Discrete quadratic-phase Fourier transform: Theory and convolution structures

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dc.contributor.authorSrivastava, H.M.
dc.contributor.authorLone, Waseem Z.
dc.contributor.authorShah, Firdous A.
dc.contributor.authorZayed, Ahmed I.
dc.date.accessioned2022-11-12T16:15:17Z
dc.date.available2022-11-12T16:15:17Z
dc.date.copyright2022en_US
dc.date.issued2022
dc.description.abstractThe discrete Fourier transform is considered as one of the most powerful tools in digital signal processing, which enable us to find the spectrum of finite-duration signals. In this article, we introduce the notion of discrete quadratic-phase Fourier transform, which encompasses a wider class of discrete Fourier transforms, including classical discrete Fourier transform, discrete fractional Fourier transform, discrete linear canonical transform, discrete Fresnal transform, and so on. To begin with, we examine the fundamental aspects of the discrete quadratic-phase Fourier transform, including the formulation of Parseval’s and reconstruction formulae. To extend the scope of the present study, we establish weighted and non-weighted convolution and correlation structures associated with the discrete quadratic-phase Fourier transform.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H. M., Lone, W. Z., Shah, F. A., & Zayed, A. I. (2022). “Discrete quadratic-phase Fourier transform: Theory and convolution structures.” Entropy, 24(10), 1340. https://doi.org/10.3390/e24101340en_US
dc.identifier.urihttps://doi.org/10.3390/e24101340
dc.identifier.urihttp://hdl.handle.net/1828/14422
dc.language.isoenen_US
dc.publisherEntropyen_US
dc.subjectquadratic-phase Fourier transform
dc.subjectdiscrete quadratic-phase Fourier transform
dc.subjectconvolution
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleDiscrete quadratic-phase Fourier transform: Theory and convolution structuresen_US
dc.typeArticleen_US

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