Integrated sensing and communications (ISAC) has been recognized as a key component in the envisioned 6G communication systems. Understanding the fundamental performance tradeoff between sensing and communication functionalities is essential for designing practical cost-efficient ISAC systems. In this paper, we aim for augmenting the current understanding of the deterministic-random tradeoff (DRT) between sensing and communication, by analyzing the sensing-optimal operating point of the fundamental capacity-distortion region. We show that the DRT exists for generic sensing performance metrics that are in general not convex/concave in the ISAC waveform. Especially, we elaborate on a representative non-convex performance metric, namely the detection probability for target detection tasks.

翻译：集成感知与通信已被视为未来6G通信系统中的关键组成部分。理解感知与通信功能之间的基本性能权衡对于设计实用且经济高效的集成感知与通信系统至关重要。本文旨在通过分析基本容量-失真区域的感知最优工作点，深化对感知与通信之间确定-随机权衡的现有理解。我们证明了对于通用的感知性能指标而言，确定-随机权衡普遍存在，且这些性能指标通常不表现为集成感知与通信波形的凸函数或凹函数。特别地，我们详细阐述了一种具有代表性的非凸性能指标，即目标检测任务中的检测概率。