AI 中文总结
研究在双向K用户干扰信道中用有源RIS实现全DoF的可行性，利用高维凸几何工具得出所需反射元件数量的缩放阈值，还扩展分析到相关功率权衡场景并确定阈值，仿真验证了理论分析。
AI 中文摘要
干扰从根本上限制了密集无线网络的性能，可重构智能表面（RIS）最近已成为一种在自由度（DoF）意义上实现无干扰传输的有前途的手段。本文研究了通过采用有源RIS在双向K用户干扰信道（一种典型的干扰受限设置）中实现全DoF的可行性。与无源RIS不同，有源RIS受到每个元件增益约束和总反射功率约束，这使得空中干扰消除等同于求解具有耦合非线性约束的受限随机线性系统。通过利用高维凸几何工具，我们得出了全DoF传输所需反射元件（RE）数量的紧密缩放阈值。我们进一步将分析扩展到每个RE在总功率预算下产生电路功耗的场景，从而导致RIS发射功率与电路功率之间的基本权衡。对于此设置，我们确定了实现无干扰传输所需的总功率和相应RE数量的阈值。仿真结果验证了理论分析。
英文摘要
Interference fundamentally limits the performance of dense wireless networks, and reconfigurable intelligent surfaces (RIS) have recently emerged as a promising means of enabling interference-free transmission in the Degrees-of-Freedom (DoF) sense. This paper investigates the feasibility of achieving full DoF in a two-way K-user interference channel-a canonical interference-limited setting-by employing an active RIS. Unlike its passive counterpart, an active RIS is subject to both per-element gain constraints and a total reflection-power constraint, which renders over-the-air interference nulling equivalent to solving a constrained random linear system with coupled nonlinear constraints. By leveraging tools from high-dimensional convex geometry, we derive a tight scaling threshold on the required number of reflecting elements (REs) for full-DoF transmission. We further extend the analysis to scenarios where each RE incurs circuit power consumption under a total power budget, leading to a fundamental tradeoff between RIS transmit power and circuit power. For this setting, we establish the thresholds for both the total power and the corresponding number of REs required to achieve interference-free transmission. Simulation results validate the theoretical analysis.
