The utilization of extremely high frequency (EHF) bands can achieve very high throughput in satellite networks (SatNets). Nevertheless, the severe rain attenuation at EHF bands imposes strict limitations on the system availability. Smart gateway diversity (SGD) is considered indispensable in order to guarantee the required availability with reasonable cost. In this context, we examine a load-sharing SGD (LS-SGD) architecture, which has been recently proposed in the literature. For this diversity scheme, we define the system outage probability (SOP) using a rigorous probabilistic analysis based on the Poisson binomial distribution (PBD), and taking into consideration the traffic demand as well as the gateway (GW) capacity. Furthermore, we provide several methods for the exact and approximate calculation of SOP. As concerns the exact computation of SOP, a closed-form expression and an efficient algorithm based on a recursive formula are given, both with quadratic worst-case complexity in the number of GWs. Finally, the proposed approximation methods include well-known probability distributions (binomial, Poisson, normal) and a Chernoff bound. According to the numerical results, binomial and Poisson distributions are by far the most accurate approximation methods.

翻译：利用极高频(EHF)波段可在卫星网络(SatNets)中达到极高的输送量。然而,在EHF波段的暴雨降降对系统的可用性施加严格的限制。智能网关多样性(SGD)被认为是以合理成本保证所需供应量所不可或缺的。在这方面,我们研究了文献最近提出的负担共享SGD(LS-SGD)结构。对于这一多样性计划,我们利用基于Poisson binomial分布(PBDD)的严格概率分析,并考虑到交通需求和网关能力,界定了系统溢出概率(SOP)。此外,我们为SOP的精确和近似计算提供了几种方法。关于SOP的精确计算、封闭式表达和基于递归公式的有效算,两者均具有四分式最复杂的GWs数量。最后,拟议的近似方法包括众所周知的概率分布(binomial、Poisson、正常)和最精确的Cherniomiso分配方法。从远处得出了数字结果。