Erol ÖNEN, Aydın AKAN

461491

A CLOSED-FORM DISCRETE FRACTIONAL GABOR EXPANSION

A CLOSED-FORM DISCRETE FRACTIONAL GABOR EXPANSION

We present a discrete fractional Gabor expansion based on the closed form discrete fractional Fourier transform. The traditional Gabor expansion represents a signal as a linear combination of time and frequency shifted basis functions. This constant-bandwidth analysis generates a rectangular time-frequency lattice which might lead to poor time-frequency localization for many signals. Proposed expansion uses a set of basis functions related to the fractional Fourier basis and generate a parallelogram-shaped tiling. Completeness and biorthogonality conditions of the new expansion are given.

Keywords:

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ISSN: 2619-9831
Yayın Aralığı: 3
Başlangıç: 2001
Yayıncı: İstanbul Üniversitesi-Cerrahpaşa

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