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International Journal of Digital Multimedia Broadcasting
Volume 2011 (2011), Article ID 851951, 6 pages
Research Article

Location Discovery Based on Fuzzy Geometry in Passive Sensor Networks

1School of Communication and Information Engineering, Shanghai University, Shanghai 200072, China
2School of Information Engineering, Shenzhen University, Shenzhen 518060, China

Received 1 November 2010; Accepted 1 April 2011

Academic Editor: Chi Zhou

Copyright © 2011 Rui Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Location discovery with uncertainty using passive sensor networks in the nation's power grid is known to be challenging, due to the massive scale and inherent complexity. For bearings-only target localization in passive sensor networks, the approach of fuzzy geometry is introduced to investigate the fuzzy measurability for a moving target in R2 space. The fuzzy analytical bias expressions and the geometrical constraints are derived for bearings-only target localization. The interplay between fuzzy geometry of target localization and the fuzzy estimation bias for the case of fuzzy linear observer trajectory is analyzed in detail in sensor networks, which can realize the 3-dimensional localization including fuzzy estimate position and velocity of the target by measuring the fuzzy azimuth angles at intervals of fixed time. Simulation results show that the resulting estimate position outperforms the traditional least squares approach for localization with uncertainty.