We present two alternative formulations for the distribution of the fluctuating two-ray (FTR) fading model, which simplify its statistical characterization and subsequent use for performance evaluation. New expressions for the probability density function (PDF) and cumulative distribution function of the FTR model are obtained based on the observation that the FTR fading distribution is described, for arbitrary $m$, as an underlying Rician Shadowed (RS) distribution with continuously varying parameter $K$, while for the special case of $m$ being an integer, the FTR fading model is described in terms of a finite number of underlying squared Nakagami-$m$ distributions. It is shown that the chief statistics and any performance metric that are computed by averaging over the PDF of the FTR fading model can be expressed in terms of a finite-range integral over the corresponding statistic or performance metric for the RS (for arbitrary $m$) or the Nakagami-$m$ (for integer $m$) fading models, which have a simpler analytical characterization than the FTR model and for which many results are available in closed-form. New expressions for some Laplace-domain statistics of interest are also obtained; these are used to exemplify the practical relevance of this new formulation for performance analysis.
翻译:我们为分配浮动的双射线退缩模型提出了两种不同的配方,这些配方简化了其统计特征并随后用于绩效评估;根据以下观察,获得了FTR模型概率密度函数(PDF)和累积分布函数的新表达方式:FTR退缩分布被描述为任意的美元,作为里西亚阴影值(RS)基本分布,其参数始终不一;而对于特例(美元为整数),FTR退缩模式以基本正方平方的中上美-百万美元分布的有限数量来描述,显示主要统计数据和任何通过FTR退缩模型的PDFS平均值计算的业绩尺度,可以表现为相对于RS(任意美元)或Nakagami-m美元(整数美元)相应统计或性能衡量尺度的一定距离整体分布,其分析特征比FTR模型简单,其许多结果在封闭式分布中都有。