Title The Eigen Decomposition of Shifted Discrete Fourier Transform Type Presentation Keywords discrete Fourier transform, shifted Fourier transform, eigenvector, eigenvalue Abstract This paper presents the eigendecomposition of shifted discrete Fourier transforms as a special case of generalized discrete Fourier transform. We have illustrated it by introducing the relationship between the original Fourier transform and the shifted Fourier transform. Researchers fatemeh zarei (First researcher) , Ali Bagheri-Bardi (Second researcher) , Taher Yazdanpanah (Third researcher)