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

Martin J. Bastiaans and Tatiana Alieva

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.

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To: Papers by Martin J. Bastiaans