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In this paper, Shih's weighted fractional Fourier transform is generalized to contain two 4D vector parameters IfrRfr, Rfr isin Zopf4, which is denoted by generalized weighted fractional Fourier transform (GWFRFT). The proposed GWFRFT is shown to possess all of the desired properties for Shih's FRFT. In fact, the GWFRFT will reduce to Shih's FRFT when both IfrRfr, Rfr are zero vectors. The eigenvalue...
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