Robust resource allocation in wireless localization networks

Reliable and accurate position estimation of “agent” nodes is essential for many wireless applications. Typically agents perform position estimation through ranging with respect to “anchor” nodes with known positions. In range-based localization techniques, system accuracy and energy efficiency are affected by both transmit power and signal bandwidth. We thus investigate the joint power and bandwidth allocation (JPBA) problems in wireless localization networks. We first formulate a general optimization model, which is proved to be non-convex. An approximate algorithm based on single condensation method is proposed to solve the problem. We then formulate the robust counterpart of the problem in the presence of uncertainty of the agents' positions. An low complexity method is also proposed to solve the robust JPBA problem. Numerical results validate the accuracy and robustness of the proposed algorithms.