论文标题
关于Málaga-$ \ Mathcal {M} $随机变量和应用程序总和的分布
On the Distribution of the Sum of Málaga-$\mathcal{M}$ Random Variables and Applications
论文作者
论文摘要
在本文中，提出了针对Málaga-$ \ MATHCAL {M} $随机变量带有指向误差（MRVS）的非常准确的近似方法。特别是，通过基于力矩的方法，FOX的$ H $功能近似MRV的概率密度函数。然后，提供了$ n $ mrvs的总和的各个瞬间函数，基于该函数的平均符号错误率，用于评估$ n $ branch最大值比率组合（MRC）接收器的平均符号错误率。检索结果表明，提出的近似结果与精确的模拟结果非常匹配。此外，结果表明，可实现的多样性顺序随着MRC多样性分支的数量而增加。
In this paper, a very accurate approximation method for the statistics of the sum of Málaga-$\mathcal{M}$ random variates with pointing error (MRVs) is proposed. In particular, the probability density function of MRV is approximated by a Fox's $H$-function through the moment-based approach. Then, the respective moment-generating function of the sum of $N$ MRVs is provided, based on which the average symbol error rate is evaluated for an $N $-branch maximal-ratio combining (MRC) receiver. The retrieved results show that the proposed approximate results match accurately with the exact simulated ones. Additionally, the results show that the achievable diversity order increases as a function of the number of MRC diversity branches.
