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.
翻译:本文生成了独立和非身份分布( i. d. ) 非中央奇平方随机变数序列的无线K- 最高顺序统计, 自由度为两度。 我们展示了这些结果的有用性, 将接收器与大量 i. n. id. 信号链接连接在一起的 k- 最佳选择方的信号与噪音比 。 此外, 我们为相应的溢出概率、 平均吞吐量、 可实现的吞吐量和平均位误差概率生成了简单的表达方式 。 提议的结果通过广泛的蒙特卡洛 模拟验证 。