We study a joint communication and sensing setting comprising a transmitter, a receiver, and a sensor, all equipped with multiple antennas. The transmitter sends an encoded signal over the channel with the dual purpose of communicating an information message to the receiver, and enabling the sensor to estimate a target parameter vector by generating back-scattered signals. We assume that the transmitter and sensor are co-located, or fully connected, giving the latter access to the transmitted signal. The target parameter vector is randomly drawn from a continuous distribution, yet remains fixed throughout the transmission block. We establish the fundamental performance trade-off between the communication and sensing tasks, captured in terms of a capacity-MSE function. In doing so, we identify optimal coding schemes for this multi-antenna joint communication and sensing setting. Moreover, we particularize our result to two practically-inspired scenarios where we showcase optimal schemes and trade-offs.

翻译：本文研究一种包含发射机、接收机和传感器的联合通信与感知场景，所有设备均配备多天线。发射机通过信道发送编码信号，其双重目的是：向接收机传递信息消息，同时使传感器能够通过生成反向散射信号来估计目标参数向量。我们假设发射机与传感器共址或完全连接，使得传感器能够获取发射信号。目标参数向量从连续分布中随机抽取，但在整个传输块期间保持固定。我们建立了通信与感知任务之间的基本性能权衡关系，该关系通过容量-均方误差函数进行表征。在此过程中，我们针对该多天线联合通信与感知场景提出了最优编码方案。此外，我们将研究结果具体应用于两种受实际启发的场景，并展示了最优方案与性能权衡。