In this paper, we investigate the resource allocation for multi-dielectric waveguide-assisted broadcast systems, where each waveguide employs multiple pinching antennas (PAs), aiming to maximize the minimum achievable rate among multiple users. To capture realistic propagation effects, we propose a novel generalized frequency-dependent power attenuation model for dielectric waveguides PA systems. We jointly optimize waveguide beamforming, PA power ratio allocation, and antenna positions via a block coordinate descent scheme that capitalizes on majorization minimization and penalty methods, circumventing the inherent non-convexity of the formulated optimization problem and obtaining a computationally efficient sub-optimal solution. Simulation results demonstrate that our proposed framework substantially outperforms both conventional antenna systems and single PA per waveguide configurations, clearly illustrating the intricate trade-offs between waveguide propagation loss, path loss, and resource allocation among multiple PAs.

翻译：本文研究了多介质波导辅助广播系统中的资源分配问题，其中每个波导采用多个夹持天线（PA），旨在最大化多个用户间的最小可达速率。为捕捉实际传播效应，我们提出了一种新颖的介质波导PA系统广义频率相关功率衰减模型。通过块坐标下降方案，我们联合优化了波导波束成形、PA功率比分配和天线位置，该方案利用主化最小化和惩罚方法，规避了所构建优化问题固有的非凸性，并获得了计算高效的次优解。仿真结果表明，我们提出的框架显著优于传统天线系统及每个波导单PA配置，清晰阐明了波导传播损耗、路径损耗与多个PA间资源分配的复杂权衡关系。