Abstract
In wireless location systems the geometry between target and measuring points influences the positioning accuracy of the target. It is usually quantified by the geometric dilution of precision (GDOP). The GDOP depends on the geometry between target and measuring points. In this paper, firstly, a close form for the GDOP is derived as a function of both the number of measuring points and their bearing angle relative to the target. Then, such geometries that produce the lowest GDOP are reviewed with the close form expression of GDOP. Finally, a new geometry is proposed for absolute-range based 2-dimension (2-D) wireless location systems. The proposed geometry not only has the lowest GDOP but also forms the narrowest sector. In the proposed geometry all measuring points are distributed within a sector of π/2, relative to the target.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Porretta, M., Nepa, P., Manara, G., Giannetti, F.: Location, Location, Location. IEEE Vehicle Tech. Magazine 3(2), 20–29 (2008)
Mao, G., Fidan, B.: Localization Algorithms and Strategies for Wireless Sensor Networks. Information Science Reference (2009)
Levanon, C.: Lowest GDOP in 2-D Scenarios. In: IEEE Proc. Radar, Sonar Navig., vol. 147(3), pp. 149–155 (2000)
Bishop, A.N., Fidan, B., Anderson, B.D., Dogancay, K., Pathirana, P.N.: Optimality Analysis of Sensor-Target Localization Geometries. Automatica 46(3), 479–492 (2010)
Kay, S.M.: Fundamentals of Statistical Signal Processing. Estimation Theory, vol. 1. Prentice Hall, New Jersey (1993)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Quan, Q. (2011). The Tightest Geometry for Lowest GDOP in Range-Based 2-D Wireless Location Systems. In: Shen, G., Huang, X. (eds) Advanced Research on Computer Science and Information Engineering. CSIE 2011. Communications in Computer and Information Science, vol 153. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21411-0_43
Download citation
DOI: https://doi.org/10.1007/978-3-642-21411-0_43
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21410-3
Online ISBN: 978-3-642-21411-0
eBook Packages: Computer ScienceComputer Science (R0)