In this work, we study the outage probability (OP) at the destination of an intelligent reflecting surface (IRS) assisted communication system in the presence of phase error due to quantization at the IRS when a) source-destination (SD) link is present and b) SD link is absent. First,an exact expression is derived and then we derive three simple approximations for the OP using the following approaches: (i) uni-variate dimension reduction, (ii) moment matching and,(iii) Kullback-Leibler divergence minimization. The resulting expressions for OP are simple to evaluate and quite tight even in the tail region. The validity of these approximations is demonstrated using extensive Monte Carlo simulations.

翻译：在这项工作中,我们研究了智能反射表面(IRS)辅助通信系统在目的地的失灵概率(OP),由于在IRS存在(a)源-目的地(SD)链接和(b)SD链接存在时,IRS辅助通信系统出现阶段性误差,以及(b)没有SD链接。首先,精确的表达方式得到推导,然后我们采用以下方法为OP得出三个简单的近似值:(一) 单变量尺寸降低,(二) 瞬时匹配,(三) 库尔回背-利差最小化,由此产生的OP的表达方式简单易评估,即使在尾端区域也相当紧凑,这些近似值的有效性通过广泛的蒙特卡洛模拟得到证明。