论文标题
$α$ -U或
The $α$-$η$-$κ$-$μ$ Fading Model: An Exact Statistical Representation
论文作者
论文摘要
$α$ - $η$ - $κ$ - $μ$是最概括和灵活的频道模型之一，非常适合来自不同传播环境的实验数据。 $α$ - $η$ - $κ$ - $ $ $ $模型的统计结果的现有统计结果包含一个无限的系列，该系列涉及正则化超测量功能和广义的laguerre多项式，禁止其在无线系统的性能分析中广泛应用。在本文中，我们采用了一种新颖的方法来得出$α$ - $η$ - $κ$ - $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $，而没有无限串联近似。使用单个FOX的H功能来提供衍生的统计结果，以进行可处理的性能分析和有效的数值计算，尤其是对于高频MMWave和Terahertz Wireless Transmissions。为了深入了解通道包络的分布，我们使用更直接的伽马函数在合理的通道参数范围内收集到确切的渐近伽马函数。 To further substantiate the proposed analysis, we present the exact outage probability and average bit-error-rate (BER) performance of a wireless link subjected to the $α$-$η$-$κ$-$μ$ fading model using a single tri-variate Fox's H-function.我们通过分析高信噪比（SNR）比例来获得系统的多样性顺序。我们使用数值和仿真分析来证明开发的统计结果的重要性与现有的无限串联表示形式相比，$α$ - $η$ - $κ$ - $ - $ $ $ $ $ $。
The $α$-$η$-$κ$-$μ$ is one of the most generalized and flexible channel models having an excellent fit to experimental data from diverse propagation environments. The existing statistical results on the envelope of $α$-$η$-$κ$-$μ$ model contain an infinite series involving regularized hypergeometric function and generalized Laguerre polynomial, prohibiting its widespread application in the performance analysis of wireless systems. In this paper, we employ a novel approach to derive density and distribution functions of the envelope of the $α$-$η$-$κ$-$μ$ fading channel without an infinite series approximation. The derived statistical results are presented using a single Fox's H-function for tractable performance analysis and efficient numerical computations, especially for high-frequency mmWave and terahertz wireless transmissions. To gain insight into the distribution of channel envelope, we develop an asymptotic analysis using a more straightforward Gamma function converging to the exact within a reasonable range of channel parameters. To further substantiate the proposed analysis, we present the exact outage probability and average bit-error-rate (BER) performance of a wireless link subjected to the $α$-$η$-$κ$-$μ$ fading model using a single tri-variate Fox's H-function. We obtain the diversity order of the system by analyzing the outage probability at a high signal-to-noise (SNR) ratio. We use numerical and simulation analysis to demonstrate the significance of the developed statistical results compared with the existing infinite series representation for the envelope of the $α$-$η$-$κ$-$μ$ model.
