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A Signal-Tuned Gabor Transform With Application To Eeg Analysis

Author

Listed:
  • 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)

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.

Suggested Citation

  • José R. A. Torreão & Silvia M. C. Victer & João L. Fernandes, 2013. "A Signal-Tuned Gabor Transform With Application To Eeg Analysis," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(04), pages 1-24.
    • Handle: RePEc:wsi:ijmpcx:v:24:y:2013:i:04:n:s0129183113500174
    DOI: 10.1142/S0129183113500174
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