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arXiv 2110.01700cs.ITmath.IT
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RI辅助MIMO广播信道的最大可压缩和速率

On the Maximum Achievable Sum-rate of the RIS-aided MIMO Broadcast Channel

Nemanja Stefan Perović, Le-Nam Tran, Marco Di Renzo, Mark F. Flanagan

摘要:

可重构智能表面(RISs)代表了一种新技术,可以塑造无线电波传播,从而提供了各种可能的性能和实现增益。出于这一动机,我们调查的广播信道(BC)中存在的RIS的可实现的和速率优化。我们解决这个问题,利用高斯多输入多输出(MIMO)BC和多址接入信道(MAC)之间的著名的对偶,我们相应地推导出三个算法,优化用户的协方差矩阵和RIS相移的双MAC。用户的协方差矩阵通过具有块坐标最大化(block coordinate maximization,简称CKM)的对偶分解方法或通过基于梯度的方法来优化。RIS相移或者通过使用封闭形式的表达式顺序地优化,或者通过使用基于梯度的方法并行地计算。我们提出了一个计算复杂性分析所提出的算法。仿真结果表明,所提出的算法往往收敛到相同的可实现的和速率的整体,但可能会产生不同的和速率性能的某些特定情况下,由于所考虑的问题的非凸性。此外,基于梯度的优化方法通常更省时。此外,我们证明了所提出的算法可以提供一个显着的增益,在多个RIS辅助的RIS辅助BC和增益取决于RIS的位置。

英文摘要:

Reconfigurable intelligent surfaces (RISs) represent a new technology that can shape the radio wave propagation and thus offers a great variety of possible performance and implementation gains. Motivated by this, we investigate the achievable sum-rate optimization in a broadcast channel (BC) in the presence of RISs. We solve this problem by exploiting the well-known duality between the Gaussian multiple-input multiple-output (MIMO) BC and the multiple-access channel (MAC), and we correspondingly derive three algorithms which optimize the users' covariance matrices and the RIS phase shifts in the dual MAC. The users' covariance matrices are optimized by a dual decomposition method with block coordinate maximization (BCM), or by a gradient-based method. The RIS phase shifts are either optimized sequentially by using a closed-form expression, or are computed in parallel by using a gradient-based method. We present a computational complexity analysis for the proposed algorithms. Simulation results show that the proposed algorithms tend to converge to the same achievable sum-rate overall, but may produce different sum-rate performance for some specific situations, due to the non-convexity of the considered problem. Also, the gradient-based optimization methods are generally more time efficient. In addition, we demonstrate that the proposed algorithms can provide a significant gain in the RIS-assisted BC assisted by multiple RISs and that the gain depends on the placement of the RISs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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