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We consider a cooperative non-orthogonal multiple access system with radiofrequency energy harvesting, in which a user with good channel harvests energyfrom its received signal and serves as a decode-and-forward relay for enhancingthe performance of a user with poor channel. We here aim at maximizing theweighted sum rate of the system by optimizing the power allocation coefficientused at the source and the power splitting coefficient used at the user withgood channel. By exploiting the specific structure of the considered problem,we propose a low-complexity one-dimensional search algorithm which can provideoptimal solution to the problem. As a benchmark comparison, we derive analyticexpressions and simple high signal-to-noise ratio (SNR) approximations of theergodic rates achieved at two users and their weighted sum with fixed values ofthe power allocation and the power splitting coefficients, from which thescaling of the weighted sum in the high SNR region is revealed. Finally, weprovided numerical results to demonstrate the validity of the optimized scheme.Index Terms-Cooperative NOMA, RF-energy harvesting, weighted sum rate analysisand optimization.

Analysis and Optimization for Weighted Sum Rate in Energy Harvesting Cooperative NOMA Systems