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Rate-splitting multiple access (RSMA) is a general multiple access scheme fordownlink multi-antenna systems embracing both classical spatial divisionmultiple access and more recent non-orthogonal multiple access. Finding alinear precoding strategy that maximizes the sum spectral efficiency of RSMA isa challenging yet significant problem. In this paper, we put forth a novelprecoder design framework that jointly finds the linear precoders for thecommon and private messages for RSMA. Our approach is first to approximate thenon-smooth minimum function part in the sum spectral efficiency of RSMA using aLogSumExp technique. Then, we reformulate the sum spectral efficiencymaximization problem as a form of the log-sum of Rayleigh quotients to convertit into a tractable form. By interpreting the first-order optimality conditionof the reformulated problem as an eigenvector-dependent nonlinear eigenvalueproblem, we reveal that the leading eigenvector of the derived optimalitycondition is a local optimal solution. To find the leading eigenvector, wepropose an algorithm inspired by a power iteration. Simulation results showthat the proposed RSMA transmission strategy provides significant improvementin the sum spectral efficiency compared to the state-of-the-art RSMAtransmission methods.

Rate-Splitting Multiple Access for Downlink MIMO: A Generalized Power Iteration Approach