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

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dc.contributor.author Levent, H
dc.contributor.author Yilmaz, Y
dc.contributor.author MANN RJ, 1965, J MATH ANAL APPL, V12, P1, DOI 10.1016/0022-247X(65)90049-1
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dc.contributor.author Graba F, 2016, FUZZY SET SYST, V288, P26, DOI 10.1016/j.fss.2015.08.020
dc.contributor.author Jaulin L., 2001, APPL INTERVAL ANAL E
dc.contributor.author Kotonaj E., 2014, INT J MATH TRENDS TE, V12, P63, DOI [10.14445/22315373/IJMTT-V12P510, DOI 10.14445/22315373/IJMTT-V12P510]
dc.contributor.author Kulisch, 1969, JB BERBLICKE MATH
dc.contributor.author Levent H, 2018, CARPATHIAN MATH PUBL, V10, P143, DOI 10.15330/cmp.10.1.143-164
dc.contributor.author Levent H., 2017, J BIOSTAT BIOMETRIC, V2, P101
dc.contributor.author Moore RE, 2009, INTRO INTERVAL ANAL
dc.date.accessioned 2023-01-02T08:10:49Z
dc.date.available 2023-01-02T08:10:49Z
dc.date.issued 2022
dc.identifier.uri http://hdl.handle.net/11616/86156
dc.description.abstract Mathematically, 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.
dc.description.abstract C1 [Levent, Halise; Yilmaz, Yilmaz] Inonu Univ, Dept Math, TR-44280 Malatya, Turkey.
dc.description.abstract C3 Inonu University
dc.source JOURNAL OF ANALYSIS
dc.title Analysis of signals with inexact data by using interval-valued functions


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