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The existence of non-line-of-sight (NLOS) error can degrade the positioning performance in wireless sensor network localization system,especially in indoor localization.To overcome the localization error caused by NLOS propagation,a localization algorithm was proposed based on received signal strength (RSS) and time-of-arrival (TOA).Firstly,a non-convex optimization problem was established based on RSS and TOA.Then,the original non-convex optimization problem was transformed into a convex optimization problem through the second-order cone relaxation technique,therefore a sub-optimal solution to the original problem could be obtained efficiently.Finally,computer simulation results show that the proposed method can provide higher estimation accuracy and better performance.

A novel cooperative location method based on time-of-arrival in wireless senor networks was proposed. Firstly, the optimization problem for the target location was established. Secondly, the mixed semi-positive definite and second-order cone relaxation techniques were used to convert the original non-convex problem into a convex optimization problem. In this way, a fast suboptimal solution to the original problem was obtained. Finally, computer simulations show that the proposed method has lower root mean square error (RMSE) which is closer to the Cramer-Rao lower bound (CRB).