This paper studies the positioning problem based on two-way time-of-arrival (TW-TOA) measurements in asynchronous wireless sensor networks. Since the optimal estimator for this problem involves difficult nonconvex optimization, we propose two suboptimal estimators based on squared-range least squares and least absolute mean of residual errors. The former approach is formulated as a general trust region subproblem which can be solved exactly under mild conditions. The latter approach is formulated as a difference of convex functions programming (DCP), which can be solved using a concave-convex procedure. Simulation results illustrate the high performance of the proposed techniques, especially for the DCP approach.
@article{arxiv.1407.5616,
title = {TW-TOA Based Positioning in the Presence of Clock Imperfections},
author = {Mohammad Reza Gholami and Sinan Gezici and Erik G. Ström},
journal= {arXiv preprint arXiv:1407.5616},
year = {2014}
}