Özaktaş, Haldun M.Öktem, F. S.2016-02-082016-02-0820142165-0608http://hdl.handle.net/11693/27519Date of Conference: 23-25 April 2014Conference Name: 22nd Signal Processing and Communications Applications Conference, SIU 2014We study the degrees of freedom of optical systems and signals based on space-frequency (phase-space) analysis. At the heart of this study is the relationship of the linear canonical transform domains to the space-frequency plane. Based on this relationship, we discuss how to explicitly quantify the degrees of freedom of first-order optical systems with multiple apertures, and give conditions for lossless transfer. Moreover, we focus on the degrees of freedom of signals in relation to the space-frequency support and provide a sub-Nyquist sampling approach to represent signals with arbitrary space-frequency support. Implications for simulating optical systems are also discussed.TurkishDegrees of freedomOptical signal processingDegrees of freedom (mechanics)Digital signal processingEigenvalues and eigenfunctionsLinear transformationsMathematical transformationsOptical systemsPhase space methodsCanonical transformationFirst-order optical systemsFractional Fourier transformsLinear canonical transformMultiple aperturesNyquist sampling rateSub-Nyquist samplingTime frequency analysisMechanicsLinear canonical transforms, degrees of freedom, and sampling in optical signals and systemsOptik sinyaller ve sistemlerde doğrusal kanonik dönüşümler, serbestlik derecesi ve örneklemeConference Paper10.1109/SIU.2014.6830257