Joint Bandwidth and Power Allocations for Cognitive Radio Networks with Imperfect Spectrum Sensing

In this paper we study the joint bandwidth and power allocations for Cognitive Radio Networks (CRNs), which opportunistically operate on a set of channels unused by multiple Primary User (PU) Networks. Our objective is to minimize the total power allocation of all coexisting Secondary Users (SUs) and guarantee their Quality of Service (QoS) requirements. We consider the imperfect spectrum sensing of CRNs and adopt the interference constraint (in terms of the uplink interference constraint to PU Base Stations) to address PUs' protection when miss-detection happens. We propose an efficient joint allocation algorithm to solve our problem and demonstrate its performance through sufficient numerical experiments.