The integrated sensing and communication (ISAC) problem with general state and channel distributions is investigated. General formulas of the capacity-distortion tradeoff for the ISAC problem under maximal and average distortion constraints are provided. The results cover some existing communication models such as the general point-to-point channel and Gel'fand-Pinsker channel. More details including memoryless states and channels, mixed states and channels, and rate-limited CSI at one side are considered. Numerical results focus on writing-on-dirty paper model and channel with ergodic/non-ergodic fading.

翻译：研究了具有一般状态与信道分布的集成感知与通信问题。针对最大失真约束和平均失真约束下的ISAC问题，给出了容量-失真权衡的通用公式。研究结果覆盖了现有的一些通信模型，如一般点对点信道和Gel'fand-Pinsker信道。进一步考虑了无记忆状态与信道、混合状态与信道以及单侧速率受限信道状态信息等细节。数值结果聚焦于脏纸写入模型以及遍历/非遍历衰落信道。