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In this paper, the authors analyze the asymptotic capacity in a spectrum sharing system where a Secondary Access Point (SAP) restrictively utilizes the licensed spectrum of an active primary user (PU) to broadcast information to multiple Secondary Users (SUs) simultaneously, as long as the interference power inflicted on the PU is less than a predefined threshold. At the SAP, interference Channel State Information (CSI) between the SAP and the PU is used to calculate the maximum allowable SAP transmit power to limit the interference. They first derive the average capacity when perfect CSIs are known at the SAP based on extreme value theory.
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