Quadratic-phase Hilbert transform and the associated Bedrosian theorem

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dc.contributor.authorSrivastava, Hari M.
dc.contributor.authorShah, Firdous A.
dc.contributor.authorQadri, Huzaifa L.
dc.contributor.authorLone, Waseem Z.
dc.contributor.authorMusadiq, Gojree S.
dc.date.accessioned2024-02-08T23:44:59Z
dc.date.available2024-02-08T23:44:59Z
dc.date.copyright2023en_US
dc.date.issued2023
dc.description.abstractThe Hilbert transform is a commonly used linear operator that separates the real and imaginary parts of an analytic signal and is employed in various fields, such as filter design, signal processing, and communication theory. However, it falls short in representing signals in generalized domains. To address this limitation, we propose a novel integral transform, coined the quadratic-phase Hilbert transform. The preliminary study encompasses the formulation of all the fundamental properties of the generalized Hilbert transform. Additionally, we examine the relationship between the quadratic-phase Fourier transform and the proposed transform, and delve into the convolution theorem for the quadratic-phase Hilbert transform. The Bedrosian theorem associated with the quadratic-phase Hilbert transform is explored in detail. The validity and accuracy of the obtained results were verified through simulations.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H. M., Shah, F. A., Qadri, H. L., Lone, W. Z., & Gojree, M. S. (2023). Quadratic-phase Hilbert transform and the associated Bedrosian theorem. Axioms, 12(2), 218. https://doi.org/10.3390/axioms12020218en_US
dc.identifier.urihttps://doi.org/10.3390/axioms12020218
dc.identifier.urihttp://hdl.handle.net/1828/15972
dc.language.isoenen_US
dc.publisherAxiomsen_US
dc.subjectquadratic-phase Fourier transform
dc.subjectHilbert transform
dc.subjectanalytical signal
dc.subjectBedrosian theorem
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleQuadratic-phase Hilbert transform and the associated Bedrosian theoremen_US
dc.typeArticleen_US

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