Upper bounds on position error of a single location estimate in wireless sensor networks

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buir.contributor.authorGezici, Sinan
dc.citation.issueNumber1en_US
dc.citation.volumeNumber2014en_US
dc.contributor.authorGholami, M. R.en_US
dc.contributor.authorStröm, E. G.en_US
dc.contributor.authorWymeersch, H.en_US
dc.contributor.authorGezici, Sinanen_US
dc.date.accessioned2016-02-08T11:02:46Z
dc.date.available2016-02-08T11:02:46Z
dc.date.issued2014en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractThis paper studies upper bounds on the position error for a single estimate of an unknown target node position based on distance estimates in wireless sensor networks. In this study, we investigate a number of approaches to confine the target node position to bounded sets for different scenarios. Firstly, if at least one distance estimate error is positive, we derive a simple, but potentially loose upper bound, which is always valid. In addition assuming that the probability density of measurement noise is nonzero for positive values and a sufficiently large number of distance estimates are available, we propose an upper bound, which is valid with high probability. Secondly, if a reasonable lower bound on negative measurement errors is known a priori, we manipulate the distance estimates to obtain a new set with positive measurement errors. In general, we formulate bounds as nonconvex optimization problems. To solve the problems, we employ a relaxation technique and obtain semidefinite programs. We also propose a simple approach to find the bounds in closed forms. Simulation results show reasonable tightness for different bounds in various situations.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T11:02:46Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2014en
dc.identifier.doi10.1186/1687-6180-2014-4en_US
dc.identifier.issn1687-6172
dc.identifier.urihttp://hdl.handle.net/11693/26644
dc.language.isoEnglishen_US
dc.publisherHindawi Publishing Corporationen_US
dc.relation.isversionofhttp://dx.doi.org/10.1186/1687-6180-2014-4en_US
dc.source.titleEurasip Journal on Advances in Signal Processingen_US
dc.subjectConvex feasibility problemen_US
dc.subjectPosition erroren_US
dc.subjectPositioning problemen_US
dc.subjectProjection onto convex seten_US
dc.subjectSemidefinite relaxationen_US
dc.subjectWireless sensor networksen_US
dc.subjectWorst-case position erroren_US
dc.subjectMeasurement errorsen_US
dc.subjectOptimizationen_US
dc.subjectProbability density functionen_US
dc.subjectSensor nodesen_US
dc.subjectWireless sensor networksen_US
dc.subjectConvex feasibility problemen_US
dc.titleUpper bounds on position error of a single location estimate in wireless sensor networksen_US
dc.typeArticleen_US

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