Convexity properties of detection probability under additive Gaussian noise: optimal signaling and jamming strategies

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buir.contributor.authorArıkan, Orhan
buir.contributor.authorGezici, Sinan
buir.contributor.orcidArıkan, Orhan|0000-0002-3698-8888
dc.citation.epage3310en_US
dc.citation.issueNumber13en_US
dc.citation.spage3303en_US
dc.citation.volumeNumber61en_US
dc.contributor.authorDulek, B.en_US
dc.contributor.authorGezici, Sinanen_US
dc.contributor.authorArıkan, Orhanen_US
dc.date.accessioned2016-02-08T09:38:09Z
dc.date.available2016-02-08T09:38:09Z
dc.date.issued2013en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractIn this correspondence, we study the convexity properties for the problem of detecting the presence of a signal emitted from a power constrained transmitter in the presence of additive Gaussian noise under the Neyman-Pearson (NP) framework. It is proved that the detection probability corresponding to the α-level likelihood ratio test (LRT) is either strictly concave or has two inflection points such that the function is strictly concave, strictly convex, and finally strictly concave with respect to increasing values of the signal power. In addition, the analysis is extended from scalar observations to multidimensional colored Gaussian noise corrupted signals. Based on the convexity results, optimal and near-optimal time sharing strategies are proposed for average/peak power constrained transmitters and jammers. Numerical methods with global convergence are also provided to obtain the parameters for the proposed strategies.en_US
dc.identifier.doi10.1109/TSP.2013.2259820en_US
dc.identifier.issn1053-587X
dc.identifier.urihttp://hdl.handle.net/11693/20927
dc.language.isoEnglishen_US
dc.publisherIEEEen_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/TSP.2013.2259820en_US
dc.source.titleIEEE Transactions on Signal Processingen_US
dc.subjectConvexityen_US
dc.subjectGaussian noiseen_US
dc.subjectNeyman-Pearson (NP)en_US
dc.subjectConvexityen_US
dc.subjectNeyman-pearsonen_US
dc.subjectPower constraintsen_US
dc.subjectStochastic signalingen_US
dc.subjectTime-sharingen_US
dc.subjectError detectionen_US
dc.subjectGaussian noise (electronic)en_US
dc.subjectJammingen_US
dc.subjectOptimizationen_US
dc.subjectTransmittersen_US
dc.subjectSignal detectionen_US
dc.titleConvexity properties of detection probability under additive Gaussian noise: optimal signaling and jamming strategiesen_US
dc.typeArticleen_US

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