GDOP-Assisted Location Estimation Algorithms in Wireless Location Systems

In recent years, wireless location estimation has attracted a significant amount of attention in different areas. The network-based location estimation schemes have been widely adopted based on the radio signals between the mobile station (MS) and the base stations (BSs). The two-step Least Square (LS) method has been studied in related research to provide efficient location estimation of the MS. However, the algorithm results in inaccurate location estimation under the circumstances with poor geometric dilution of precision (GDOP). In this paper, the GDOP- assisted location estimation (GOLE) schemes are proposed by considering the geometric relationships between the MS and its associated BSs. According to the minimal GDOP criterion, the BSs are fictitiously repositioned and are served as a new set of BSs within the formulation of the two-step LS algorithm. The proposed GOLE schemes can both preserve the computational efficiency from the two-step LS method and obtain precise location estimation under poor GDOP environments. Comparing with other existing schemes, numerical results demonstrate that the proposed GOLE algorithms can achieve better accuracy in wireless location estimation.

[1]  WADE FOY,et al.  Position-Location Solutions by Taylor-Series Estimation , 1976, IEEE Transactions on Aerospace and Electronic Systems.

[2]  K. C. Ho,et al.  A simple and efficient estimator for hyperbolic location , 1994, IEEE Trans. Signal Process..

[3]  Pi-Chun Chen,et al.  A non-line-of-sight error mitigation algorithm in location estimation , 1999, WCNC. 1999 IEEE Wireless Communications and Networking Conference (Cat. No.99TH8466).

[4]  J. Chaffee,et al.  GDOP and the Cramer-Rao bound , 1994, Proceedings of 1994 IEEE Position, Location and Navigation Symposium - PLANS'94.

[5]  Katina Michael,et al.  Control, trust, privacy, and security: evaluating location-based services , 2007, IEEE Technology and Society Magazine.

[6]  R.L. Moses,et al.  Locating the nodes: cooperative localization in wireless sensor networks , 2005, IEEE Signal Processing Magazine.

[7]  R. J. Kelly Reducing geometric dilution of precision using ridge regression , 1990 .

[8]  N. Levanon Lowest GDOP in 2-D scenarios , 2000 .

[9]  Pll Siinksen,et al.  Control , 1999, Diabetic medicine : a journal of the British Diabetic Association.