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

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dc.authoridMenguc, Engin Cemal/0000-0002-0619-549X
dc.contributor.authorMenguc, Engin Cemal
dc.contributor.authorAcir, Nurettin
dc.date.accessioned2024-11-07T13:25:31Z
dc.date.available2024-11-07T13:25:31Z
dc.date.issued2017
dc.departmentNiğde Ömer Halisdemir Üniversitesi
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.
dc.identifier.doi10.1007/s11760-017-1121-8
dc.identifier.endpage1575
dc.identifier.issn1863-1703
dc.identifier.issn1863-1711
dc.identifier.issue8
dc.identifier.scopus2-s2.0-85020114696
dc.identifier.scopusqualityQ2
dc.identifier.startpage1567
dc.identifier.urihttps://doi.org/10.1007/s11760-017-1121-8
dc.identifier.urihttps://hdl.handle.net/11480/14755
dc.identifier.volume11
dc.identifier.wosWOS:000412849800023
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer London Ltd
dc.relation.ispartofSignal Image and Video Processing
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241106
dc.subjectAdaptive filter
dc.subjectLyapunov stability theory
dc.subjectVariable step size
dc.subjectSystem identification
dc.titleA generalized Lyapunov stability theory-based adaptive FIR filter algorithm with variable step sizes
dc.typeArticle

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