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dc.contributor.authorÖzçelikkale, A.en_US
dc.contributor.authorHaldun M. Özaktaşen_US
dc.contributor.authorArikan, E.en_US
dc.date.accessioned2016-02-08T09:58:02Z
dc.date.available2016-02-08T09:58:02Z
dc.date.issued2010-03-22en_US
dc.identifier.issn1053-587X
dc.identifier.urihttp://hdl.handle.net/11693/22284
dc.description.abstractWe are concerned with the problem of optimally measuring an accessible signal under a total cost constraint, in order to estimate a signal which is not directly accessible. An important aspect of our formulation is the inclusion of a measurement device model where each device has a cost depending on the number of amplitude levels that the device can reliably distinguish. We also assume that there is a cost budget so that it is not possible to make a high amplitude resolution measurement at every point. We investigate the optimal allocation of cost budget to the measurement devices so as to minimize estimation error. This problem differs from standard estimation problems in that we are allowed to design the number and noise levels of the measurement devices subject to the cost constraint. Our main results are presented in the form of tradeoff curves between the estimation error and the cost budget. Although our primary motivation and numerical examples come from wave propagation problems, our formulation is also valid for other measurement problems with similar budget limitations where the observed variables are related to the unknown variables through a linear relation. We discuss the effects of signal-to-noise ratio, distance of propagation, and the degree of coherence (correlation) of the waves on these tradeoffs and the optimum cost allocation. Our conclusions not only yield practical strategies for designing optimal measurement systems under cost constraints, but also provide insights into measurement aspects of certain inverse problems.en_US
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TÜBİTAK)en_US
dc.language.isoEnglishen_US
dc.source.titleIEEE Transactions on Signal Processingen_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/TSP.2010.2046435en_US
dc.subjectDistributed estimationen_US
dc.subjectError-cost tradeoffen_US
dc.subjectExperiment designen_US
dc.subjectFractional Fourier transformen_US
dc.subjectMeasurement designen_US
dc.subjectRandom field estimationen_US
dc.subjectRate distortionen_US
dc.subjectSensingen_US
dc.subjectWave propagationen_US
dc.titleSignal recovery with cost-constrained measurementsen_US
dc.typeArticleen_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.citation.spage3607en_US
dc.citation.epage3617en_US
dc.citation.volumeNumber58en_US
dc.citation.issueNumber7en_US
dc.identifier.doi10.1109/TSP.2010.2046435en_US
dc.publisherIEEen_US
dc.contributor.bilkentauthorHaldun M. Özaktaş


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