Generalized Modeling and Fundamental Limits for Multiple-Access Integrated Sensing and Communication Systems

In this paper, we propose a generalized state-dependent channel modeling and present fundamental limits for multiple-access integrated sensing and communication (ISAC) systems. The model proposed extends the latest studies by Kobayashi et al. and Ahmadipour et al., which explicitly accounts for more practical scenarios with correlated sensing and channel states, and imperfect channel state information at the receiver (CSIR). For the model considered, we devise an achievable scheme that combines message cooperation and joint compression of past transmitted codeword and echo signals (a form of strictly causal feedback) via distributed Wyner-Ziv coding at each user to realize "simultaneously cooperative communication and sensing". The corresponding achievable rate-distortion region is derived and a numerical example is constructed to illustrate the potential gain of the proposed scheme. It is found that the compressed information sent is not only useful for further enhancing communication (particularly in the case without CSIR), but also helpful in improving the sensing performance of the transmitters.