Rotation-type input-output relationships for Wigner distribution moments in fractional Fourier transform systems

M.J. Bastiaans, T. Alieva

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Abstract

It is shown how all global Wigner distribution moments of arbitrary order in the output plane of a (generally anamorphic) two-dimensional fractional Fourier transform system can be expressed in terms of the moments in the input plane. This general input-output relationship is then broken down into a number of rotation-type input-output relationships between certain combinations of moments. As an important by-product we get a number of moment combinations that are invariant under (anamorphic) fractional Fourier transformation.
Original languageEnglish
Title of host publicationProc. EUSIPCO 2002, XI European Signal Processing Conference, Toulouse, France
Pages193-196
Publication statusPublished - 2002

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