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

We consider a general selection-diversity scheme in which the kth best link is selected from a number of links. We use extreme value theory to derive simple closed-form asymptotic expressions for the average throughput, effective throughput, and average bit error probability for the kth 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.