This paper considers a cell-free integrated sensing and communication (ISAC) MIMO system, where distributed MIMO access points are jointly serving the communication users and sensing the targets. For this setup, we first develop two baseline approaches that separately design the sensing and communication beamforming vectors, namely communicationprioritized sensing beamforming and sensing-prioritized communication beamforming. Then, we consider the joint sensing and communication (JSC) beamforming design and derive the optimal structure of these JSC beamforming vectors based on a max-min fairness formulation. The results show that the developed JSC beamforming is capable of achieving nearly the same communication signal-to-interference-plus-noise ratio (SINR) that of the communication-prioritized sensing beamforming solutions with almost the same sensing SNR of the sensingprioritized communication beamforming approaches, yielding a promising strategy for cell-free ISAC MIMO systems.
I. INTRODUCTIONThe integration of sensing functions into the communication systems is envisioned to be an integral part of the 6G and future communication systems [1], [2]. If the hardware and wireless resources are efficiently shared, this will enable the communication infrastructure to have sensing capabilities at minimal cost and open the sensing frequency bands for wireless communication operation. Achieving that, however, requires the careful design of the various aspects of the integrated sensing and communication (ISAC) systems, including the transmission waveform, the post-processing of the received signals, and the MIMO beamforming. While these problems have recently attracted increasing research interest, the prior work has mainly focused on the single ISAC basestation case. In practice, however, multiple ISAC basestations will operate in the same geographical region, frequency band, and time, causing interference on each other for both the sensing and communication functions. This motivates the coordination between these distributed nodes to improve both communication and sensing performance. This ultimately leads to cell-free ISAC MIMO systems, where distributed ISAC basestations jointly serve the same set of communication users and sense the same targets. With this motivation, this paper investigates the joint sensing and communication beamforming design of these cell-free ISAC MIMO systems.Prior work has mainly focused on the single-node case and investigated the design of the joint-sensing and communication (JSC) waveform [3], post-processing [4], and beamforming [5].