FRACTIONAL GABOR SPECTRAL ESTIMATION FOR MULTI-COMPONENT SIGNALS (ThuPmOR6)

Author(s) : Erol Onen (Istanbul University, Turkey) Aydin Akan (Istanbul University, Turkey)

Abstract : We present a high resolution time-frequency spectral analysis method for multi-component signals based on a discrete fractional Gabor expansion. The proposed expansion uses the closed form discrete fractional Fourier kernel and generate a parallelogram-shaped time-frequency plane tiling. Completeness and biorthogonality conditions of the new expansion are derived. We also present a search algorithm to obtain optimal analysis fraction orders for an arbitrary, multi-component signal to estimate a high resolution Gabor spectrum.

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