Robust MIMO cognitive radio systems under temperature interference constraints

In cognitive radio (CR) systems, the primary users (PU) are protected by temperature interference constraints imposed on secondary users (SU). However, such limitations may be easily violated by SUs if perfect SU-to-PU channel state information (CSI) is not available at the secondary transmitters. In this paper, we propose a novel and distributed design of MIMO CR networks that is robust against imperfect SU-to-PU CSI. Specifically, we formulate the system design as a noncooperative game and robust global interference constraints are enforced via pricing; the prices are thus additional variables to be optimized. Building on the advanced and new theory of finite-dimensional variational inequalities (VI) in the complex domain, we analyze the proposed NE problem and devise alternative distributed algorithms along with their convergence properties.