The Necessary Observation Space for the Lowest GDOP in 2-D Wireless Location Systems

DOI

10.2991/icwcsn-16.2017.94How to use a DOI?

Keywords

Angle of coverage; the lowest GDOP; 2-D location system; absolute-range; wireless location systems

Abstract

The necessary observation space to achieve the lowest geometric dilution of precision (GDOP) based absolute-range measurement in two-dimension (2-D) wireless location systems is researched. Angle of coverage (AOC) is introduced as a parameter to describe the observation space. In fact, AOC reflects the geometric relationship between the target and the measuring points. A new clever geometric relationship between a target and N measuring points is proposed in this paper. And then, this geometric relationship is proved to have the minimum AOC to achieve the lowest GDOP in 2-D wireless location systems. It is shown that when the AOC is less than the minimum AOC, the lowest GDOP of could not be obtained. So the minimum AOC is called the necessary AOC. The necessary AOC is equal to when N is even, while the necessary AOC is monotonically decreasing to when N is odd. When the AOC is less than the necessary AOC, the optimal geometry is derived as well as its new low bound of GDOP.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Hong-Tao He
AU  - Qing-Yi Quan
AU  - Wen-Bo Wang
PY  - 2016/12
DA  - 2016/12
TI  - The Necessary Observation Space for the Lowest GDOP in 2-D Wireless Location Systems
BT  - Proceedings of the 3rd International Conference on Wireless Communication and Sensor Networks (WCSN 2016)
PB  - Atlantis Press
SP  - 453
EP  - 457
SN  - 2352-538X
UR  - https://doi.org/10.2991/icwcsn-16.2017.94
DO  - 10.2991/icwcsn-16.2017.94
ID  - He2016/12
ER  -