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- Teodor Alecu, Sviatoslav Voloshynovskiy, Thierry Pun
- IEEE Transactions on Signal Processing
- 2006

This paper introduces the general-purpose Gaussian transform of distributions, which aims at representing a generic symmetric distribution as an infinite mixture of Gaussian distributions. We start by the mathematical formulation of the problem and continue with the investigation of the conditions of existence of such a transform. Our analysis leads to the… (More)

A brain-computer interface (BCI) allows a user to communicate with a computer by means only of the electrical information provided by the brain (EEG), without activation of the motor system. We propose a model for average trial protocols based BCI's. Using this model, we show that, under the hypothesis that the user can emit the same mental state several… (More)

- Teodor Alecu, Sviatoslav Voloshynovskiy, Thierry Pun
- ISBI
- 2004

The surface Laplacian is known to be a theoretical reliable approximation of the cortical activity. Unfortunately, because of its high pass character and the relative low density of the EEG caps, the estimation of the Laplacian itself tends to be very sensitive to noise. We introduce a method based on vector field regularization through diffusion for… (More)

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