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Yeh and Pei presented a computation method for the discrete fractional Fourier transform (DFRFT) that the DFRFT of any order can be computed by a linear summation of DFRFTs with special orders. Based on their work, we investigate linear summation of fractional-order matrices in a general and comprehensive manner in this paper. We have found that for any diagonalizable periodic matrices, linear summation...
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