Healy, J. J.Özaktaş, Haldun M.Healy, J. J.Kutay, M. A.Özaktaş, Haldun M.Sheridan, J. T.2019-04-192019-04-1920169781493930272http://hdl.handle.net/11693/50848Chapter 8A discrete linear canonical transform would facilitate numerical calculations in many applications in signal processing, scalar wave optics, and nuclear physics. The question is how to define a discrete transform so that it not only approximates the continuous transform well, but also constitutes a discrete transform in its own right, being complete, unitary, etc. The key idea is that the LCT of a discrete signal consists of modulated replicas. Based on that result, it is possible to define a discrete transform that has many desirable properties. This discrete transform is compatible with certain algorithms more than others.EnglishFast fourier transformDiscrete fourier transformSampling theoremFourier domainContinuous signalBook Chapter10.1007/978-1-4939-3028-9_810.1007/978-1-4939-3028-99781493930289