Robust Multistatic Target Localization in the Presence of NLOS Errors and Outliers

In this letter, we address the problem of multistatic target localization using time-sum-of-arrival (TSOA) measurements in the presence of errors due to non-line-of-sight (NLOS) propagation and outliers. To handle the effect of bias errors induced due to NLOS/outliers, an additional balancing parameter is incorporated in the data model. Then, a non-linear weighted least squares (NLWLS) based design objective is formulated for the joint estimation of source position and the balancing parameter. We then propose a simple iterative algorithm, which enjoys closed-form updates for the source position and the balancing parameter, based on the majorization-minimization (MM) technique to arrive at a minimizer of the NLWLS objective. Various numerical simulations are presented in the letter to demonstrate the accuracy of the proposed algorithm when compared to other existing algorithms in the literature.