A communication setup is considered where a single transmitter wishes to convey messages to one or two receivers and simultaneously estimate the states of the receivers through the backscattered signals of the emitted waveform. The scenario at hand is motivated by joint radar and communication, which aims to co-design radar sensing and communication over shared spectrum and hardware. In this paper, we model the communication channel as a simple memoryless channel with independent and identically distributed (i.i.d.) time-varying state sequences and we model the backscattered signals by (strictly causal) generalized feedback. For single-receiver systems of this form, we fully characterize the capacity-distortion tradeoff, defined as the largest rate at which a message can reliably be conveyed to the receiver while simultaneously allowing the transmitter to sense the state sequence with a given allowed distortion. Our results show a tradeoff between the achievable rates and distortions, and that this tradeoff only stems from a common choice of the input distribution (the waveform) but not from other properties of the utilized codes. To better illustrate the capacity-distortion tradeoff, we propose a numerical method to compute the optimal inputs (waveforms) that achieve the desired tradeoff. For two-receiver systems with two states, we characterize the capacity-distortion tradeoff region of physically degraded broadcast channels (BC) as a rather straightforward extension of the single receiver case. Here, a tradeoff not only arises between sensing and communication performances but also between the various rates and the distortions of the different states. Similarly to the single-receiver case, the optimal co-design scheme exploits the generalized feedback signals only for sensing but not for improving communication performance. This is different for general two-receiver BCs, where optimal co-design schemes exploit generalized feedback also to improve capacity. Howeve...

中文翻译：

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永磁电机短路电流在线估算


考虑一种通信设置，其中单个发射器希望将消息传送到一个或两个接收器，并通过发射波形的反向散射信号同时估计接收器的状态。目前的场景是由联合雷达和通信推动的，旨在通过共享频谱和硬件共同设计雷达传感和通信。在本文中，我们将通信信道建模为具有独立同分布（iid）时变状态序列的简单无记忆信道，并通过（严格因果）广义反馈对反向散射信号进行建模。对于这种形式的单接收器系统，我们充分描述了容量失真权衡的特征，定义为可以将消息可靠地传送到接收器同时允许发射器感测具有给定允许失真的状态序列的最大速率。我们的结果显示了可实现的速率和失真之间的权衡，并且这种权衡仅源于输入分布（波形）的共同选择，而不源于所用代码的其他属性。为了更好地说明容量失真权衡，我们提出了一种数值方法来计算实现所需权衡的最佳输入（波形）。对于具有两种状态的双接收器系统，我们将物理退化的广播信道（BC）的容量失真权衡区域描述为单接收器情况的相当简单的扩展。这里，不仅在传感和通信性能之间出现折衷，而且在不同速率和不同状态的失真之间也出现折衷。 与单接收器情况类似，最优协同设计方案仅利用广义反馈信号进行传感，而不是提高通信性能。这与一般的双接收器 BC 不同，其中最佳协同设计方案也利用广义反馈来提高容量。然而...