ISAC系统中资源分配的检测感知速率--CRB表征
Detection-Aware Rate--CRB Characterization for Resource Allocation in ISAC Systems
- York University（约克大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
针对ISAC系统，研究检测感知的速率--CRB表征，提出DA和DTE两种约束公式，揭示仅CRB分配会掩盖检测可靠性不足，并显著影响功率-带宽分配与通信-感知权衡。
AI中文摘要：
集成感知与通信（ISAC）性能分析通常采用Cramér--Rao界（CRB）作为感知指标。CRB在目标存在模型下为估计误差方差提供下界，但并未刻画接收机通常用于验证回波相对于噪声和杂波的能量检测的可靠性。考虑单用户、单目标联合功率-带宽分配问题中的距离CRB，我们建立了在给定CRB要求下速率最优分配无法达到给定检测概率的条件。随后，我们在两个层面开发了检测约束的速率--CRB表征：1）检测感知（DA）公式，将CRB和检测概率视为并行要求；2）检测后估计（DTE）公式，使用定义在跨越能量阈值的帧上的\textit{检测门控CRB}。我们分析了由此导致的最优速率和可行功率-带宽分配的变化，并进一步展示了在DTE下检测概率和条件估计精度如何共同决定下游跟踪性能。随后，在仅CRB、DA和DTE表征下制定了多用户、多目标资源分配。结果表明，仅CRB分配可能掩盖检测可靠性不足，而考虑检测和接收机架构会显著改变功率-带宽分配以及通信-感知权衡。
英文摘要：
Integrated sensing and communication (ISAC) performance analysis commonly employs the Cramér--Rao bound (CRB) as the sensing metric. The CRB lower-bounds estimation-error variance under a target-present model but does not characterize the reliability of the energy detection that receivers often use to validate returns against noise and clutter. Considering the range CRB in a single-user, single-target joint power--bandwidth allocation problem, we establish the conditions under which a rate-optimal allocation at a given CRB requirement fails to achieve a given detection probability. We then develop detection-constrained rate--CRB characterizations at two levels: 1) a detection-aware (DA) formulation that treats the CRB and detection probability as parallel requirements, and 2) a detect--then--estimate (DTE) formulation using a \textit{detection-gated CRB} defined on frames that cross an energy threshold. We analyze the resulting changes in the optimal rate and feasible power--bandwidth allocations, and for DTE further show how detection probability and conditional estimation accuracy jointly determine downstream tracking performance. Multi-user, multi-target resource allocation is then formulated under CRB-only, DA, and DTE characterizations. The results show that CRB-only allocation can conceal inadequate detection reliability, and that accounting for detection and receiver architecture materially changes the power--bandwidth allocation and the communication--sensing tradeoff.
