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.

翻译：本文引出非中央奇平方随机变数序列非同质非中央集中参数的正常美元最高顺序统计的零星分布。 我们展示了这些结果在无线通信系统三个不同应用中对信号与噪音比率的定性中的有用性,这些应用对Rician 退位链接的最大频道功率的美元-第一级数据感兴趣。 此外,我们还得出了非中央奇平方随机变数的简单表达方式,平均吞吐量、可实现的吞吐量和平均位数误差概率。 提议的结果通过广泛的Monte Carlo模拟得到验证。