Date Added: Apr 2011
Conventional distributed power control algorithms in cognitive radio networks are based on the assumption of perfect channel estimation which may lead to performance degradation in practical systems. In this paper, the authors investigate the robust distributed power control problem in cognitive radio networks by considering the uncertainty of channel gain. Their objective is to minimize the total power consumption of cognitive transmitters under both QoS constraint at each cognitive receiver and interference constraint at primary receiver. The channel gain fluctuation is described using ellipsoid sets and the robust power control problem can be formulated as a Semi-Infinite Programming (SIP) problem. It can be transformed to a Second Order Cone Programming (SOCP) problem by considering the worst case of constraints.