Özaktaş, Haldun M.Koç, A.2016-02-082016-02-082015http://hdl.handle.net/11693/28330Date of Conference: 16-19 May 2015Conference Name: 23nd Signal Processing and Communications Applications Conference, SIU 2015Linear canonical transforms are encountered in many areas of science and engineering. Important transformations such as the fractional Fourier transform and the ordinary Fourier transform are special cases of this transform family. This family of transforms is especially important for the modelling of wave propagation. It has many applications such as noise removal, image encryption, and analysis of optical systems. Here we discuss algorithms for fast and accurate computation of these transforms. These algorithms can achieve the same accuracy and speed as fast Fourier transform algorithms, so that they can be viewed as optimal algorithms. Efficient sampling of signals plays an important part in the development of these algorithms.TurkishABCD opticsTransformsDigital signal processingEigenvalues and eigenfunctionsFast Fourier transformsFourier opticsImportance samplingOptical systemsSignal processingWave propagationAccurate computationsEfficient samplingFast algorithmsFast Fourier transform algorithmLinear canonical transformQuadratic phase systemsScience and engineeringMathematical transformationsConference Paper10.1109/SIU.2015.7130106