Chernoff Bound and Saddlepoint Approximation for Outage Probability in IRS-Assisted Wireless Systems

Tianxiong Wang, Gaojie Chen, J. Coon, Mihai-Alin Badiu
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引用次数: 5

Abstract

We analyze the outage probability of an intelligent reflecting surface (IRS)-assisted communication network. An upper bound on the outage probability is formulated based on the Chernoff inequality. Furthermore, through an exact asymptotic (a large number of reflecting elements) analysis based on a saddlepoint approximation, we derive closed-form expressions of the outage probability for systems with and without a direct link and obtain the corresponding diversity orders. Simulation results corroborate our theoretical analysis and show the inaccuracies inherent in using the central limit theorem (CLT) to analyze system performance. Our analysis is accurate even for a small number of IRS elements in the high signal-to-noise ratio (SNR) regime.
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irs辅助无线系统中断概率的Chernoff界和Saddlepoint逼近
分析了智能反射面(IRS)辅助通信网络的中断概率。基于Chernoff不等式,给出了中断概率的上界。进一步,通过基于鞍点近似的精确渐近(大量反射元素)分析,导出了有和无直接连接系统的中断概率的封闭表达式,并得到了相应的分集阶数。仿真结果证实了我们的理论分析,并表明使用中心极限定理(CLT)分析系统性能固有的不准确性。即使在高信噪比(SNR)条件下,我们的分析对于少量IRS元件也是准确的。
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