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http://dx.doi.org/10.7840/KICS.2011.36C.11.702

A BLUE Estimator for Passive Localization by TDOA Method  

Lee, Young-Kyu (한국표준과학연구원 기반표준본부 시간센터)
Yang, Sung-Hoon (한국표준과학연구원 기반표준본부 시간센터)
Kwon, Taeg-Yong (한국표준과학연구원 기반표준본부 시간센터)
Lee, Chang-Bok (한국표준과학연구원 기반표준본부 시간센터)
Park, Byung-Koo (국방과학연구소)
Lee, Won-Jin (LIG 넥스원)
Publication Information
The Journal of Korean Institute of Communications and Information Sciences / v.36, no.11C, 2011 , pp. 702-711 More about this Journal
Abstract
In this paper, we derived a closed-form equation of a Best Linear Unbiased Estimator (BLUE) and its Crammer-Rao Lower Bound (CRLB) for the estimation of the position of the emitter based on the Time Difference of Arrival (TDOA) teclmique. The BLUE and CRLB were derived for the case of estimating 2 dimensional position of the emitter with 3 base stations or sensors, and for this purpose, we nsed an approximated equation of the TDOA hyperbola equation obtained from the first order Taylor-series after setting the reference points of the position. The derived equation can be used for any kind of noises which are uncorrelated in each other in the TOA measurement noises and for a white Gaussian noise also.
Keywords
TDOA; location estimator; CRLB; BLUE; CEP;
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  • Reference
1 "FCC Report and Order and Further Notice of Proposed Rule Making", FCC Docket 96-264, June 1996.
2 W. H. Foy, "Position-Location Solutions by Taylor-Series Estimation," IEEE Trans. Aerosp. Electron. Syst., vol. AES-12, pp, 187-194, 1976.   DOI   ScienceOn
3 G. Carter, "Time Delay Estimation for Passive Sonar Signal Processing," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-29, pp. 463-470, 1981.
4 Y. T. Chan, K. C. Ho, "A Simple and Efficient Estimator for Hyperbolic Location," IEEE Trans. Signal Orocess., vol. 42, no. 8, pp. 1905-1915, 1994.   DOI   ScienceOn
5 T. S. Rappaport, J. H. Reed, B. D. Woerner, "Position Location Using Wireless Communications on Highways of the Future," IEEE Communications Magazine, vol. 34, no. 10, pp. 33-41, 1996.   DOI   ScienceOn
6 S. M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory, Prentice hall International, Inc., 1993.
7 D. J. Torrieri, "Statistical Theory of Passive Location Systems," IEEE Trans. Aerosp. Electron. Syst., vol. AES-20, no. 2, pp, 183-198, 1984.   DOI   ScienceOn
8 K. Dogancay, H. Hmam, "On Optimal Sensor placement for Time-Difference-of-Arrival Localization Utilizing Uncertainty Minimization," Proc. on 17th European Signal Processing Conference, pp. 1136- 1140, 2009.