论文标题
$α$ - $η$ - $ \ MATHCAL {F} $和$α$ - $κ$ - $ \ $ \ MATHCAL {F} $复合褪色分布
The $α$-$η$-$\mathcal{F}$ and $α$-$κ$-$\mathcal{F}$ Composite Fading Distributions
论文作者
论文摘要
在本文中，我们介绍了$α$ - $η$ - $ \ Mathcal {f} $和$α$ - $κ$ - $ \ MATHCAL {F} $复合褪色分布。这两个分布概括了两个众所周知的复合褪色分布，即$η$ - $ $ $ $/逆伽玛和$κ$ - $ - $ $ $ $/反向伽马分布。对于这两个分布，我们都会为近瞬时信噪比（SNR）的概率密度函数（PDF）和累积密度函数（CDF）得出新的精确闭合形式表达式。此外，还获得了在新的复合褪色通道上运行的无线通信系统的中断概率（OP）。此外，我们在高SNR制度中得出渐近行动，以更多地了解褪色参数的影响。提供了包膜PDF和OPS的一些数值结果，并将其与蒙特 - 卡洛模拟结果进行了比较，以验证分析。
In this paper, we present the $α$-$η$-$\mathcal{F}$ and $α$-$κ$-$\mathcal{F}$ composite fading distributions. The two distributions generalize the two well-known composite fading distributions, namely the $η$-$μ$/inverse gamma and the $κ$-$μ$/inverse gamma distributions. For both distributions, we derive new exact closed-form expressions for the probability density function (PDF) and cumulative density function (CDF) of the instantaneous signal-to-noise ratio (SNR). Additionally, the outage probabilities (OPs) of a wireless communication system operating over the new composite fading channels are obtained. Moreover, we derive asymptotic OPs, in the high SNR regime, to gain more insight into the influence of fading parameters. Some numerical results on the envelope PDFs and OPs are provided and compared with Monte-Carlo simulation results to validate the analyses.
