论文标题
关于集成感测和通信的性能增益：子空间相关的观点
On the Performance Gain of Integrated Sensing and Communications: A Subspace Correlation Perspective
论文作者
论文摘要
在本文中，我们从雷达传感和通信（S＆C）之间的通道相关性的角度（即ISAC子空间相关性）阐明了综合传感和通信（ISAC）的性能增益。首先，我们考虑了一个多输入的多输出（MIMO）ISAC系统，并揭示了最佳ISAC信号位于传感通道的传输转向向量和通信通道的右奇异矩阵所跨的子空间中。通过利用此结果，我们研究了一个具有单个目标和单个Antenna通信用户的基本ISAC方案，并得出了最佳波形协方差矩阵，以最大程度地减少给定通信率约束下的估计误差。为了量化ISAC系统的集成增益，我们定义了子空间“相关系数”，以表征S＆C通道之间的耦合效应。最后，提供数值结果以验证所提出的方法的有效性。
In this paper, we shed light on the performance gain of integrated sensing and communications (ISAC) from the perspective of channel correlations between radar sensing and communication (S&C), namely ISAC subspace correlation. To begin with, we consider a multi-input multi-output (MIMO) ISAC system and reveal that the optimal ISAC signal is in the subspace spanned by the transmitted steering vectors of the sensing channel and the right singular matrix of the communication channel. By leveraging this result, we study a basic ISAC scenario with a single target and a single-antenna communication user, and derive the optimal waveform covariance matrix for minimizing the estimation error under a given communication rate constraint. To quantify the integration gain of ISAC systems, we define the subspace "correlation coefficient" to characterize the coupling effect between S&C channels. Finally, numerical results are provided to validate the effectiveness of the proposed approaches.
