TDOA-based localization with NLOS mitigation via robust model transformation and neurodynamic optimization

This paper revisits the problem of locating a signal-emitting source from time-difference-of-arrival (TDOA) measurements under non-line-of-sight (NLOS) propagation. Many currently fashionable methods for NLOS mitigation in TDOA-based localization tend to solve their optimization problems by means of convex relaxation and, thus, are computationally inefficient. Besides, previous studies show that manipulating directly on the TDOA metric usually gives rise to intricate estimators. Aiming at bypassing these challenges, we turn to retrieve the underlying time-of-arrival framework by treating the unknown source onset time as an optimization variable and imposing certain inequality constraints on it, mitigate the NLOS errors through the $\ell_1$-norm robustification, and finally apply a hardware realizable neurodynamic model based on the redefined augmented Lagrangian and projection theorem to solve the resultant nonconvex optimization problem with inequality constraints. It is validated through extensive simulations that the proposed scheme can strike a nice balance between localization accuracy, computational complexity, and prior knowledge requirement.Comment: This paper has been accepted for publication by Signal Processin

Received Signal Strength Based Wireless Source Localization with Inaccurate Anchor Position

Received signal strength (RSS)-based wireless localization is easy to implement at low cost. In practice, exact positions of anchors may not be available. This paper focuses on determining the location of the source in the presence of inaccurate position of anchors based on RSS directly. We at first use Taylor expansion and a min-max approach to get the approximate maximum likelihood estimator of the source coordinates. Then we propose a relaxed semi-definite programming model to circumvent the non-convexity. We also propose a rounding algorithm considering both the inaccurate source location and the inaccurate anchor location. Simulation results together with analysis are presented to validate the proposed method.Comment: 12 pages, 8 figure