On the Asymptotic Performance Analysis of the k-th Best Link Selection over Non-identical Non-central Chi-square Fading Channels

Abstract

This paper derives the asymptotic k-th maximum order statistics of a sequence of independent and non-identically distributed (i.n.i.d.) non-central chi-square random variables with two degrees of freedom. We demonstrate the utility of these results in characterising the signal to noise ratio of a k-th best selection combining receiver with access to a large number of i.n.i.d. signal links each experiencing Rician fading. Furthermore, we derive simple expressions for the corresponding outage probability, average throughput, achievable throughput, and the average bit error probability. The proposed results are validated via extensive Monte Carlo simulations.