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Eigenbrains: The free vibrational modes of the brain as a new representation for EEG
Riccardo Poli1, Luca Citi, Mathew Salvaris
1School of Computer Science and Electronic Engineering, University of Essex. CO4 3SQ, Colchester, UK. rpoli@essex.ac.uk
Abstract:
We present a new transform for EEG signals whose basis functions are well suited to represent the large-scale dynamics associated with event related potentials. The method involves instantiating an approximate model of the electrical properties of the brain as a conductor medium and then studying the free vibrational modes of the model. These form a set of basis functions, which we call eigenbrains, that can be used to meaningfully re-represent the brain's electrical activity. Eigenbrains are compared to principal component analysis and independent component analysis to highlight differences and similarities.
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