requiring the estimation of second-order statistics (SOS) only. A simple and efficient implementation based on the approximate joint diagonalization of covariance matrices (AJDC) is described. The method operates in the same way in the time or frequency domain (or both at the same time) and is capable of modeling explicitly physiological and experimental source of variations with remarkable flexibility. Finally, this chapter provides a specific example illustrating the analysis of a new experimental study on error-related potentials.

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previous chapter A Tutorial on EEG Signal-processing Techniques for Mental-state Recognition in Brain–Computer Interfaces

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Such processes are called colored, in opposition to iid processes, which are called white.

This paper does not consider SOS but fourth-order statistics; however, the algorithms are based on approximate joint diagonalization of matrices which are the slices of the tensor of fourth-order cumulants and thus can be used for SOS matrices as well.

Two vectors are collinear if they are equal out of a scaling factor, that is, the energy profile is proportional.

Afsari B (2008) Sensitivity analysis for the problem of matrix joint diagonalization. SIAM J Matrix Ana Appl 30(3):1148–1171MathSciNetCrossRef

Aïssa-El-Bey A, Abed-Meraim K, Grenier Y, Hua Y (2008) A general framework for second order blind separation of stationary colored sources. Sig Process 88(9):2123–2137CrossRefMATH

Ans B, Hérault J, Jutten C (1985) Adaptive neural architectures: detection of primitives. In: Proceedings of COGNITIVA, pp 593–597

Bell AJ, Sejnowski TJ (1995) An information-maximization approach to blind separation and blind deconvolution. Neural Comput 7:1129–1159CrossRef

Belouchrani A, Amin MG (1998) Blind source separation based on time-frequency signal representations. IEEE Trans Signal Process 46(11):2888–2897CrossRef

Belouchrani A, Abed-Meraim K, Cardoso JF, Moulines E (1997) A blind source separation technique using second order statistics’. IEEE Trans Signal Process 45(2):434–444CrossRef

Bloomfield P (2000) Fourier analysis of time series. Wiley, New YorkCrossRefMATH

Brett M, Anton J-L, Valabregue R, Poline J-B (2002) Region of interest analysis using an SPM toolbox [abstract]. In: Presented at the 8th international conference on functional mapping of the human brain, 2–6 June 2002, Sendai, Japan. Available on CD-ROM in NeuroImage 16(2)

Buzsaki G (2006) Rhythms of the Brain. Oxford University Press, London

Cardoso J-F (1998) Blind signal separation: statistical principles. IEEE Proc 9(10):2009–2025CrossRef

Cardoso JF, Souloumiac A (1993) Blind beamforming for non-Gaussian signals. IEE Proc-F (Radar Signal Process) 140(6):362–370CrossRef

Chatel-Goldman J, Congedo M, Phlypo R (2013) Joint BSS as a natural analysis framework for EEG-hyperscanning (in press)

Comon P (1994) Independent component analysis, a new concept? Sig Process 36(3):287–314CrossRefMATH

Comon P, Jutten C (2010) Handbook of Blind Source Separation: Independent component analysis and applications. Academic Press, London

Congedo C, Gouy-Pailler C, Jutten C (2008) On the blind source separation of human electroencephalogram by approximate joint diagonalization of second order statistics. Clin Neurophysiol 119(12):2677–2686CrossRef

Congedo M, John ER, De Ridder D, Prichep L (2010) Group independent component analysis of resting-state EEG in large normative samples. Int J Psychophysiol 78:89–99CrossRef

Congedo M, Phlypo R, Chatel-Goldman J (2012) Orthogonal and non-orthogonal joint blind source separation in the least-squares sense. In: 20th European signal processing conference (EUSIPCO), 27–31 Aug, Bucharest, Romania, pp 1885–1889

Congedo M, Phlypo R, Pham D-T (2011) Approximate joint singular value decomposition of an asymmetric rectangular matrix set. IEEE Trans Signal Process 59(1):415–424MathSciNetCrossRef

Darmois G (1953) Analyse générale des liaisons stochastiques. Rev Inst Inter Stat 21:2–8MathSciNetCrossRefMATH

Delorme A, Makeig S (2004) EEGLAB: an open source toolbox for analysis of single-trial EEG dynamics including independent component analysis. J Neurosci Methods 134(1):9–21CrossRef

Falkenstein M, Hohnsbein J, Hoormann J (1991) Effects of crossmodal divided attention on late ERP components. II. Error processing in choice reaction tasks. Electroencephalogr Clin Neurophysiol 78:447–455CrossRef

Farquhar J, Hill NJ (2013) Interactions between pre-processing and classification methods for event-related-potential classification : best-practice guidelines for brain–computer interfacing. Neuroinformatics 11(2):175–192CrossRef

Fuchs M, Kastner J, Wagner M, Hawes S, Ebersole JS (2002) A standardized boundary element method volume conductor model. Clin Neurophysiol 113(5):702–712CrossRef

Gehring WJ, Goss B, Coles MGH, Meyer DE, Donchin E (1993) A neural system for error detection and compensation. Psychol Sci 4(Suppl 6):385–390

Gehring WJ, Willoughby AR (2002) The medial frontal cortex and the rapid processing of monetary gains and losses. Science 295(5563):2279–2282CrossRef

Gentsch A, Ullsperger P, Ullsperger M (2009) Dissociable medial frontal negativities from a common monitoring system for self- and externally caused failure of goal achievement. Neuroimage 47(4):2023–2030CrossRef

Gouy-Pailler C, Congedo M, Brunner C, Jutten C, Pfurtscheller G (2010) Nonstationary brain source separation for multiclass motor imagery. IEEE Trans Biomed Eng 57(2):469–478CrossRef

Greenblatt RE, Ossadtchi A, Pflieger ME (2005) Local Linear Estimators for Bioelectromagnetic Inverse Problem. IEEE Trans Signal Process 53(9):3403–3412

Grosse-Wentrup M, Buss M (2008) Multiclass common spatial patterns and information theoretic feature extraction. IEEE Trans Biomed Eng 55(8):1991–2000CrossRef

Hérault J, Jutten C (1986) Space or time adaptive signal processing by neural network models. In: Proceedings of international conference neural netw computing, Snowbird (Utah), vol 151, pp 206–211

Herrmann MJ, Römmler J, Ehlis AC, Heidrich A, Fallgatter AJ (2004) Source localization (LORETA) of the error-related-negativity (ERN/Ne) and positivity (Pe). Cogn Brain Res 20(2):294–299CrossRef

Holmes AP, Blair RC, Watson JDG, Ford I (1996) Non-parametric analysis of statistic images from functional mapping experiments. J Cereb Blood Flow Metab 16:7–22CrossRef

Jurcak V, Tsuzuki D, Dan I (2007) 10/20, 10/10, and 10/5 systems revisited: their validity as relative head-surface-based positioning systems. Neuroimage 34(4):1600–1611CrossRef

Jutten C, Hérault J (1991) Blind separation of sources, Part 1: an adaptive algorithm based on neuromimetic architecture. Signal Process 24(1):1–10CrossRefMATH

Kopřivová J, Congedo M, Horáček J, Praško J, Raszka M, Brunovský M, Kohútová B, Höschl C (2011) EEG source analysis in obsessive–compulsive disorder. Clin Neurophysiol 122(9):1735–1743CrossRef

Lancaster JL, Woldor MG, Parsons LM, Liotti M, Freitas CS, Rainey L, Kochunov PV, Nickerson D, Mikiten SA, Fox PT (2000) Automated Talairach atlas labels for functional brain mapping. Hum Brain Mapp 10(3):120–131CrossRef

Lopes da Silva F (2005) Event related potentials: methodology and quantification. In: Niedermeyer E, Lopes da Silva F (eds) Electroencephalography. Basic principles, clinical applications, and related fields, 5th edn. Lippincott Williams & Wilkins, New York, pp 991–1001

Lopes da Silva F, Van Rotterdam A (2005) Biophysical aspects of EEG and magnetoencephalogram generation. In: Niedermeyer E, Lopes da Silva F (eds) Electroencephalography. Basic principles, clinical applications, and related fields, 5th edn. Lippincott Williams & Wilkins, New York, pp 107–125

Luu P, Tucker DM, Makeig S (2004) Frontal midline theta and the error-related negativity: neurophysiological mechanisms of action regulation. Clin Neurophysiol 115(8):1821–1835CrossRef

Matsuoka K, Ohya M, Kawamoto M (1995) A neural net for blind separation of nonstationary signals. Neural Netw 8(3):411–419CrossRef

Mazziotta J, Toga A, Evans A, Fox P, Lancaster J, Zilles K, Woods R, Paus T, Simpson G, Pike B et al (2001) A probabilistic atlas and reference system for the human brain: International consortium for brain mapping (icbm). Philos Trans R Soc Lond Ser B: Biol Sci 356(1412):1293–1322

Miltner WHR, Braun CH, Coles MGH (1997) Event-related brain potentials following incorrect feedback in a time-estimation task: evidence for a generic neural system for error detection. J Cogn Neurosci 9(6):788–798CrossRef

Molgedey L, Schuster HG (1994) Separation of a mixture of independent signals using time delayed correlations. Phys Rev Lett 72:3634–3636CrossRef

Niedermeyer E (2005a) The normal EEG of the waking Adult. In: Niedermeyer E, Lopes da Silva F (eds) Electroencephalography. Basic principles, clinical applications, and related fields, 5th edn. Lippincott Williams & Wilkins, New York, pp 167–191

Niedermeyer E (2005b) Sleep and EEG. In: Niedermeyer E, Lopes da Silva F (eds) Electroencephalography. Basic principles, clinical applications, and related fields, 5th edn. Lippincott Williams & Wilkins, New York, pp 193–207

Nieuwenhuis S, Yeung N, Van Den Wildenberg W, Ridderinkhof KR (2003) Electrophysiological correlates of anterior cingulate function in a go/no-go task: effects of response conflict and trial type frequency. Cogn Affect Behav Neurosci 3(1):17–26CrossRef

Nunez PL, Srinivasan R (2006) Electric field of the brain, 2nd edn. Oxford University Press, New YorkCrossRef

Oostenveld R, Fries P, Maris E, Schoffelen JM (2011) Fieldtrip: open source software for advanced analysis of MEG, EEG, and invasive electrophysiological data. Comput Intell Neurosci 1:ID156869

Pascual-Marqui RD (2002) Standardized low-resolution brain electromagnetic tomography (sLORETA): technical details. Meth Find Exp Clin Pharma 24D:5–12

Pham D-T (2002) Exploiting source non stationary and coloration in blind source separation. Digital Signal Process 1:151–154

Pham D-T, Cardoso J-F (2001) Blind separation of instantaneous mixtures of non stationary sources. IEEE Trans Signal Process 49(9):1837–1848MathSciNetCrossRef

Pfurtscheller G (1981) Central beta rhythm during sensorimotor activities in man. Electroencephalogr Clin Neurophysiol 51(3):253–264CrossRef

Pfurtscheller G, Lopes da Silva F (1999) Event-related eeg/meg synchronization and desynchronization: basic principles. Clin Neurophysiol 110(11):1842–1857CrossRef

Sarvas J (1987) Basic mathematical and electromagnetic concepts of the biomagnetic inverse problem. Phys Med Biol 32(1):11–22CrossRef

Souloumiac A (1995) Blind source detection and separation using second order nonstationarity. In: Proceedings of ICASSP, pp 1912–1915

Speckmann E-J, Elger CE (2005) Introduction to the neurophysiological basis of the EEG and DC potentials. In: Niedermeyer E, Lopes da Silva F (eds) Electroencephalography. Basic principles, clinical applications, and related fields. 5th edn. Lippincott Williams & Wilkins, New York, pp 17–29

Steinhauser M, Kiesel A (2011) Performance monitoring and the causal attribution of errors. Cogn Affect Behav Neurosci 1–12

Steriade M (2005) Cellular substrates of brain rhythms. In: Niedermeyer E, Lopes da Silva F (eds) Electroencephalography. Basic principles, clinical applications, and related fields. 5th edn. Lippincott Williams & Wilkins, New York, pp 31–83

Talairach J, Tournoux P (1988) Co-planar stereotaxic atlas of the human brain: 3-dimensional proportional system: an approach to cerebral imaging. Thieme

Tichavsky T, Yeredor A (2009) Fast approximate joint diagonalization incorporating weight matrices. IEEE Trans Signal Process 57(3):878–889MathSciNetCrossRef

Tong L, Inouye Y, Liu RW (1993) Waveform-preserving blind estimation of multiple independent sources. IEEE Trans Signal Process 41(7):2461–2470CrossRefMATH

Trujillo LT, Allen JJB (2007) Theta EEG dynamics of the error-related negativity. Clin Neurophysiol 118(3):645–668CrossRef

Van Der Loo E, Congedo M, Plazier M, Van De Heyning P, De Ridder D (2007) Correlation between independent components of scalp EEG and intra-cranial EEG (iEEG) time series. Int J Bioelectromagn 9(4):270–275

Yeredor A (2010) Second order methods based on color. In: Comon P, Jutten C (eds) Handbook of blind source separation. Independent component analysis and application. Academic Press, Paris

White D, Congedo M, Ciorciari J, Silberstein R (2012) Brain oscillatory activity during spatial navigation: theta and gamma activity link medial temporal and parietal regions. J Cogn Neurosci 24(3):686–697CrossRef

Title: An Introduction to EEG Source Analysis with an Illustration of a Study on Error-Related Potentials
Authors: Marco Congedo
Sandra Rousseau
Christian Jutten
Publisher: Springer London
Book: Guide to Brain-Computer Music Interfacing
Print ISBN: 978-1-4471-6583-5

Electronic ISBN: 978-1-4471-6584-2

Copyright Year: 2014
DOI: https://doi.org/10.1007/978-1-4471-6584-2_8