Abstract
AbstractIn underlay cognitive radio networks, secondary users can share the same frequency band with primary users under the condition of meeting interference temperature constraint. In order to improve their spectrum efficiency, we consider a market competitive equilibrium (CE) model to formulate the multi-channel power allocation problem. In this paper, we prove the existence and uniqueness of CE. We simplify the CE to Nash equilibrium (NE) first, which exists and is unique under weak-interference conditions, for the fixed price; we then prove that the prices converge to the equilibrium price and present the sufficient condition of unique CE solution. Furthermore, we propose a distributed fast convergent power allocation algorithm (FCPAA) with round robin rules. The simulation results show that FCPAA can satisfy the interference temperature constraint perfectly and converge faster than the one in literature [9].KeywordsCognitive Radiopower allocationcompetitive equilibriumNash equilibriumdistributed algorithm
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