Yetik, I. ŞKutay, M. A.Özaktaş, Haldun. M.2016-02-082016-02-082003-09http://hdl.handle.net/11693/27501Conference name: ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering ConferenceDate of Conference: 2–6 September, 2003The ath order fractional Fourier transform operator is the ath power of the ordinary Fourier transform operator. We provide a brief introduction to the fractional Fourier transform, discuss some of its more important properties, and concentrate on its applications to image representation and compression, and beamforming. We show that improved performance can be obtained by employing the fractional Fourier transform instead of the ordinary Fourier transform in these applications.EnglishEigenvalues and eigenfunctionsFrequency domain analysisFunctionsGaussian noise (electronic)Image processingSensorsSignal processingSignal to noise ratioBeamformingFractional fourier transformsImage representationFourier transformsConference Paperhttp://dx.doi.org/10.1115/DETC2003/VIB-4839210.1115/DETC2003/VIB-48392