Design of quaternion-valued second-order Volterra adaptive filters for nonlinear 3-D and 4-D signals

Basit Öğe Kaydı
dc.contributor.authorMenguc, Engin Cemal
dc.date.accessioned2024-11-07T13:24:59Z
dc.date.available2024-11-07T13:24:59Z
dc.date.issued2020
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractIn this paper, the quaternion-valued second-order Volterra adaptive filters (QSOVAFs) are designed for the processing of nonlinear three-dimensional (3-D) and four-dimensional (4-D) signals. In the proposed frameworks, the structure of the strictly nonlinear (SNL), semi-widely nonlinear (SWNL), and widely nonlinear (WNL) QSOVAFs are primarily constructed in the quaternion domain. Then, their loss functions defined by the instantaneous error signals are minimized in the quaternion domain by using the recent generalized Hamilton-real (GHR) calculus. Thus, novel weight update equations are obtained for training the proposed SNL-QSOVAF, SWNL-QSOVAF, and WNL-QSOVAF. Furthermore, the stability bounds for each quaternion-valued kernel functions of them are derived from the convergence in the mean analysis. The comprehensive simulations on the nonlinear system identification and one-step-ahead prediction experiments support that the proposed SWNL-QSOVAF and WNL-QSOVAF can be effectively used in the processing of nonlinear noncircular quaternion signals, whereas that their SNL version can produce optimal results for nonlinear circular quaternion signals. (C) 2020 Elsevier B.V. All rights reserved.
dc.identifier.doi10.1016/j.sigpro.2020.107619
dc.identifier.issn0165-1684
dc.identifier.issn1872-7557
dc.identifier.scopus2-s2.0-85089541722
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.sigpro.2020.107619
dc.identifier.urihttps://hdl.handle.net/11480/14447
dc.identifier.volume174
dc.identifier.wosWOS:000538107600015
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofSignal Processing
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241106
dc.subjectStrictly nonlinear
dc.subjectSemi-widely nonlinear
dc.subjectWidely nonlinear
dc.subjectQuaternion-valued second-order volterra
dc.subjectadaptive filter
dc.subjectCircular and noncircular quaternion signals
dc.titleDesign of quaternion-valued second-order Volterra adaptive filters for nonlinear 3-D and 4-D signals
dc.typeArticle

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu