A memoryless state-dependent multiple access channel is considered to model an integrated sensing and communication system, where two transmitters wish to convey messages to a receiver while simultaneously estimating the sensing state sequences through echo signals. In particular, the sensing states are assumed to be correlated with the channel state, and the receiver has imperfect channel state information. In this setup, improved inner and outer bounds for capacity-distortion region are derived. The inner bound is based on an achievable scheme that combines message cooperation and joint compression via distributed Wyner-Ziv coding at each transmitter, resulting in unified cooperative communication and sensing. The outer bound is based on the ideas of dependence balance for communication rate and rate-limited constraints on sensing distortion. The proposed inner and outer bounds are proved to improve the state-of-the-art bounds. Finally, numerical examples are provided to demonstrate that our new inner and outer bounds strictly improve the existing results.

翻译：考虑一个无记忆状态依赖的多址接入信道，用于建模集成感知与通信系统：两个发射机在通过回波信号同时估计感知状态序列的过程中，向接收机传递消息。特别地，假设感知状态与信道状态相关，且接收机具有非完美信道状态信息。在此框架下，推导了容量-失真区域的改进内界和外界。内界基于一种可实现方案，该方案结合了消息协作以及各发射机通过分布式Wyner-Ziv编码实现的联合压缩，从而形成统一的协作通信与感知机制。外界基于通信速率的依赖平衡思想以及感知失真的速率受限约束。所提出的内界和外界被证明优于现有最优界限。最后，通过数值实例表明，新提出的内界和外界在严格性上显著优于已有结果。