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Uncertainty Estimation in AoA based Localization using PCE
1 : Université libre de Bruxelles
(ULB)
2 : Universite Pierre et Marie Curie
(UPMC)
Université Pierre et Marie Curie (UPMC) - Paris VI, Université Pierre et Marie Curie [UPMC] - Paris VI
In this paper, polynomial chaos expansions (PCEs) are applied to angle-of-arrival-based localization. By applying a
polynomial chaos expansion on the least squares estimator, a new positioning method is designed. From this expansion,
three methods are discussed to obtain confidence regions of the position. Simulation results show that the proposed
methods provide a substantial gain in calculation time compared to a Monte-Carlo simulation, while giving accurate
approximations of the exact confidence region.
