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A fractional Gabor expansion |
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| Authors: | Ayd?n Akan,Yalç ?n Ç ekiç |
| Affiliation: | a Department of Electrical and Electronics Engineering, Istanbul University, Avcilar, Istanbul 34850, Turkey b Department of Electrical and Electronics Engineering, Bahcesehir University, Bahcesehir, Istanbul 34900, Turkey |
| Abstract: | We present a fractional Gabor expansion on a non-rectangular time-frequency lattice. Sinusoidal analysis used in the traditional Gabor expansion is not appropriate for a compact representation for chirp-type signals. Basis functions of the proposed expansion are obtained via fractional Fourier basis. Completeness and biorthogonality conditions of the new expansion are derived. |
| Keywords: | Time-frequency analysis Gabor expansion Fractional Fourier transform |
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