Asymptotic Performance Analysis of Generalized User Selection for Interference-Limited Multiuser Secondary Networks

Yazan H. Al-Badarneh, Costas N. Georghiades, Mohamed-Slim Alouini

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


We analyze the asymptotic performance of a generalized multiuser diversity scheme for an interference-limited secondary multiuser network of underlay cognitive radio systems. Assuming a large number of secondary users (SUs) and that the noise at each SU's receiver is negligible compared to the interference from the primary transmitter, the secondary transmitter (ST) transmits information to the k th best SU, namely, the one with the k th highest signal-to-interference ratio (SIR). We use extreme value theory to show that the k th highest SIR converges uniformly in distribution to an inverse gamma random variable for a fixed k and large number of SUs. We use this result to derive asymptotic expressions for the average throughput, effective throughput, average bit error rate and outage probability of the k th best SU under continuous power adaptation at the ST, which ensures satisfaction of the instantaneous interference constraint at the primary receiver caused by the ST. Numerical simulations show that our derived asymptotic expressions are accurate for different values of system parameters.
Original languageEnglish (US)
Pages (from-to)82-92
Number of pages11
JournalIEEE Transactions on Cognitive Communications and Networking
Issue number1
StatePublished - Jan 15 2019

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This publication was made possible by the NPRP award [NPRP 8-648-2-273] from the Qatar National Research Fund (a member of The Qatar Foundation). The statements made herein are solely the responsibility of the authors.


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