Rss based cooperative sensor network localization with unknown transmit power

This work aims to estimate multiple node positions in the presence of unknown transmit powers within the context of cooperative sensor network localization. In the adopted scheme, each source can communicate with a set of anchors (probably not in sufficient numbers) and a set of other sources. Received Signal Strength (RSS) between them are measured. Since finding the Maximum Likelihood Estimates (MLE) of the positions and transmit powers given those measurements poses a difficult nonconvex optimization problem, it is approximated by a Nonlinear Least Squares (NLS) problem. Then, the position and transmit power of multiple sources are estimated jointly by solving Euclidean Distance Matrix (EDM) completion problem. Simulations show that the localization accuracy and the running time of the proposed method is better than the state of the art method and close to the Cramér-Rao Lower Bound (CRLB) for some scenarios.