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On the Computation and Approximation of Outage Probability in Satellite Networks With Smart Gateway Diversity

机译:智能网关多样性卫星网络中停用概率的计算与近似

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摘要

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, 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.
机译:极高频率(EHF)频带的利用可以实现卫星网络(SATNET)的高吞吐量。然而,EHF频段的严重雨衰对系统可用性的严格限制。智能网关分集(SGD)被认为是必不可少的,以保证所需的可用性,以合理的成本。在此上下文中,我们研究了一个负载共享的SGD(LS-SGD)架构,该架构最近在文献中提出。对于这种多样性方案,我们使用基于泊松二项式分布的严格概率分析来定义系统中断概率(SOP),并考虑到交通需求以及网关(GW)容量。此外,我们为SOP的精确和近似计算提供了几种方法。如涉及SOP的确切计算,闭合形式表达和基于递归公式的有效算法,在GWS的数量中具有二次最差的复杂性。最后,所提出的近似方法包括众所周知的概率分布(二项式,泊松,正常)和Chernoff绑定。根据数值结果,二项式和泊松分布是迄今为止最准确的近似方法。

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