The integration of pinching antenna systems with non-orthogonal multiple access (NOMA) has emerged as a promising technique for future 6G applications. This paper is the first to investigate power minimization for NOMA-assisted pinching antenna systems utilizing multiple dielectric waveguides. We formulate a total power minimization problem constrained by each user's minimum data requirements, addressing a classical challenge. To efficiently solve the non-convex optimization problem, we propose an iterative algorithm. Furthermore, we demonstrate that the interference function of this algorithm is standard, ensuring convergence to a unique fixed point. Numerical simulations validate that our developed algorithm converges within a few steps and significantly outperforms benchmark strategies across various data rate requirements. The results also indicate that the minimum transmit power, as a function of the interval between the waveguides, exhibits an approximately oscillatory decay with a negative trend.

翻译：将捏合天线系统与非正交多址接入技术相结合，已成为未来6G应用的一项前景广阔的技术。本文首次研究了利用多个介质波导的NOMA辅助捏合天线系统的功率最小化问题。我们构建了一个以每个用户最低数据需求为约束的总功率最小化问题，以应对这一经典挑战。为高效求解该非凸优化问题，我们提出了一种迭代算法。此外，我们证明了该算法的干扰函数是标准的，从而确保其收敛至唯一不动点。数值仿真验证了我们所开发算法可在数步内收敛，并在多种数据速率需求下显著优于基准策略。结果还表明，作为波导间距函数的最小发射功率，呈现出近似振荡衰减且总体呈下降趋势的变化规律。