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Resource allocation for multibeam MISO satellite systems: Sum rate versus proportional fair optimization

Resource allocation and interference management for a multibeam multiple input and single output (MISO) satellite communication system are very important to maintain reliable communications and efficient utilization of radio resources. In this paper, we consider two different resource allocation problems which aim at maximizing the system sum rate and the sum utility of all users, respectively. By choosing the utility function to be a logarithmic function of the user rate, we can achieve the so-called proportional fairness for the users. We propose two different resource allocation algorithms to solve the considered problems, namely the max sum rate algorithm (MSRA) and max utility algorithm (MUA), respectively. Both algorithms are based on decomposed beamforming and user scheduling designs where the beamforming design is based on the advanced weighted minimum mean squared error (WMMSE) approach and scheduling schemes are proposed to solve the two resource allocation problems. Through numerical studies, we show that the proposed MSRA achieves the rate performance very close to that attained by the exhaustive search algorithm and the MSRA significantly outperforms the MUA in terms of system sum rate. However, the MUA leads to better fairness than the MSRA and the fairness indices achieved by both algorithms tend to be closer to each other when the number of users per beam becomes larger.