Convexity properties of detection probability for noncoherent detection of a modulated sinusoidal carrier

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buir.contributor.authorGezici, Sinan
buir.contributor.authorÖztürk, Cüneyd
dc.citation.epage12415en_US
dc.citation.issueNumber12en_US
dc.citation.spage12410en_US
dc.citation.volumeNumber67en_US
dc.contributor.authorÖztürk, Cüneyden_US
dc.contributor.authorDülek, B.en_US
dc.contributor.authorGezici, Sinanen_US
dc.date.accessioned2019-02-21T16:06:06Z
dc.date.available2019-02-21T16:06:06Z
dc.date.issued2018en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractIn this correspondence paper, the problem of noncoherent detection of a sinusoidal carrier is considered in the presence of Gaussian noise. The convexity properties of the detection probability are characterized with respect to the signal-To-noise ratio (SNR). It is proved that the detection probability is a strictly concave function of SNR when the false alarm probability α satisfies α > e-2, and it is first a strictly convex function and then a strictly concave function of SNR for α < e-2. In addition, optimal power allocation strategies are derived under average and peak power constraints. It is shown that on-off signaling can be optimal for α < e-2 depending on the power constraints, whereas transmission at a constant power level that is equal to the average power limit is optimal in all other cases.
dc.identifier.doi10.1109/TVT.2018.2876516
dc.identifier.issn0018-9545
dc.identifier.urihttp://hdl.handle.net/11693/50291
dc.language.isoEnglish
dc.publisherInstitute of Electrical and Electronics Engineers
dc.relation.isversionofhttps://doi.org/10.1109/TVT.2018.2876516
dc.source.titleIEEE Transactions on Vehicular Technologyen_US
dc.subjectconvexityen_US
dc.subjectDetectionen_US
dc.subjectNeyman-Pearsonen_US
dc.subjectNoncoherenten_US
dc.subjectPower allocationen_US
dc.subjectProbability of detectionen_US
dc.titleConvexity properties of detection probability for noncoherent detection of a modulated sinusoidal carrieren_US
dc.typeArticleen_US

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