The reconfigurable intelligent surface is an emerging technology for wireless communications. We model it as an inhomogeneous boundary of surface impedance, and consider various optimization problems that offer different tradeoffs in terms of performance and implementation complexity. The considered non-convex optimization problems are reformulated as a sequence of approximating linear quadratically constrained or semidefinite programs, which are proved to have a polynomial complexity and to converge monotonically in the objective value.

翻译：可重构智能表面是无线通信领域的一项新兴技术。我们将其建模为表面阻抗的非均匀边界，并考虑在性能与实现复杂度之间提供不同权衡的各种优化问题。所考虑的非凸优化问题被重构为一系列近似线性二次约束或半定规划序列，这些序列被证明具有多项式复杂度，并在目标函数值上单调收敛。