I. Introduction
With the advantage of long distance wireless link, satellite communication has been widely used to provide global information services [1]. Recently, it was furthermore recognized as an efficient supplement for beyond 5G or 6G to support users on the sea or in remote areas [2]–[5]. Since the satellite platform is far away from the Earth, signals arrived at user equipments (UEs) would be extremely weak. In this case, multi-beam transmission technology has drawn significant interest [6]. By deploying a phased array antenna on the satellite, multiple signals are enabled to be transmitted simultaneously with high power gain.