关键词: 多目标定位, SL0, 压缩感知, 无线传感网络

Abstract: In order to improve the accuracy and rapidity of localization, the improved smoothed [l0] compressed sensing algorithm will be applied in wireless sensor network localization. First, using the gridding method for sensing area, target localization is converted to compressed sensing issue and applying hyperbolic tangent function as the approximation to the big steep nature in the norm, the problem of minimization of the [l0] norm in the reconstruction can be transformed into a convex optimization problem for the smoothed function. Then, in order to solve the problem of slow convergence and inaccuracy estimation caused by “notched effect” of the gradient method, hybrid optimization algorithm, which combines the advantages of the gradient method and the revised Newton method, is introduced to improve the accuracy and speed of sparse recovery. The numerical simulation results show that the localization performance is improved by the proposed algorithm, comparing with OMP algorithm, BP algorithm and SL0 algorithm under the same condition.

Key words: multi-target localization, SL0, compressed sensing, wireless sensor networks