Globally Optimal Beamforming for Rate Splitting Multiple Access
Bho Matthiesen, Yijie Mao, Petar Popovski, and Bruno Clerckx

TL;DR
This paper introduces a globally optimal beamforming algorithm for rate splitting multiple access in MISO downlink channels, improving convergence speed and stability over existing methods.
Contribution
It presents a novel algorithm that jointly optimizes multicast and unicast beamforming, outperforming current algorithms in stability and convergence speed.
Findings
Outperforms state-of-the-art algorithms in stability
Converges nearly twice as fast
Effective for both multicast and unicast scenarios
Abstract
We consider globally optimal precoder design for rate splitting multiple access in Gaussian multiple-input single-output downlink channels with respect to weighted sum rate and energy efficiency maximization. The proposed algorithm solves an instance of the joint multicast and unicast beamforming problem and includes multicast- and unicast-only beamforming as special cases. Numerical results show that it outperforms state-of-the-art algorithms in terms of numerical stability and converges almost twice as fast.
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