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dc.contributor.authorKutay, M. A.
dc.contributor.authorÖzaktaş, Haldun M.
dc.contributor.authorArıkan, Orhan
dc.date.accessioned2016-02-08T10:46:59Z
dc.date.available2016-02-08T10:46:59Z
dc.date.issued1997-05en_US
dc.identifier.issn1053-587X
dc.identifier.urihttp://hdl.handle.net/11693/25572
dc.description.abstractFor time-invariant degradation models and stationary signals and noise, the classical Fourier domain Wiener filter, which can be implemented in O(N log N) time, gives the minimum mean-square-error estimate of the original undistorted signal. For time-varying degradations and nonstationary processes, however, the optimal linear estimate requires O(N/sup 2/) time for implementation. We consider filtering in fractional Fourier domains, which enables significant reduction of the error compared with ordinary Fourier domain filtering for certain types of degradation and noise (especially of chirped nature), while requiring only O(N log N) implementation time. Thus, improved performance is achieved at no additional cost. Expressions for the optimal filter functions in fractional domains are derived, and several illustrative examples are given in which significant reduction of the error (by a factor of 50) is obtained.en_US
dc.language.isoEnglishen_US
dc.source.titleIEEE Transactions on Signal Processingen_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/78.575688en_US
dc.subjectFilteringen_US
dc.subjectDegradationen_US
dc.subjectWiener filteren_US
dc.subject1f noiseen_US
dc.subjectOptical filtersen_US
dc.subjectChirpen_US
dc.subjectConvolutionen_US
dc.subjectFourier transformsen_US
dc.subjectDigital filtersen_US
dc.subjectOptical noiseen_US
dc.titleOptimal filtering in fractional Fourier domainsen_US
dc.typeArticleen_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.citation.spage1129en_US
dc.citation.epage1143en_US
dc.citation.volumeNumber45en_US
dc.citation.issueNumber5en_US
dc.identifier.doi10.1109/78.575688en_US
dc.publisherInstitute of Electrical and Electronics Engineersen_US
dc.contributor.bilkentauthorHaldun M. Özaktaş
dc.contributor.bilkentauthorArıkan, Orhan
dc.identifier.eissn1941-0476
buir.contributor.orcidArıkan, Orhan|0000-0002-3698-8888en_US


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