Power Optimization for Network Localization

Abstract

Abstract-Reliable and accurate localization of mobile objects is essential for many applications in wireless networks. In rangebased localization, the position of the object can be inferred using the distance measurements from wireless signals exchanged with active objects or reflected by passive ones. Power allocation for ranging signals is important since it affects not only network lifetime and throughput but also localization accuracy. In this paper, we establish a unifying optimization framework for power allocation in both active and passive localization networks. In particular, we first determine the functional properties of the localization accuracy metric, which enable us to transform the power allocation problems into second-order cone programs (SOCPs). We then propose the robust counterparts of the problems in the presence of parameter uncertainty and develop asymptotically optimal and efficient near-optimal SOCP-based algorithms. Our simulation results validate the efficiency and robustness of the proposed algorithms.

Jamming of Wireless Localization Systems

“…Then, the solution of (19) (equivalently, (20)) always operates at the total power limit; that is, 1 T p J opt = P T . In practice, the total power limit is related to the power/energy consumption of the system, which is set according to certain cost considerations.…”

“…Although there exists no previous work on optimal power allocation for jammer nodes in a wireless localization system, power allocation for wireless localization and radar systems has recently been considered in [11]- [20]. The study in [11] considers the minimization of the squared position error bound (SPEB) for the purpose of optimal anchor power allocation, anchor selection, or anchor deployment.…”

“…The studies in [19] and [20] consider the optimal power allocation problem for both wireless network localization (active) and multiple radar localization (passive) systems. Based on the convexity and lower rank properties of the SPEB, the power allocation problems are transformed into secondorder cone programs (SOCPs), leading to efficient solutions.…”

“…Due to the non-convexity of the optimal placement problem, the solution is provided only for special scenarios [27]. Unlike the power allocation studies for wireless localization and radar systems in the literature [11]- [20], this study investigates the optimal power allocation problem for jammer nodes in order to degrade the performance of a given wireless localization system. In particular, the optimal power allocation is performed for jammer nodes to maximize either the average CRLB or the minimum CRLB of the target nodes.…”

Optimal jammer placement in wireless localization networks

“…The CRLB is considered as a performance metric since it bounds the localization performance of a target node in terms of the mean-squared error [12]- [14]. In particular, the minimum of the CRLBs of the target nodes is considered as the objective function to guarantee that all the target nodes have localization accuracy bounded by a certain limit.…”