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This letter investigates a wireless communication system deployingdistributed reconfigurable intelligent surfaces (RISs). Existing works haveassumed that perfect timing synchronization is available among all thecooperative RISs. For practical considerations, we first study cooperativereflection design for multi-RIS-aided communication systems taking into accounttiming synchronization errors. We aim to minimize the mean-squared error of therecovered data in the presence of timing offsets subject to the unit modulusconstraints imposed on the phase shifts of the RISs. In order to handle thissophisticated nonconvex problem, we develop a computationally-efficientalgorithm based on the majorization-minimization framework where the RIS phaseshift matrices and the timing offset equalizer are respectively developed in asemi-closed form and a closed form. Numerical examples validate the improvedperformance of our proposed design compared with various schemes.

Cooperative Reflection Design with Timing Offsets in Distributed Multi-RIS Communications