RSS-Based Cooperative Localization in Wireless Sensor Networks via Second-Order Cone Relaxation

In this paper, we consider the received signal strength-based cooperative localization problem in both known and unknown transmit power of target nodes. For the case of known transmit power, we treat the transmit power as a constant and derive a novel non-convex weighted least squares estimator which can be transformed into a second-order cone programming (SOCP) problem for reaching an efficient solution. For the case of unknown transmit power, we treat the transmit power as an additional unknown parameter and propose a hybrid maximum likelihood-SOCP algorithm to alternatively estimate the target node locations and transmit power. Simulation results confirm the effectiveness of the proposed methods in all considered settings.