This letter investigates the performance bounds of sensing and communications (S&C) in perceptive networks, where multiple user equipments (UEs) are deployed with both S&C capabilities whose performances are both closely related to the allocated bandwidth. To this end, we develop a novel bandwidth allocation strategy which optimizes the weighted average range resolution for sensing, while guaranteeing the sum-rate among UEs for wireless communications. We first formulate the bandwidth allocation problem into a convex optimization programming, and then develop a highly efficient algorithm to obtain the optimal solution. Through a deeper analysis of the problem structure, we build an initial understanding and provide insights into the performance tradeoff between S&C, which can be achieved by three specifically tailored bandwidth allocation schemes. Numerical results are given to verify the performance of the proposed method, showing that our bandwidth allocation scheme achieves the pareto boundary of S&C performance, with significantly reduced computational complexity.

中文翻译：

---

实现感知网络中传感和通信的性能界限：最佳带宽分配


这封信研究了感知网络中传感和通信 (S&C) 的性能界限，其中多个用户设备 (UE) 部署了两种 S&C 功能，其性能都与分配的带宽密切相关。为此，我们开发了一种新颖的带宽分配策略，优化传感的加权平均距离分辨率，同时保证无线通信的UE之间的总速率。我们首先将带宽分配问题表述为凸优化规划，然后开发高效算法来获得最优解。通过对问题结构进行更深入的分析，我们对 S&C 之间的性能权衡有了初步的了解并提供了见解，这可以通过三种专门定制的带宽分配方案来实现。数值结果验证了所提出方法的性能，表明我们的带宽分配方案实现了 S&C 性能的帕累托边界，同时显着降低了计算复杂度。