Analysis of signals with inexact data by using interval-valued functions

dc.contributor.authorLevent, Halise
dc.contributor.authorYilmaz, Yilmaz
dc.date.accessioned2024-08-04T20:51:55Z
dc.date.available2024-08-04T20:51:55Z
dc.date.issued2022
dc.departmentİnönü Üniversitesien_US
dc.description.abstractMathematically, a signal is a function of an independent variable t and it contains information about the behavior of the physical quantity. In real life, sometimes a signal value in a time t may not be known exactly. This paper presents a new mathematical method for processing of such a non-deterministic signal by using interval-valued functions which is called as its model interval signal. If the properties of a signal are completely unknown then we cannot perform the processing of these signals such as determining the autocorrelation function of the non-deterministic signal. Especially, in this work, we give an application to estimate the autocorrelation function of a signal with inexact data. For this purpose we use some new mathematical methods so called quasilinear functional analysis. Our studies give approximative result, although there are no definite results for such signals. We think that it's better than not having any information.en_US
dc.identifier.doi10.1007/s41478-022-00422-0
dc.identifier.endpage1651en_US
dc.identifier.issn0971-3611
dc.identifier.issn2367-2501
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85129282463en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1635en_US
dc.identifier.urihttps://doi.org/10.1007/s41478-022-00422-0
dc.identifier.urihttps://hdl.handle.net/11616/100627
dc.identifier.volume30en_US
dc.identifier.wosWOS:000790202100001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringernatureen_US
dc.relation.ispartofJournal of Analysisen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectInner-product quasilinear spaceen_US
dc.subjectIntegrable selectionen_US
dc.subjectAumann integralen_US
dc.subjectContinuous-time interval signalen_US
dc.subjectAutocorrelation functionen_US
dc.titleAnalysis of signals with inexact data by using interval-valued functionsen_US
dc.typeArticleen_US

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