Abstract
In this paper, a joint beam pattern scheduling and resource allocation design is proposed for multi-satellite Beam Hopping (BH) systems, which optimizes inter-satellite load balancing, beam pattern scheduling and multi-domain resource allocation under non-uniform traffic distribution. The optimization problem is formulated as a multi-dimensional max-min fairness problem, and is decomposed into three subproblems to obtain efficient solutions. Specifically, a two-stage cell-satellite assignment strategy is designed, exploiting both satellite visibility and channel quality to achieve effective inter-satellite load balancing. Next, a traffic- and distance-aware BH pattern scheduling algorithm is introduced, where cells are illuminated based on the real-time residual Traffic Satisfaction Ratio (TSR). To mitigate co-frequency interference, a distance-aware subband assignment algorithm is proposed, where each satellite independently updates its subband-cell mapping using the game-theoretic approach. Finally, to further mitigate the inter-beam interference, a Double-Loop Iterative Optimization (DLIO) algorithm based on alternating optimization is proposed to jointly allocate bandwidth and power for the illuminated beams. Simulation results demonstrate that the proposed method significantly outperforms benchmark schemes in terms of transmission fairness.