### Abstract

We consider the class of ad hoc networks, where a small percentage of the nodes are assumed to know their locations a priori and are denoted as reference nodes. Starting from the reference nodes, location information of other nodes are estimated in a hop by hop fashion. Beacon nodes are defined to be nodes that already have a location information (including the reference nodes). Using a two-dimensional cartesian coordinate system, we show that given a maximum of±ε error in the location of each of the beacon nodes anda maximum error of ±δ in each of the measured ranges along either axes, the location of a node can be computed within an error bound of±[3ε(l + √2) + 2δ] to ±(3ε + 2δ) along one axis and within ±[2δ(1 + √2) + 3ε] to ±(3ε+2δ) along its orthogonal axis, by using the beacon selection algorithm proposed in this paper.

Original language | English |
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Title of host publication | Proceedings - International Conference on Computing: Theory and Applications, ICCTA 2007 |

Pages | 87-92 |

Number of pages | 6 |

DOIs | |

Publication status | Published - 2 Aug 2007 |

Externally published | Yes |

Event | International Conference on Computing: Theory and Applications, ICCTA 2007 - Kolkata, India Duration: 5 Mar 2007 → 7 Mar 2007 |

### Other

Other | International Conference on Computing: Theory and Applications, ICCTA 2007 |
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Country | India |

City | Kolkata |

Period | 5/3/07 → 7/3/07 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Networks and Communications
- Computational Theory and Mathematics
- Hardware and Architecture

### Cite this

*Proceedings - International Conference on Computing: Theory and Applications, ICCTA 2007*(pp. 87-92). [4127348] https://doi.org/10.1109/ICCTA.2007.1

**A beacon selection algorithm for bounded error location estimation in ad hoc networks.** / Sinha, Koushik; Chowdhury, Atish Datta.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings - International Conference on Computing: Theory and Applications, ICCTA 2007.*, 4127348, pp. 87-92, International Conference on Computing: Theory and Applications, ICCTA 2007, Kolkata, India, 5/3/07. https://doi.org/10.1109/ICCTA.2007.1

}

TY - GEN

T1 - A beacon selection algorithm for bounded error location estimation in ad hoc networks

AU - Sinha, Koushik

AU - Chowdhury, Atish Datta

PY - 2007/8/2

Y1 - 2007/8/2

N2 - We consider the class of ad hoc networks, where a small percentage of the nodes are assumed to know their locations a priori and are denoted as reference nodes. Starting from the reference nodes, location information of other nodes are estimated in a hop by hop fashion. Beacon nodes are defined to be nodes that already have a location information (including the reference nodes). Using a two-dimensional cartesian coordinate system, we show that given a maximum of±ε error in the location of each of the beacon nodes anda maximum error of ±δ in each of the measured ranges along either axes, the location of a node can be computed within an error bound of±[3ε(l + √2) + 2δ] to ±(3ε + 2δ) along one axis and within ±[2δ(1 + √2) + 3ε] to ±(3ε+2δ) along its orthogonal axis, by using the beacon selection algorithm proposed in this paper.

AB - We consider the class of ad hoc networks, where a small percentage of the nodes are assumed to know their locations a priori and are denoted as reference nodes. Starting from the reference nodes, location information of other nodes are estimated in a hop by hop fashion. Beacon nodes are defined to be nodes that already have a location information (including the reference nodes). Using a two-dimensional cartesian coordinate system, we show that given a maximum of±ε error in the location of each of the beacon nodes anda maximum error of ±δ in each of the measured ranges along either axes, the location of a node can be computed within an error bound of±[3ε(l + √2) + 2δ] to ±(3ε + 2δ) along one axis and within ±[2δ(1 + √2) + 3ε] to ±(3ε+2δ) along its orthogonal axis, by using the beacon selection algorithm proposed in this paper.

UR - http://www.scopus.com/inward/record.url?scp=34547335869&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34547335869&partnerID=8YFLogxK

U2 - 10.1109/ICCTA.2007.1

DO - 10.1109/ICCTA.2007.1

M3 - Conference contribution

SN - 0769527701

SN - 9780769527703

SP - 87

EP - 92

BT - Proceedings - International Conference on Computing: Theory and Applications, ICCTA 2007

ER -