On the Asymptotic Throughput of the k-th Best Secondary User Selection in Cognitive Radio Systems Academic Article uri icon


  • 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.

published proceedings


author list (cited authors)

  • A-Badarneh, Y. H., Georghiades, C. N., & Alouini, M.

citation count

  • 5

complete list of authors

  • A-Badarneh, Yazan H||Georghiades, Costas N||Alouini, Mohamed-Slim

publication date

  • August 2018