Cases where the linear canonical transform of a signal has compact support or is band-limited

A signal may have compact support, be band-limited (i.e., its Fourier transform has compact support), or neither (“unbounded”). We determine conditions for the linear canonical transform of a signal having these properties. We examine the significance of these conditions for special cases of the linear canonical transform and consider the physical significance of our resultsScience Foundation IrelandIrish Research Council for Science, Engineering and TechnologySPIE (the international society for optics and photonics)da, pe, la, sp, ke, ab, is - kpw14/11/1