Inner-product quasilinear spaces with applications in signal processing

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dc.contributor.authorYilmaz, Yilmaz
dc.contributor.authorLevent, Halise
dc.date.accessioned2024-08-04T20:51:46Z
dc.date.available2024-08-04T20:51:46Z
dc.date.issued2021
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIf certain characteristics of a non-deterministic signal are known, can some approximate results be obtained concerning the frequency, deterministic autocorrelation or other characteristics of the signal? The mathematical techniques we have developed allow us to obtain some approximate estimations of this type. In this way we use some new mathematical methods so called quasilinear functional analysis. Interval analysis also in the scope of this area and we use complex interval-valued signals in calculations. Especially, in this work, we give some special properties and results of inner-product quasilinear spaces which are generalizations of classical inner-product spaces. By this results we give easy examples of approximate estimations of deterministic autocorrelation of some semi non-deterministic signals or signals with inexact data. Further, we have constructed the space Il(2) and we have showed that Il(2) is an inner-product quasilinear space. This space provides a basis for an estimation of deterministic autocorrelation of the signals with inexact data.en_US
dc.identifier.doi10.3251/asetmj/1932200818
dc.identifier.endpage146en_US
dc.identifier.issn2667-9930
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85126648020en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage125en_US
dc.identifier.urihttps://doi.org/10.3251/asetmj/1932200818
dc.identifier.urihttps://hdl.handle.net/11616/100542
dc.identifier.volume14en_US
dc.identifier.wosWOS:000774655100008en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTbilisi Centre Math Scien_US
dc.relation.ispartofAdvanced Studies-Euro-Tbilisi Mathematical Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectinner-product quasilinear spacesen_US
dc.subjectnon-deterministic signalsen_US
dc.subjectcomplex interval-valued signalsen_US
dc.subjectdeterministic auto-correlationen_US
dc.subjectHilbert quasilinear spacesen_US
dc.titleInner-product quasilinear spaces with applications in signal processingen_US
dc.typeArticleen_US

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