Abstract
Conference Title: 2018 IEEE 88th Vehicular Technology Conference (VTC-Fall) Conference Start Date: 2018, Aug. 27 Conference End Date: 2018, Aug. 30 Conference Location: Chicago, IL, USA We analyze the asymptotic average and effective throughputs of a multiuser diversity scheme for a secondary multiuser network consisting of multiple secondary users (transmitters) and one secondary receiver. Considering a transmit power adaptation strategy at the secondary users to satisfy the instantaneous interference constraint at the primary receiver, the secondary receiver selects the $k$ -th best secondary user for transmission, namely, the one with the $k$ -th highest signal-to-noise ratio (SNR). We use extreme value theory to show that the $k$ -th highest SNR converges uniformly in distribution to an inverse gamma random variable for a fixed $k$ and large number of secondary users. We use this result to derive closed-form asymptotic expressions for the average and effective throughputs of the $k$ -th best secondary user.