On the phase condition and its solution for Hilbert Transform pairs of wavelets bases

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dc.contributor.authorÖzkaramanli, H
dc.contributor.authorYu, RY
dc.date.accessioned2026-02-06T18:28:48Z
dc.date.issued2003
dc.departmentDoğu Akdeniz Üniversitesi
dc.descriptionIEEE International Conference on Acoustics, Speech, and Signal Processing -- APR 06-10, 2003 -- HONG KONG, PEOPLES R CHINA
dc.description.abstractIn this work, the phase condition on the scaling filters of two wavelet bases which ensures that the corresponding wavelets are Hilbert Transform pairs of each other is studied. An alternative and equivalent phase condition is derived. With the equivalent condition and Fourier series expansions, it is shown that the solution for which the corresponding scaling filters are offset from one another by a half sample is the only solution satisfying the phase condition which results in Hilbert transform pairs of wavelet bases.
dc.description.sponsorshipIEEE Signal Proc Soc
dc.identifier.endpage420
dc.identifier.isbn0-7803-7663-3
dc.identifier.scopus2-s2.0-0141742503
dc.identifier.scopusqualityN/A
dc.identifier.startpage417
dc.identifier.urihttps://hdl.handle.net/11129/11127
dc.identifier.wosWOS:000185463700105
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherIEEE
dc.relation.ispartof2003 Ieee International Conference on Acoustics, Speech, and Signal Processing, Vol Vi, Proceedings: Signal Processing Theory and Methods
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.titleOn the phase condition and its solution for Hilbert Transform pairs of wavelets bases
dc.typeConference Object

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