A fractional Gabor expansion ?
We present a fractional Gabor expansion on a non-rectangular timefrequency 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.
gabor expansion timefrequency analysis fractional fourier transform