Threshold optimization according to the restricted Bayes criterion in decentralized detection problems

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dc.contributor.authorBayram, Suat
dc.contributor.authorSoku, Hakan
dc.date.accessioned2025-10-24T18:09:49Z
dc.date.available2025-10-24T18:09:49Z
dc.date.issued2016
dc.departmentMalatya Turgut Özal Üniversitesi
dc.description.abstractIn this paper, the restricted Bayes approach is studied in a decentralized detection problem. All decisions on which the hypothesis is true are made by local sensors through conditionally independent observations. Then these decisions are transmitted to the fusion center for the final decision. In the conventional approach, all thresholds of local sensors and the fusion center are considered as deterministic variables and optimized according to the given criterion for given test statistics of local sensors and the fusion center. In this paper, it is shown that setting thresholds as random variables instead of deterministic ones can improve the performance according to the restricted Bayes criterion. It is proved that optimal random thresholds are dependent on each other, and the probability density function of each one consists of at most two point masses. Two methods for the implementation of this scheme are proposed. A necessary and sufficient condition for improvability of the conventional approach through replacing optimal deterministic thresholds by optimal random ones is derived. Finally, theoretical results are investigated through simulations.
dc.identifier.doi10.3906/elk-1406-181
dc.identifier.endpage3262
dc.identifier.issn1300-0632
dc.identifier.issn1303-6203
dc.identifier.issue4
dc.identifier.scopus2-s2.0-84974717648
dc.identifier.scopusqualityQ2
dc.identifier.startpage3253
dc.identifier.trdizinid246679
dc.identifier.urihttps://doi.org/10.3906/elk-1406-181
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/246679
dc.identifier.urihttps://hdl.handle.net/20.500.12899/3847
dc.identifier.volume24
dc.identifier.wosWOS:000374325800084
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR
dc.language.isoen
dc.publisherTubitak Scientific & Technological Research Council Turkey
dc.relation.ispartofTurkish Journal Of Electrical Engineering And Computer Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20251023
dc.subjectDecentralized detection; random threshold; restricted Bayes
dc.titleThreshold optimization according to the restricted Bayes criterion in decentralized detection problems
dc.typeArticle

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