Abstract
This letter investigates robust beamforming for multi-beam satellite communications in face of a phase error of channel state information. From the perspective of a practical system, we first formulate a sum rate maximization problem under the outage probability constraint of each user and the power consumption constraint of each individual feed. To handle the challenging problem, we characterize the Pareto frontier of the outage constrained achievable rate region based on a rate-profile method. In particular, a conservative approximation of the probabilistic constraint is achieved by means of the Taylor series expansion and the large deviation inequality. Numerical results validate the effectiveness and superiority of our proposed scheme compared to the existing approaches and give an insight into the impact of on-board payloads on robust beamforming.
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