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Recently many uncertainty principles involving the product of signal spreads in two linear canonical transform (LCT) and fractional Fourier transform (FRFT) domains have been presented in the literature. In this paper we derive some new equalities/inequalities involving the sum and product of signal spreads in two FRFT domains. Some equalities involving the sum of signal spreads in two LCT domains...
A novel adaptive filtering scheme based on fractional Fourier transform (FrFT) is introduced and characterized. As a generalization of the ordinary Fourier transform, FrFT is a powerful analysis tool to describe signals with chirp-type components. We show that in case of linear frequency modulated (LFM) signals fractional Fourier domain adaptive filtering schemes provide less error and faster convergence...
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