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In this paper, the problem of sum-rate maximization for an activereconfigurable intelligent surface (RIS) assisted downlink rate-splittingmultiple access (RSMA) transmission system is studied. In the considered model,the active RIS is deployed to overcome severe power attenuation, which iscaused by the cumulative product of RIS incidence path loss and the reflectionpath loss. Since the active RIS can adjust both the phase and the amplitude ofthe incident signal simultaneously, the RIS control scheme requires delicatedesign to improve RSMA communication performance. To address this issue, asum-rate maximization problem is formulated to jointly optimize the beamformingvectors, rate allocation vector, and RIS precoding matrix. To solve thisnon-convex sum-rate maximization problem, an iterative algorithm based onfractional programming (FP) and quadratic constraint quadratic programming(QCQP) is proposed. In particular, the proposed algorithm firstly decomposesthe original problem into two subproblems, namely, 1) beamforming and rateallocation optimization and 2) active RIS precoding optimization. Thecorresponding variables of the two subproblems are optimized through sequentialconvex approximation (SCA) and block coordinate descent (BCD), respectively.Numerical results show that the proposed active RIS-aided RSMA system couldincrease the sum-rate by up to 45% over the conventional passive RIS-aided RSMAsystem with the same energy consumption.

Sum-Rate Maximization for Active RIS-Aided Downlink RSMA System