Title
Asymptotic Performance Analysis of Generalized User Selection for Interference-Limited Multiuser Secondary Networks
Abstract
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 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${k}$ </tex-math></inline-formula> th best SU, namely, the one with the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${k}$ </tex-math></inline-formula> th highest signal-to-interference ratio (SIR). We use extreme value theory to show that the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${k}$ </tex-math></inline-formula> th highest SIR converges uniformly in distribution to an inverse gamma random variable for a fixed <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${k}$ </tex-math></inline-formula> 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 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${k}$ </tex-math></inline-formula> 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.
Year
DOI
Venue
2019
10.1109/TCCN.2019.2893219
IEEE Transactions on Cognitive Communications and Networking
Keywords
Field
DocType
Throughput,Interference,Fading channels,Random variables,Receivers,Radio transmitters,Power system reliability
Inverse,Transmitter,Topology,Random variable,Diversity scheme,Computer science,Extreme value theory,Real-time computing,Interference (wave propagation),Throughput,Bit error rate
Journal
Volume
Issue
ISSN
5
1
2332-7731
Citations 
PageRank 
References 
2
0.35
14
Authors
3
Name
Order
Citations
PageRank
Yazan H. Al-Badarneh182.92
Costas N. Georghiades230132.18
Alouini Mohamed-Slim3122611194.14