Optimal filtering in fractional Fourier domains

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buir.contributor.authorArıkan, Orhan
buir.contributor.orcidArıkan, Orhan|0000-0002-3698-8888
dc.citation.epage940en_US
dc.citation.spage937en_US
dc.contributor.authorKutay, M. Alperen_US
dc.contributor.authorOnural, Leventen_US
dc.contributor.authorÖzaktaş Haldun M.en_US
dc.contributor.authorArıkan, Orhanen_US
dc.coverage.spatialDetroit, MI, USA
dc.date.accessioned2016-02-08T12:01:20Z
dc.date.available2016-02-08T12:01:20Z
dc.date.issued1995en_US
dc.departmentDepartment of Computer Engineeringen_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.descriptionDate of Conference: 9-12 May 1995
dc.descriptionConference name: ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing, 1995
dc.description.abstractThe ordinary Fourier transform is suited best for analysis and processing of time-invariant signals and systems. When we are dealing with time-varying signals and systems, filtering in fractional Fourier domains might allow us to estimate signals with smaller minimum-mean-square error (MSE). We derive the optimal fractional Fourier domain filter that minimizes the MSE for given non-stationary signal and noise statistics, and time-varying distortion kernel. We present an example for which the MSE is reduced by a factor of 50 as a result of filtering in the fractional Fourier domain, as compared to filtering in the conventional Fourier or time domains. We also discuss how the fractional Fourier transformation can be computed in O(N log N) time, so that the improvement in performance is achieved with little or no increase in computational complexity.en_US
dc.identifier.doi10.1109/ICASSP.1995.480329
dc.identifier.urihttp://hdl.handle.net/11693/27771
dc.language.isoEnglishen_US
dc.publisherIEEE
dc.source.titleInternational Conference on Acoustics, Speech and Signal Processingen_US
dc.subjectFractional Fourier domainsen_US
dc.subjectMinimum mean square erroren_US
dc.subjectOptimal filteringen_US
dc.subjectTime varying signalsen_US
dc.subjectWigner distributionen_US
dc.subjectAlgorithmsen_US
dc.subjectComputational complexityen_US
dc.subjectDigital signal processingen_US
dc.subjectEstimationen_US
dc.subjectFourier transformsen_US
dc.subjectFrequency domain analysisen_US
dc.subjectMathematical modelsen_US
dc.subjectSignal distortionen_US
dc.subjectSpurious signal noiseen_US
dc.subjectStatisticsen_US
dc.subjectTime domain analysisen_US
dc.subjectTime varying systemsen_US
dc.subjectComputer simulationen_US
dc.subjectErrorsen_US
dc.subjectParameter estimationen_US
dc.subjectSignal interferenceen_US
dc.subjectSignal theoryen_US
dc.subjectSignal filtering and predictionen_US
dc.subjectFractional Fourier domainsen_US
dc.subjectMinimum mean square erroren_US
dc.subjectNoise statisticsen_US
dc.subjectOptimal filteringen_US
dc.subjectTime invariant signals and systemsen_US
dc.subjectTime varying distortion Kernelen_US
dc.titleOptimal filtering in fractional Fourier domainsen_US
dc.typeConference Paperen_US
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