Fractional Fourier transform-exceeding the classical concepts of signal’s manipulation

The fractional Fourier transform is a signal processing tool which is strongly associated with optical data manipulation. It has fast computational algorithms and it suggests solutions to interesting signal processing tasks. In this paper we review its properties as well as present a new set of its applications for blind source separation of images and for RF photonics (a field in which photonic devices are used to process RF signals). © 2007 Pleiades Publishing, Ltd.