论文标题

两个$κ-$的产品的新表达

A New Expression for the Product of Two $κ-μ$ Shadowed Random Variables and its Application to Wireless Communication

论文作者

Shekhar, Shashank, Kalyani, Sheetal

论文摘要

在这项工作中,研究了两个独立和非相同分布(I.N.I.D)$κ-μ$阴影随机变量的乘积。我们得出概率密度函数(PDF),累积分布函数(CDF)的串联表达式以及两个(i.n.i.d)$κ-$ $ showed随机变量的乘积的矩生成函数(MGF)。这项工作中的派生配方非常笼统,因为它们结合了大多数典型使用的褪色通道。作为一个应用程序示例,已经为级联的无线系统得出了中断概率(OP),并具有可变增益继电器的继电器辅助通信。还进行了广泛的蒙特卡洛模拟。

In this work, the product of two independent and non-identically distributed (i.n.i.d) $κ- μ$ shadowed random variables is studied. We derive the series expression for the probability density function (PDF), cumulative distribution function (CDF), and moment generating function (MGF) of the product of two (i.n.i.d) $κ- μ$ shadowed random variables. The derived formulation in this work is quite general as they incorporate most of the typically used fading channels. As an application example, outage probability (OP) has been derived for cascaded wireless systems and relay-assisted communications with a variable gain relay. Extensive Monte-Carlo simulations have also been carried out.

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