OPTIMAL BIORTHOGONAL ANALYSIS WINDOW FUNCTION FOR DISCRETE GABOR TRANSFORM

Like the DFT-a discrete version of the Fourier transform-the recently developed discrete Gabor transform (DGT) provides a feasible vehicle t o implement the very useful Gabor expansion. In general, the choice of the biorthogonal window function gamma(i) is not unique. In this shor t paper, we discussed the solution of gamma(i) that is optimally close to an arbitrary desired function d(i) when the synthesis window h(i) and sampling pattern are given. For d(i) = h(i), the resulting gamma(o pt)(i) directly leads to so-called orthogonal-like DGT. Combining the DGT, we believe that the result presented in this paper is rather sign ificant for digital signal processing.