Problèmes inverses contraints en EEG : applications aux potentiels absolus et à l'influence du signal de référence dans l'analyse de l'EEG

Abstract : This thesis concerns the issue of scalp EEG signals pre-processing and it is focused on signal's disturbances caused by non zero reference measurements. These signals perturbations induced by an electrical fluctuation of reference signal can lead to misinterpretation errors in certains analysis. This can be easily seen in inter-signal synchronization measurements such as in coherence studies. Thus, the ideal reference is a null reference. During this research work, we focused on the absolute (zero-reference) potentials estimation from a inverse problem reformulation. Here, two cases are treated, one deals with the case of a reference signal that is sufficiently distant from electrophysiological brain sources so, it is considered as independent signal ; otherwise, it is modeled as a linear combination of sources. Thanks to this modeling, it was shown explicitly that the best estimates of absolute potentials without any a priori information are the average reference potentials. On the other hand, the source-independent reference inverse problem is resolved in a source separation context. For this case, it has been shown that the best estimate of the absolute potentials without any a priori information is equivalent to Minimum Power Distortionless Response/Minimum Variance Distortionless Response (MVDR/MPDR) estimators. On the pretreatment of EEG data, we show on simulated and real signals that measured potentials transformed into average reference improve certain analytical methods used in EEG such as blind source separation (BSS) and localization of brain sources. Beyond the problems of reference, this method can be applied as a constrained source estimation algorithm in order to estimate in a more robust way, particular sources such as artifacts or deterministic exogenous electrical stimulation
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Ricardo Antonio Salido-Ruiz. Problèmes inverses contraints en EEG : applications aux potentiels absolus et à l'influence du signal de référence dans l'analyse de l'EEG. Autre. Université de Lorraine, 2012. Français. ⟨NNT : 2012LORR0403⟩. ⟨tel-01749956⟩

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