AI 中文总结
该研究结合MNT与SDR推导可编程散射系统调控部分相干微波的界限，在4个RIS参数化MIMO系统上验证，为相关波域处理提供认证极限。
AI 中文摘要
我们推导了可编程散射系统调控部分相干微波的界限。首先考虑将部分相干输入的功率集中到单个输出端口，结合多端口网络理论（MNT）与半定松弛（SDR）推导了感知原型的界限；随后解决一般相干矩阵合成问题，推导了与架构无关的保真度和有用强度界限、针对感知原型的标量细化，以及完全感知原型的有用强度-保真度帕累托前沿SDR界限。感知原型公式考虑了互耦、损耗、离散可调性和静态散射。我们在4个实验性RIS参数化MIMO系统（含最多100个1位可编程单元）上评估这些界限，使用从测量估计的代理MNT模型。所得界限与可行离散优化结果相比通常较紧；有趣的是，对于相干合成，更简单的界限在某些情况下比完全感知原型的界限更紧，凸显其互补性。我们的结果为波域处理和部分相干微波的采集提供了经认证的极限。
英文摘要
We derive bounds on manipulating partially coherent microwaves with programmable scattering systems. We first consider the concentration of power from a partially coherent input into a single output port and derive a prototype-aware bound by combining multiport network theory (MNT) with semidefinite relaxation (SDR). We then address general coherency-matrix synthesis, deriving architecture-independent bounds on fidelity and useful strength, prototype-specific scalar refinements thereof, and fully prototype-aware SDR bounds on the useful-strength--fidelity Pareto frontier. The prototype-aware formulations account for mutual coupling, loss, discrete tunability, and static scattering. We evaluate the bounds on four experimental RIS-parametrized MIMO systems with up to 100 1-bit-programmable elements, using proxy-MNT models estimated from measurements. The resulting bounds are generally tight compared with feasible discrete-optimization outcomes. Interestingly, for coherency synthesis, the simpler bounds can in some cases be tighter than the fully prototype-aware bounds, highlighting their complementarity. Our results provide certified limits for wave-domain processing and harvesting of partially coherent microwaves.
Comments15 pages with 3 figures
