A generalized Lyapunov stability theory-based adaptive FIR filter algorithm with variable step sizes

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dc.authorid0000-0003-1186-3058en_US
dc.contributor.authorMenguc, Engin Cemal
dc.contributor.authorAcır, Nurettin
dc.date.accessioned2021-03-20T20:13:38Z
dc.date.available2021-03-20T20:13:38Z
dc.date.issued2017
dc.departmentBTÜ, Mühendislik ve Doğa Bilimleri Fakültesi, Elektrik Elektronik Mühendisliği Bölümüen_US
dc.descriptionMenguc, Engin Cemal/0000-0002-0619-549Xen_US
dc.description.abstractThis paper presents a novel approach to Lyapunov stability theory-based adaptive filter (LAF) design. The proposed design is based on the minimization of the Euclidean norm of the difference weight vector under negative definiteness constraint defined over a novel linear Lyapunov function. The proposed fixed step size LAF (FSS-LAF) algorithm is first obtained by using the method of Lagrangian multipliers. The FSS-LAF satisfying asymptotic stability in the sense of Lyapunov provides a significant performance gain in the presence of a measurement noise. The stability of the FSS-LAF algorithm is also statistically analyzed in this study. Moreover, gradient variable step size (VSS) algorithms are adapted to the FSS-LAF algorithm to further enhance the performance for the first time in this paper. These VSS algorithms are Benveniste (BVSS), Mathews and Farhang-Ang (FVSS) algorithms. Simulation results on system identification problems show that the bounds of step size for the FSS-LAF algorithm are verified, and especially, the BVSS-LAF and FVSS-LAF algorithms provide a better trade-off between steady-state mean square deviation error and convergence rate than other proposed algorithms.en_US
dc.identifier.doi10.1007/s11760-017-1121-8en_US
dc.identifier.endpage1575en_US
dc.identifier.issn1863-1703
dc.identifier.issn1863-1711
dc.identifier.issue8en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1567en_US
dc.identifier.urihttp://doi.org/10.1007/s11760-017-1121-8
dc.identifier.urihttps://hdl.handle.net/20.500.12885/911
dc.identifier.volume11en_US
dc.identifier.wosWOS:000412849800023en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAcır, Nurettin
dc.language.isoenen_US
dc.publisherSpringer London Ltden_US
dc.relation.ispartofSignal Image And Video Processingen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAdaptive filteren_US
dc.subjectLyapunov stability theoryen_US
dc.subjectVariable step sizeen_US
dc.subjectSystem identificationen_US
dc.titleA generalized Lyapunov stability theory-based adaptive FIR filter algorithm with variable step sizesen_US
dc.typeArticleen_US

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