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This paper investigates the optimization of reconfigurable intelligentsurface (RIS) in an integrated sensing and communication (ISAC) system. \red{Tomeet the demand of growing number of devices, power domain non-orthogonalmultiple access (NOMA) is considered. However, traditional NOMA with a largenumber of devices is challenging due to large decoding delay and propagationerror introduced by successive interference cancellation (SIC). Thus, OMA isintegrated into NOMA to support more devices}. We formulate a max-min problemto optimize the sensing beampattern \red{with constraints on communicationrate}, through joint power allocation, active beamforming and RIS phase shiftdesign. To solve the non-convex problem with a non-smooth objective function,we propose a low complexity alternating optimization (AO) algorithm, where aclosed form expression for the intra-cluster power allocation (intra-CPA) isderived, and penalty and successive convex approximation (SCA) methods are usedto optimize the beamforming and phase shift design. Simulation results show theeffectiveness of the proposed algorithm in terms of improving minimumbeampattern gain (MBPG) compared with other baselines. Furthermore, thetrade-off between sensing and communication is analyzed and demonstrated in thesimulation results.

Hybrid NOMA assisted Integrated Sensing and Communication via RIS