Şahin, Ayşegül2016-01-082016-01-081996http://hdl.handle.net/11693/17790Ankara : Department of Electrical and Electronics Engineering and Institute of Engineering and Sciences Bilkent University, 1996.Thesis (Master's) -- Bilkent University, 1996.Includes bibliographical references leaves 66-71.The IVactional Fourier transform of order a is defined in a manner sucli that tlu' common Fourier transform is a special case with order a = 1. Tlie definition is easil}^ extended to two dimensions just repeating the transibrm in x and y directions independently. The properties of the separable two dimensional fractional Fourier transform defined in this manner are derived and several oj)- tical implementations are given. However, this definition, ibr certain purposes, motivatcxi us to look for a new, non-separabhi definition. We ])resent sucli a d('iinition of the two dimensional fractional Fourier transform with its optical implementation. The usefulness of the new definition is justified with a noise filtering example.ix, 71 leavesEnglishinfo:eu-repo/semantics/openAccessQA403.5 .S34 1996Fourier transformations.Thesis