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Successful deployment of cognitive radios requires efficient sensing of thespectrum and dynamic adaptation of the available resources according to thesensed (imperfect) information. While most works design these two tasksseparately, in this paper we address them jointly. In particular, weinvestigate an overlay cognitive radio with multiple secondary users thataccess orthogonally a set of frequency bands originally devoted to primaryusers. The schemes are designed to minimize the cost of sensing, maximize theperformance of the secondary users (weighted sum rate), and limit theprobability of interfering the primary users. The joint design is addressedusing dynamic programming and nonlinear optimization techniques. A two-stepstrategy that first finds the optimal resource allocation for any sensingscheme and then uses that solution as input to solve for the optimal sensingpolicy is implemented. The two-step strategy is optimal, gives rise tointuitive optimal policies, and entails a computational complexity much lowerthan that required to solve the original formulation.

Jointly Optimal Sensing and Resource Allocation for Multiuser Overlay Cognitive Radios