Asymptotic Performance Analysis of the $k$th Best Link Selection Over Wireless Fading Channels: An Extreme Value Theory Approach

Abstract

Abstract-We consider a general selection-diversity (SD) scheme in which the k-th best link is selected from a number of links. We use extreme value theory (EVT) to derive simple closed-form asymptotic expressions for the average throughput, effective throughput and average bit error probability (BEP) for the k-th best link over various channel models that are widely used to characterize fading in wireless communication systems. As an application example, we consider the Weibull fading channel model and verify the accuracy of the derived asymptotic expressions through Monte Carlo simulations.

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

“…Gamma random variables with PDF 4 2 Here, the k-th highest SIR converges to an inverse gamma random variable. This is different from [19], where the k-th highest SNR converges to a Log-Gamma random variable. 3 A portion of this work was accepted for publication in 2018 IEEE Vehicular Technology Conference (VTC) [21].…”

“…Combining (22), (23) and (24), it follows that E R (N −k+1) is as expressed in (19). Effective Throughput: Conditioning on the ST transmit power P in (9) and by exploiting Lemma 2 of the Appendix, we infer that E 1 + P Z (N −k+1) −A |P can be approximated as…”

“…Unlike [19], in this paper we consider a downlink interference-limited secondary multiuser network, where the noise at each secondary user receiver is negligible compared to the interference from the PT. We assume that the ST transmits information to the k-th best secondary user (SU), namely, the SU with the k-th highest SIR.…”

“…Invoking (19) and with the help of (31), one can show that lim PS →∞ ln (bP S ) − E1 η T PS = ln (bT η) + E 0 . Therefore, as P S → ∞, the average throughput is as expressed in (29).…”

On the Asymptotic Throughput of the $k$-th Best Secondary User Selection in Cognitive Radio Systems

“…Therefore, another approach based on extreme value theory (EVT) is used to analyze the throughput of the k-th best SU selection scheme in underlay CR systems. Recently, EVT has been used to derive simple closed form asymptotic expressions for the average and effective throughputs of the k-th best link selection for traditional wireless communication systems [12]. Our contribution in this paper is to utilize EVT to analyze the average and effective throughputs of the k-th best SU selection scheme of underlay CR systems.…”