Single base station hybrid localization with scatter and angle of departure in circular scattering environment

Abstract

A single base station (BS) localization approach is proposed in this paper when the BS measures time of arrival (TOA) and angle of arrival (AOA). As the mobile stations (MSs) are gradually evolving to become sophisticated wireless access devices rather than just pocket telephones, the angle of departure (AOD) can also be obtained. Based on the circular scattering model, a nonlinear constrained optimization localization approach is formulated by introducing the coordinate of scatter. More accurate localization results with AOD and AOA informations can be achieved by reducing the feasible area among the coordinates of scatter, MS, and BS. Due to the measurement errors, the AOD and AOA measurements may decide incorrect relation among them. Then, the theoretic probabilities of wrong decision about the solo judgment of AOD measurement and joint judgment of AOD and AOA measurements are analyzed and derived, respectively. Simulation results demonstrate that the proposed approaches give better performance compared to the existing approaches, and the theoretic probabilities of wrong decision are consistent with simulation results.