A SIGNAL-TUNED GABOR TRANSFORM WITH APPLICATION TO EEG ANALYSIS

José R. A. Torreão (), Silvia M. C. Victer () and João L. Fernandes ()
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José R. A. Torreão: Instituto de Computação, Universidade Federal Fluminense, Rua Passo da Pátria, 156 Bloco E, 24210-240 Niterói, Rio de Janeiro, Brazil
Silvia M. C. Victer: Instituto de Computação, Universidade Federal Fluminense, Rua Passo da Pátria, 156 Bloco E, 24210-240 Niterói, Rio de Janeiro, Brazil
João L. Fernandes: Centro de Ciências Médicas, Universidade Federal Fluminense, Rua Marquês do Paraná, 303 Anexo, 24033-900 Niterói, Rio de Janeiro, Brazil

International Journal of Modern Physics C (IJMPC), 2013, vol. 24, issue 04, 1-24

Abstract: We introduce a time-frequency transform based on Gabor functions whose parameters are given by the Fourier transform of the analyzed signal. At any given frequency, the width and the phase of the Gabor function are obtained, respectively, from the magnitude and the phase of the signal's corresponding Fourier component, yielding an analyzing kernel which is a representation of the signal's content at that particular frequency. The resulting Gabor transform tunes itself to the input signal, allowing the accurate detection of time and frequency events, even in situations where the traditional Gabor andS-transform approaches tend to fail. This is the case, for instance, when considering the time-frequency representation of electroencephalogram traces (EEG) of epileptic subjects, as illustrated by the experimental study presented here.

Keywords: Time-frequency analysis; S-transform; Gabor transform; EEG signal processing; 87.19.Le; 43.60.Hj; 02.30.Nw (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1142/S0129183113500174

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