A Low-Complexity Geometric Bilateration Method for Localization in Wireless Sensor Networks and Its Comparison with Least-Squares Methods

This research presents a distributed and formula-based bilateration algorithm that can be used to provide initial set of locations. In this scheme each node uses distance estimates to anchors to solve a set of circle-circle intersection (CCI) problems, solved through a purely geometric formulation....

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Main Authors: Juan Cota-Ruiz, Jose-Gerardo Rosiles, Ernesto Sifuentes, Pablo Rivas-Perea
Format: Article
Language:English
Published: MDPI AG 2012-01-01
Series:Sensors
Subjects:
Online Access:http://www.mdpi.com/1424-8220/12/1/839/
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author Juan Cota-Ruiz
Jose-Gerardo Rosiles
Ernesto Sifuentes
Pablo Rivas-Perea
author_facet Juan Cota-Ruiz
Jose-Gerardo Rosiles
Ernesto Sifuentes
Pablo Rivas-Perea
author_sort Juan Cota-Ruiz
collection DOAJ
description This research presents a distributed and formula-based bilateration algorithm that can be used to provide initial set of locations. In this scheme each node uses distance estimates to anchors to solve a set of circle-circle intersection (CCI) problems, solved through a purely geometric formulation. The resulting CCIs are processed to pick those that cluster together and then take the average to produce an initial node location. The algorithm is compared in terms of accuracy and computational complexity with a Least-Squares localization algorithm, based on the Levenberg–Marquardt methodology. Results in accuracy vs. computational performance show that the bilateration algorithm is competitive compared with well known optimized localization algorithms.
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spelling doaj.art-92fcfcaf789d45e295fe3e4d10acb66b2022-12-22T04:00:21ZengMDPI AGSensors1424-82202012-01-0112183986210.3390/s120100839A Low-Complexity Geometric Bilateration Method for Localization in Wireless Sensor Networks and Its Comparison with Least-Squares MethodsJuan Cota-RuizJose-Gerardo RosilesErnesto SifuentesPablo Rivas-PereaThis research presents a distributed and formula-based bilateration algorithm that can be used to provide initial set of locations. In this scheme each node uses distance estimates to anchors to solve a set of circle-circle intersection (CCI) problems, solved through a purely geometric formulation. The resulting CCIs are processed to pick those that cluster together and then take the average to produce an initial node location. The algorithm is compared in terms of accuracy and computational complexity with a Least-Squares localization algorithm, based on the Levenberg–Marquardt methodology. Results in accuracy vs. computational performance show that the bilateration algorithm is competitive compared with well known optimized localization algorithms.http://www.mdpi.com/1424-8220/12/1/839/distributed-localizationwireless sensor networksLeast Squares (LS)optimizationbilateration
spellingShingle Juan Cota-Ruiz
Jose-Gerardo Rosiles
Ernesto Sifuentes
Pablo Rivas-Perea
A Low-Complexity Geometric Bilateration Method for Localization in Wireless Sensor Networks and Its Comparison with Least-Squares Methods
Sensors
distributed-localization
wireless sensor networks
Least Squares (LS)
optimization
bilateration
title A Low-Complexity Geometric Bilateration Method for Localization in Wireless Sensor Networks and Its Comparison with Least-Squares Methods
title_full A Low-Complexity Geometric Bilateration Method for Localization in Wireless Sensor Networks and Its Comparison with Least-Squares Methods
title_fullStr A Low-Complexity Geometric Bilateration Method for Localization in Wireless Sensor Networks and Its Comparison with Least-Squares Methods
title_full_unstemmed A Low-Complexity Geometric Bilateration Method for Localization in Wireless Sensor Networks and Its Comparison with Least-Squares Methods
title_short A Low-Complexity Geometric Bilateration Method for Localization in Wireless Sensor Networks and Its Comparison with Least-Squares Methods
title_sort low complexity geometric bilateration method for localization in wireless sensor networks and its comparison with least squares methods
topic distributed-localization
wireless sensor networks
Least Squares (LS)
optimization
bilateration
url http://www.mdpi.com/1424-8220/12/1/839/
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