论文标题
通过强大的IRS元素激活,IRS辅助通信系统中能源效率的全球优化
Global Optimization of Energy Efficiency in IRS-Aided Communication Systems via Robust IRS-Element Activation
论文作者
论文摘要
在本文中,我们在不完美的通道状态信息(CSI)下研究了使用单恒定发射器和接收器的智能反射表面(IRS)辅助通信系统。更具体地说,我们处理IRS元素的二元二进制(开/关)状态的强大选择,以最大程度地提高最坏情况的能源效率(EE)(EE),并且给定有限的CSI不确定性,同时满足最小信噪比(SNR)。调整了IRS相移,以便仅基于估计的通道最大化理想的SNR(即没有CSI误差)。首先,我们得出了最坏情况下的SNR的封闭形式表达,然后制定了鲁棒(离散的)优化问题。此外,我们设计和分析了一种动态编程(DP)算法,从理论上讲,该算法可以通过多项式复杂性$ O(l \ log l)$来实现全局最大值,其中$ l $是IRS元素的数量。最后,数值模拟证实了理论结果。特别是,所提出的算法在详尽的搜索中显示出相同的性能,并且明显优于基线方案,即所有IRS元素的激活。
In this paper, we study an intelligent reflecting surface (IRS) assisted communication system with single-antenna transmitter and receiver, under imperfect channel state information (CSI). More specifically, we deal with the robust selection of binary (on/off) states of the IRS elements in order to maximize the worst-case energy efficiency (EE), given a bounded CSI uncertainty, while satisfying a minimum signal-to-noise ratio (SNR). The IRS phase shifts are adjusted so as to maximize the ideal SNR (i.e., without CSI error), based only on the estimated channels. First, we derive a closed-form expression of the worst-case SNR, and then formulate the robust (discrete) optimization problem. Moreover, we design and analyze a dynamic programming (DP) algorithm that is theoretically guaranteed to achieve the global maximum with polynomial complexity $O(L \log L)$, where $L$ is the number of IRS elements. Finally, numerical simulations confirm the theoretical results. In particular, the proposed algorithm shows identical performance with the exhaustive search, and significantly outperforms a baseline scheme, namely, the activation of all IRS elements.