In this letter, we develop some generic power allocation strategies in an uplink multiband satellite communications system when nonlinear impairments on the High-Power Amplifier onboard satellite occur. Based on the capacity closed-form expression related to receivers seeing nonlinear interference as a noise, we propose practical and scalable algorithms for three power allocation problems: i) sum-power minimization, ii) maximization of minimum per-user data rate, iii) sum-rate maximization. We show that the solutions mainly rely on Geometric Programming and/or Successive Convex Approximation approaches. The proposed solutions outperform naive approaches while enabling user scalability contrary to optimal brute-force grid search algorithms.

中文翻译：

---

具有非线性损伤的上行链路多频带卫星通信的功率分配

在这封信中，我们在上行链路多频段卫星通信系统中开发了一些通用的功率分配策略，当高功率放大器星载卫星出现非线性损伤时。基于与接收器将非线性干扰视为噪声相关的容量闭式表达式，我们针对三个功率分配问题提出了实用且可扩展的算法：i) 总和功率最小化， ii) 最大化每个用户的最小数据速率， iii) 总和率最大化。我们表明解决方案主要依赖于几何规划和/或连续凸逼近方法。所提出的解决方案优于幼稚的方法，同时使用户可扩展性与最佳的蛮力网格搜索算法相反。