This work optimizes the (traditionally separated) tasks of sensing and radio resource allocation jointly for an underlay CR paradigm. The formulation considers that secondary users adapt their power and rate based on the available imperfect channel state information, while taking into account the cost associated with acquiring such an information. The objective of the optimization is twofold: maximize the (sum-rate) performance of the CR and protect the primary users through an average interference constraint. Designing the sensing in our underlay paradigm amounts to decide what channel/frequency slots are sensed at every time instant.
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