FRACTIONAL GABOR TRANSFORM

A fractional Gabor transform (FRGT) is proposed. This new transform is a generalization of the conventional Gabor transform (GT) based on th e Fourier transform to the windowed fractional Fourier transform (FRFT ). The FRGT provides analyses of signals in both the real space and th e FRFT frequency domain simultaneously. The space-FRFT frequency patte rn can be rotated as the fractional order changes. The FRGT has an add itional freedom, compared with the conventional GT, i.e., the transfor m order. The FRGT may offer a useful tool for guiding optimal filter d esign in the FRFT domain in signal processing. (C) Optical Society of America.