Healy, John J.John J.HealySheridan, John T.John T.Sheridan2011-12-012011-12-012008 Optic2008-02-01Optics Letters0146-95921539-4794http://hdl.handle.net/10197/3366A 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 results79551 bytes1072 bytesapplication/pdftext/plainenThis paper was published in Optics Letters and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/abstract.cfm?URI=ol-33-3-228. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.Signal processingFourier transform opticsContact transformationsJournal Article33322823010.1364/OL.33.000228https://creativecommons.org/licenses/by-nc-sa/1.0/