Performance Analysis of Triangulation Techniques

Motti Gavish, Anthony J. Weiss

Abstract: The performance of two well known bearing only location techniques, the maximum likelihood (ML) and the Stansfield estimators, is examined. Analytical expressions are obtained for the bias and the covariance matrix of the estimation er- ror, which permit performance comparison for any case of interest. It is shown that the Stansfield al- gorithm provides biased estimates even for large numbers of measurements, in contrast with the ML method. The root mean square (RMS) error of the Stansfield technique is not necessarily larger than the RMS of the ML technique. However, it is shown that the ML technique is superior to the Stansfield method when the number of measure- ments is large enough. Simulation results verify the predicted theoretical performance.
Published in: Proceedings of the 48th Annual Meeting of The Institute of Navigation (1992)
June 29 - 1, 1992
ANA Westin Hotel
Dayton, OH
Pages: 179 - 188
Cite this article: Gavish, Motti, Weiss, Anthony J., "Performance Analysis of Triangulation Techniques," Proceedings of the 48th Annual Meeting of The Institute of Navigation (1992), Dayton, OH, June 1992, pp. 179-188.
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