We investigate the joint admission control and discrete-phase multicast beamforming design for integrated sensing and communications (ISAC) systems, where sensing and communications functionalities have different hierarchies. Specifically, the ISAC system first allocates resources to the higher-hierarchy functionality and opportunistically uses the remaining resources to support the lower-hierarchy one. This resource allocation problem is a nonconvex mixed-integer nonlinear program (MINLP). We propose an exact mixed-integer linear program (MILP) reformulation, leading to a globally optimal solution. In addition, we implemented three baselines for comparison, which our proposed method outperforms by more than 39%.

翻译：本研究探讨了集成传感与通信（ISAC）系统中联合准入控制与离散相位多播波束成形的设计问题，其中传感与通信功能具有不同的层次结构。具体而言，ISAC系统首先为高层次功能分配资源，并机会性地利用剩余资源支持低层次功能。该资源分配问题属于非凸混合整数非线性规划（MINLP）。我们提出了一种精确的混合整数线性规划（MILP）重构方法，从而获得全局最优解。此外，我们实现了三种基线方法进行比较，所提方法的性能较基线提升超过39%。