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This work focuses on the use of reconfigurable intelligent surface (RIS) indual-function radar-communication (DFRC) systems to improve communicationcapacity and sensing precision, and enhance coverage for both functions. Incontrast to most of the existing RIS aided DFRC works where the RIS is modeledas a diagonal phase shift matrix and can only reflect signals to half space, wepropose a novel beyond diagonal RIS (BD-RIS) aided DFRC system. Specifically,the proposed BD-RIS supports the hybrid reflecting and transmitting mode, andis compatible with flexible architectures, enabling the system to realizefull-space coverage and to achieve enhanced performance. To achieve theexpected benefits, we jointly optimize the transmit waveform, the BD-RISmatrices, and sensing receive filters, by maximizing the minimumsignal-to-clutter-plus-noise ratio for fair target detection, subject to theconstraints of the communication quality of service, different BD-RISarchitectures and power budget. To solve the non-convex and non-smooth max-minproblem, a general solution based on the alternating direction method ofmultipliers is provided. Numerical simulations validate the efficacy of theproposed algorithm and show the superiority of the BD-RIS aided DFRC system interms of both communication and sensing compared to conventional RIS aidedDFRC.

A Dual-Function Radar-Communication System Empowered by Beyond Diagonal Reconfigurable Intelligent Surface