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

TL;DR

This paper analyzes the asymptotic behavior of the k-th best link in wireless channels with non-central chi-square fading, providing insights into system performance metrics like outage probability and throughput.

Contribution

It derives the asymptotic distribution of the k-th maximum order statistic for non-central chi-square variables and applies these results to wireless communication performance analysis.

Findings

Asymptotic distribution of the k-th maximum channel power derived.

Simple expressions for outage probability and throughput obtained.

Results validated through extensive simulations.

Abstract

This paper derives the asymptotic distribution of the normalized $k$-th maximum order statistics of a sequence of non-central chi-square random variables with non-identical non-centrality parameter. We demonstrate the utility of these results in characterizing the signal to noise ratio in three different applications in wireless communication systems where the statistics of the $k$-th maximum channel power over Rician fading links are of interest. Furthermore, we derive simple expressions for the asymptotic outage probability, average throughput, achievable throughput, and the average bit error probability. The proposed results are validated via extensive Monte Carlo simulations.