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arXiv 2302.09353cs.ITeess.SPmath.IT
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一种基于部分CSI的有源RIS辅助通信传输设计框架

A Framework for Transmission Design for Active RIS-Aided Communication with Partial CSI

Gui Zhou, Cunhua Pan, Hong Ren, Dongfang Xu, Zaichen Zhang, Jiangzhou Wang, Robert Schober

摘要:

主动可重构智能表面(RIS)最近被提出来补偿传统的被动RIS辅助系统的严重乘性衰落效应。有源RIS的每个反射元件由放大器辅助,使得入射信号可以被反射和放大,而不是像在无源RIS辅助系统中那样仅被反射。这项工作解决了实际的挑战,一方面,在有源RIS辅助系统中,由于在有源RIS处缺乏信号处理能力,无法获得RIS辅助信道的完美的个体CSI,但是另一方面,需要该CSI来计算收发器设计所需的预期系统数据率和RIS发射功率。为了解决这个问题,我们首先推导出封闭形式的表达式的平均可达速率和平均RIS发射功率的基础上的部分CSI的RIS辅助信道。然后,我们制定了一个平均可实现的速率最大化问题,共同优化在基站(BS)和RIS的主动波束成形。这个问题,然后解决使用优化-最小化(MM)算法框架,并且,对于每次迭代,半封闭形式的解决方案的BS和RIS波束形成的基础上的Karush-Kuhn-Tucker(KKT)条件。为了保证每个用户的服务质量(QoS),我们进一步提出了速率中断约束波束形成问题,并利用Bernstein型不等式(BTI)和半定松弛(SDR)技术求解该问题。数值结果表明,所提出的算法可以有效地克服主动RIS辅助无线系统中不完美CSI所带来的挑战。

英文摘要:

Active reconfigurable intelligent surfaces (RISs) have recently been proposed to compensate for the severe multiplicative fading effect of conventional passive RIS-aided systems. Each reflecting element of active RISs is assisted by an amplifier such that the incident signal can be reflected and amplified instead of only being reflected as in passive RIS-aided systems. This work addresses the practical challenge that, on the one hand, in active RIS-aided systems the perfect individual CSI of the RIS-aided channels cannot be acquired due to the lack of signal processing power at the active RISs, but, on the other hand, this CSI is required to calculate the expected system data rate and RIS transmit power needed for transceiver design. To address this issue, we first derive closed-form expressions for the average achievable rate and the average RIS transmit power based on partial CSI of the RIS-aided channels. Then, we formulate an average achievable rate maximization problem for jointly optimizing the active beamforming at both the base station (BS) and the RIS. This problem is then tackled using the majorization--minimization (MM) algorithm framework, and, for each iteration, semi-closed-form solutions for the BS and RIS beamforming are derived based on the Karush-Kuhn-Tucker (KKT) conditions. To ensure the quality of service (QoS) of each user, we further formulate a rate outage constrained beamforming problem, which is solved using the Bernstein-Type inequality (BTI) and semidefinite relaxation (SDR) techniques. Numerical results show that the proposed algorithms can efficiently overcome the challenges imposed by imperfect CSI in active RIS-aided wireless systems.

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