Novel quaternion-valued least-mean kurtosis adaptive filtering algorithm based on the GHR calculus

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dc.contributor.authorMengüç E.C.
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2018
dc.departmentNiğde ÖHÜ
dc.description.abstractA novel quaternion-valued least-mean kurtosis (QLMK) adaptive filtering algorithm is proposed for three- and fourdimensional processes by using the recent generalised Hamilton-real (GHR) calculus. The proposed QLMK algorithm based GHR calculus minimises the negated kurtosis of the error signal as a cost function in the quaternion domain, thus provides an elegant way to solve a trade-off problem between the convergence rate and steady-state error. Moreover, the proposed QLMK algorithm has naturally a robust behaviour for a wide range of noise signals due to its kurtosis-based cost function. Furthermore, the steady-state performance of the proposed QLMK algorithm is analysed to obtain convergence and misadjustment conditions. The comprehensive simulation results on benchmark and real-world problems show that the use of this cost function defined by the quaternion statistics in the proposed QLMK algorithm allows us to process quaternion-valued signals and thus, significantly enhances the performance of the adaptive filter in terms of both the steady-state error and the convergence rate, as compared with the quaternion-valued least-mean-square algorithm based on the recent GHR calculus. © 2018, The Institution of Engineering and Technology.
dc.identifier.doi10.1049/iet-spr.2017.0340
dc.identifier.endpage495
dc.identifier.issn1751-9675
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85047822307
dc.identifier.scopusqualityQ2
dc.identifier.startpage487
dc.identifier.urihttps://dx.doi.org/10.1049/iet-spr.2017.0340
dc.identifier.urihttps://hdl.handle.net/11480/1642
dc.identifier.volume12
dc.identifier.wosWOS:000437313800013
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorMengüç E.C.
dc.language.isoen
dc.publisherInstitution of Engineering and Technology
dc.relation.ispartofIET Signal Processing
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.titleNovel quaternion-valued least-mean kurtosis adaptive filtering algorithm based on the GHR calculus
dc.typeArticle

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