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arXiv 2208.09615cs.ITcs.ETmath.IT
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可重构智能曲面与容量优化:大系统分析

Reconfigurable Intelligent Surfaces and Capacity Optimization: A Large System Analysis

Aris L. Moustakas, George C. Alexandropoulos, Mérouane Debbah

摘要:

可重构智能表面(RISs),包括大量的低成本和几乎无源的超材料与可调的反射性能,最近已被提出作为一种使能技术的可编程无线传播环境。在本文中,我们提出了渐近封闭形式的表达式的平均值和方差的互信息度量的多天线发射机-接收机对在存在多个RIS,使用统计物理的方法。虽然名义上有效的大系统的限制,我们表明,派生高斯近似的互信息可以是相当准确的,即使是中等大小的天线阵列和元表面。当存在快衰落条件时,上述结果特别有用,这使得瞬时信道估计极具挑战性。我们发现,当接近RIS的信道相关时,例如由于小角度扩展,这对于具有增加的载波频率的无线系统是合理的,通信链路从统计RIS相位优化中显著受益,从而导致令人惊讶地高于几乎不相关的情况的增益。使用我们的新的渐近性质的相关矩阵的冲击和输出信号在RISs,我们可以优化的超表面没有蛮力数值优化。此外,当来自任何RI的期望反射显著偏离几何光学时,可以优化超表面以提供鲁棒的通信链路,而不显著需要它们的最佳放置。

英文摘要:

Reconfigurable Intelligent Surfaces (RISs), comprising large numbers of low-cost and almost passive metamaterials with tunable reflection properties, have been recently proposed as an enabling technology for programmable wireless propagation environments. In this paper, we present asymptotic closed-form expressions for the mean and variance of the mutual information metric for a multi-antenna transmitter-receiver pair in the presence of multiple RISs, using methods from statistical physics. While nominally valid in the large system limit, we show that the derived Gaussian approximation for the mutual information can be quite accurate, even for modest-sized antenna arrays and metasurfaces. The above results are particularly useful when fast-fading conditions are present, which renders instantaneous channel estimation extremely challenging. We find that, when the channel close to an RIS is correlated, for instance due to small angle spread, which is reasonable for wireless systems with increasing carrier frequencies, the communication link benefits significantly from statistical RIS phase optimization, resulting in gains that are surprisingly higher than the nearly uncorrelated case. Using our novel asymptotic properties of the correlation matrices of the impinging and outgoing signals at the RISs, we can optimize the metasurfaces without brute-force numerical optimization. Furthermore, when the desired reflection from any of the RISs departs significantly from geometrical optics, the metasurfaces can be optimized to provide robust communication links, without significant need for their optimal placement.

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