3D Tdoa Problem Solution with Four Receiving Nodes

[EN] Time difference of arrival (TDOA) positioning methods have experienced growing importance over the last few years due to their multiple applications in local positioning systems (LPSs). While five sensors are needed to determine an unequivocal three-dimensional position, systems with four nodes...

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Detalles Bibliográficos
Autores: Díez González, Javier, Álvarez, Rubén, Sánchez González, Lidia, Fernández Robles, Laura, Pérez García, Hilde, Castejón Limas, Manuel
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:España
Institución:Universidad de León
Repositorio:BULERIA. Repositorio Institucional de la Universidad de León
OAI Identifier:oai:buleria.unileon.es:10612/23800
Acceso en línea:https://hdl.handle.net/10612/23800
Access Level:acceso abierto
Palabra clave:Ingeniería mecánica
Localization
TDOA
Disambiguation
2505
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repository_id_str
spelling 3D Tdoa Problem Solution with Four Receiving NodesDíez González, JavierÁlvarez, RubénSánchez González, LidiaFernández Robles, LauraPérez García, HildeCastejón Limas, ManuelIngeniería mecánicaLocalizationTDOADisambiguation2505[EN] Time difference of arrival (TDOA) positioning methods have experienced growing importance over the last few years due to their multiple applications in local positioning systems (LPSs). While five sensors are needed to determine an unequivocal three-dimensional position, systems with four nodes present two different solutions that cannot be discarded according to mathematical standards. In this paper, a new methodology to solve the 3D TDOA problems in a sensor network with four beacons is proposed. A confidence interval, which is defined in this paper as a sphere, is defined to use positioning algorithms with four different nodes. It is proven that the separation between solutions in the four-beacon TDOA problem allows the transformation of the problem into an analogous one in which more receivers are implied due to the geometric properties of the intersection of hyperboloids. The achievement of the distance between solutions needs the application of genetic algorithms in order to find an optimized sensor distribution. Results show that positioning algorithms can be used 96.7% of the time with total security in cases where vehicles travel at less than 25 m/s.SIMinisterio de Economía, Industria y CompetitividadMDPIIngenieria MecanicaEscuela de Ingenierias Industrial, Informática y Aeroespacial2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttps://hdl.handle.net/10612/23800reponame:BULERIA. Repositorio Institucional de la Universidad de Leóninstname:Universidad de LeónInglésinfo:eu-repo/grantAgreement/MINECO//DPI2016-79960-C3-2-Phttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:buleria.unileon.es:10612/238002026-06-24T12:43:27Z
dc.title.none.fl_str_mv 3D Tdoa Problem Solution with Four Receiving Nodes
title 3D Tdoa Problem Solution with Four Receiving Nodes
spellingShingle 3D Tdoa Problem Solution with Four Receiving Nodes
Díez González, Javier
Ingeniería mecánica
Localization
TDOA
Disambiguation
2505
title_short 3D Tdoa Problem Solution with Four Receiving Nodes
title_full 3D Tdoa Problem Solution with Four Receiving Nodes
title_fullStr 3D Tdoa Problem Solution with Four Receiving Nodes
title_full_unstemmed 3D Tdoa Problem Solution with Four Receiving Nodes
title_sort 3D Tdoa Problem Solution with Four Receiving Nodes
dc.creator.none.fl_str_mv Díez González, Javier
Álvarez, Rubén
Sánchez González, Lidia
Fernández Robles, Laura
Pérez García, Hilde
Castejón Limas, Manuel
author Díez González, Javier
author_facet Díez González, Javier
Álvarez, Rubén
Sánchez González, Lidia
Fernández Robles, Laura
Pérez García, Hilde
Castejón Limas, Manuel
author_role author
author2 Álvarez, Rubén
Sánchez González, Lidia
Fernández Robles, Laura
Pérez García, Hilde
Castejón Limas, Manuel
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Ingenieria Mecanica
Escuela de Ingenierias Industrial, Informática y Aeroespacial
dc.subject.none.fl_str_mv Ingeniería mecánica
Localization
TDOA
Disambiguation
2505
topic Ingeniería mecánica
Localization
TDOA
Disambiguation
2505
description [EN] Time difference of arrival (TDOA) positioning methods have experienced growing importance over the last few years due to their multiple applications in local positioning systems (LPSs). While five sensors are needed to determine an unequivocal three-dimensional position, systems with four nodes present two different solutions that cannot be discarded according to mathematical standards. In this paper, a new methodology to solve the 3D TDOA problems in a sensor network with four beacons is proposed. A confidence interval, which is defined in this paper as a sphere, is defined to use positioning algorithms with four different nodes. It is proven that the separation between solutions in the four-beacon TDOA problem allows the transformation of the problem into an analogous one in which more receivers are implied due to the geometric properties of the intersection of hyperboloids. The achievement of the distance between solutions needs the application of genetic algorithms in order to find an optimized sensor distribution. Results show that positioning algorithms can be used 96.7% of the time with total security in cases where vehicles travel at less than 25 m/s.
publishDate 2019
dc.date.none.fl_str_mv 2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/10612/23800
url https://hdl.handle.net/10612/23800
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/MINECO//DPI2016-79960-C3-2-P
dc.rights.none.fl_str_mv http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:BULERIA. Repositorio Institucional de la Universidad de León
instname:Universidad de León
instname_str Universidad de León
reponame_str BULERIA. Repositorio Institucional de la Universidad de León
collection BULERIA. Repositorio Institucional de la Universidad de León
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.81155

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