Outage Constrained Design for RIS-Assisted Integrated Sensing and Communication Systems

In practice, obtaining perfect channel state information (CSI) is challenging. This letter studies a reconfigurable intelligent surface (RIS)-aided integrated sensing and communication (ISAC) framework under imperfect CSI conditions. Specifically, in the statistical CSI error model, while ensuring the users’ rate outage probability (OP) constraints and the minimum beampattern gain for radar targets, the total transmit power is minimized. To solve this non-convex problem, we rephrase the rate OP constraint through Bernstein inequality and suggest an alternating optimization algorithm. The numerical results validate the algorithm’s effectiveness and reveal the influence of channel errors on system performance.