We study the information-theoretic limits of joint communication and sensing when the sensing task is modeled as the estimation of a discrete channel state fixed during the transmission of an entire codeword. This setting captures scenarios in which the time scale over which sensing happens is significantly slower than the time scale over which symbol transmission occurs. The tradeoff between communication and sensing then takes the form of a tradeoff region between the rate of reliable communication and the state detection-error exponent. We investigate such tradeoffs for both mono-static and bi-static scenarios, in which the sensing task is performed at the transmitter or receiver, respectively. In the mono-static case, we develop an exact characterization of the tradeoff in open-loop, when the sensing is not used to assist the communication. We also show the strict improvement brought by a closed-loop operation, in which the sensing informs the communication. In the bi-static case, we develop an achievable tradeoff region that highlights the fundamentally different nature of the bi-static scenario. Specifically, the rate of communication plays a key role in the characterization of the tradeoff and we show how joint strategies, which simultaneously estimate message and state, outperform sequential strategies, which only estimate the state after decoding the transmitted message.
翻译:我们研究联合通信和感知的信息理论极限,当感知任务建模时,我们研究联合通信和感知的信息理论极限,将这种偏差作为估计一个在传输整个编码时固定的离散频道状态的模型。这种设定可以捕捉在感测发生时间比符号传输的时间尺度要慢得多的情景。通信和感知之间的权衡随后采取可靠通讯速度与国家检测-感官速度之间的权衡区域的形式。我们调查单静态和双静态情景之间的这种权衡,在这种假设中,感测任务分别由发报机或接收机执行。在单一静态的情况下,我们精确地描述在开放环形交易中发生的交易的特征,而没有使用感测来帮助通信。我们还展示了闭环操作带来的严格改进,而感测为通信提供依据。在双静态案例中,我们开发了一个可实现的偏差区域,强调两静态情景的根本性质。具体地说,通信速度在对交易或接收器的定性中起着关键作用。在单静态情况下,我们在不使用感测时,对开放环流交易进行精确的权衡,我们同时显示如何测测测测测测测测测测测测测。在连续电之后的策略。