Elliptic Localization Under Asynchronous Transmissions

This article presents an efficient solution for the problem of elliptic object localization under asynchronous transmissions such that each measurement is subject to an unknown clock offset. The proposed method is an algebraic semi closed-form estimator which is based on three successive stages of offsets elimination, offsets estimation and refinement. The proposed method is also extended to a practical case with uncertainty in transmitters positions. Through theoretical performance analysis, the proposed estimators are shown to achieve the Cramer-Rao bound (CRB) accuracy under small Gaussian noise. Numerical simulations verify the theoretical results and demonstrate a significant performance improvement of the proposed estimator compared to the state-of-the-art methods.