Unlike Rayleigh or Nakagami-m fading which has been widely studied in hybrid satellite-terrestrial relay network, the multi-branch Weibull fading which can be an alternative has been less studied due to its high intractability. In the proposed satellite-terrestrial Weibull system, by applying multi-branch optimal transmitting beamforming/receiving combination strategy, an upper bound of signal to noise (SNR) based outage probability (OP) is analyzed compared with the exact OP. Besides, two different methods are used to calculate the intractable Ergodic Capacity. Moreover, the closed-form expressions of the average symbol error rate (ASER) and Effective Capacity are hard to derive. Hence, simplified theoretical results of ASER and Effective Capacity are presented via the proposed upper bound of SNR scheme. Finally, various parameters are verified to illustrate the performance of the proposed model and demonstrate the effectiveness of our method.

与在混合星地中继网络中广泛研究的 Rayleigh 或 Nakagami-m 衰落不同，可以作为替代方案的多分支威布尔衰落由于其高度难以处理而很少被研究。在所提出的星地威布尔系统中，通过应用多分支最优发射波束成形/接收组合策略，将基于信噪比（SNR）的中断概率（OP）的上限与精确的OP进行比较分析。此外，使用两种不同的方法来计算难处理遍历容量。此外，平均符号错误率（ASER）和有效容量的封闭式表达式很难推导出来。因此，ASER 和有效容量的简化理论结果通过所提议的 SNR 方案上限呈现。最后，