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dc.contributor.authorCastro, L. P.pt_PT
dc.contributor.authorMinh, L. T.pt_PT
dc.contributor.authorTuan, N. M.pt_PT
dc.description.abstractWe introduce new convolutions and correlations associated with the Fractional Fourier Transform (FrFT) which present a significant simplicity in both the time and FrFT domains. This allows for several consequences and applications, among which we highlight the design of some multiplicative filters in the FrFT domain having a significant simplicity when compared with the already known ones. Thus, this has consequences e.g. in signal filtering due to the need of modification of a calculated signal to remove undesirable aspects of the signal before it is used in a calculation or a controller. In special, we propose a new filter design implementation which exhibits advantages in comparison to other known ones. Concrete examples are presented to illustrate the theory.pt_PT
dc.description.sponsorshipL.P. Castro was supported in part by FCT — Portuguese Foundation for Science and Technology through the Center for Research and Development in Mathematics and Applications (CIDMA) of Universidade de Aveiro, within project UIDB/04106/2020.pt_PT
dc.publisherSpringer Naturept_PT
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04106%2F2020/PTpt_PT
dc.subjectFractional Fourier transformpt_PT
dc.subjectFourier transformpt_PT
dc.titleFilter design based on the fractional Fourier transform associated with new convolutions and correlationspt_PT
degois.publication.titleMathematical Sciencespt_PT
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