Abstract
We consider the problem of locating a mobile object (user) in the cellular communication system on the basis of the triangulation method and the Gaussian multipath-channel model under urban conditions of signal propagation. The probability density function of the maximum likelihood estimate of Cartesian coordinates of the user is found if two or three base stations arbitrarily located with respect to one another are used. It is shown that the user-locating error depends on the distance between the base stations, mutual location of the user and the base stations, and the variance of the user-bearing estimation error for each base station. In this case, using the third base station significantly improves the user-locating accuracy.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 51, No. 2, pp. 162–170, February 2008.
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Ermolayev, V.T., Flaksman, A.G., Bevan, D.D.N. et al. Estimation of the mobile user position in the cellular communication system in a multipath environment of signal propagation. Radiophys Quantum El 51, 145–152 (2008). https://doi.org/10.1007/s11141-008-9011-0
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DOI: https://doi.org/10.1007/s11141-008-9011-0