Optimal allocation of sensing time between two primary channels in cognitive radio networks

This letter focuses on a cognitive radio network where two primary frequency channels (PCs) are opportunistically used by a secondary user (SU). Before transmitting the SU senses, during a given period of time, whether the PCs are idle or active. An allocation problem of the sensing period between two PCs is formulated as a convex optimization problem and an optimal solution is provided in this letter. Numerical investigation shows that the proposed optimal allocation improves the throughput of the SU under a miss-detection constraint to protect the PCs.