Upper bounds on position error of a single location estimate in wireless sensor networks
buir.contributor.author | Gezici, Sinan | |
dc.citation.issueNumber | 1 | en_US |
dc.citation.volumeNumber | 2014 | en_US |
dc.contributor.author | Gholami, M. R. | en_US |
dc.contributor.author | Ström, E. G. | en_US |
dc.contributor.author | Wymeersch, H. | en_US |
dc.contributor.author | Gezici, Sinan | en_US |
dc.date.accessioned | 2016-02-08T11:02:46Z | |
dc.date.available | 2016-02-08T11:02:46Z | |
dc.date.issued | 2014 | en_US |
dc.department | Department of Electrical and Electronics Engineering | en_US |
dc.description.abstract | This 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.provenance | Made 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: 2014 | en |
dc.identifier.doi | 10.1186/1687-6180-2014-4 | en_US |
dc.identifier.issn | 1687-6172 | |
dc.identifier.uri | http://hdl.handle.net/11693/26644 | |
dc.language.iso | English | en_US |
dc.publisher | Hindawi Publishing Corporation | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1186/1687-6180-2014-4 | en_US |
dc.source.title | Eurasip Journal on Advances in Signal Processing | en_US |
dc.subject | Convex feasibility problem | en_US |
dc.subject | Position error | en_US |
dc.subject | Positioning problem | en_US |
dc.subject | Projection onto convex set | en_US |
dc.subject | Semidefinite relaxation | en_US |
dc.subject | Wireless sensor networks | en_US |
dc.subject | Worst-case position error | en_US |
dc.subject | Measurement errors | en_US |
dc.subject | Optimization | en_US |
dc.subject | Probability density function | en_US |
dc.subject | Sensor nodes | en_US |
dc.subject | Wireless sensor networks | en_US |
dc.subject | Convex feasibility problem | en_US |
dc.title | Upper bounds on position error of a single location estimate in wireless sensor networks | en_US |
dc.type | Article | en_US |
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