A BLUE Estimator of 3-D Positioning by TDOA Method 


Vol. 37,  No. 10, pp. 912-920, Oct.  2012


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  Abstract

In this paper, we derived a closed-form equation of a Best Linear Unbiased Estimator (BLUE) estimator for the 3 dimensional estimation of the position of the emitter based on the Time Difference of Arrival (TDOA) technique. The BLUE derived for the case of estimating 3 dimensional position of the emitter with 4 base stations or sensors, and for this purpose, we used 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.

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  Cite this article

[IEEE Style]

Y. Lee, S. Yang, T. Kwon, C. Lee, B. Park, W. Lee, "A BLUE Estimator of 3-D Positioning by TDOA Method," The Journal of Korean Institute of Communications and Information Sciences, vol. 37, no. 10, pp. 912-920, 2012. DOI: .

[ACM Style]

Young-kyu Lee, Sung-hoon Yang, Tac-Yung Kwon, Chang-bok Lee, Byung-koo Park, and Won-jin Lee. 2012. A BLUE Estimator of 3-D Positioning by TDOA Method. The Journal of Korean Institute of Communications and Information Sciences, 37, 10, (2012), 912-920. DOI: .

[KICS Style]

Young-kyu Lee, Sung-hoon Yang, Tac-Yung Kwon, Chang-bok Lee, Byung-koo Park, Won-jin Lee, "A BLUE Estimator of 3-D Positioning by TDOA Method," The Journal of Korean Institute of Communications and Information Sciences, vol. 37, no. 10, pp. 912-920, 10. 2012.