In this letter, we study the performance of a wireless power transfer system under energy harvesting distribution uncertainty. The uncertainty captures practical nonidealities of the rectification process and is modelled as the maximum Kullback-Leibler distance of the actual distribution from a nominal distribution. The case where symmetrized divergence is considered for the statistical distance between distributions is also considered. By formulating a convex optimization problem, we investigate a mathematical framework that provides closed form expressions for the minimum average harvested energy (the worst performance) and the associated statistical distribution. Theoretical results show that the energy harvesting performance is significantly degraded as the level of the uncertainty increases.

中文翻译：

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Kullback-Leibler 分布不确定性下的无线电力传输：数学框架

在这封信中，我们研究了在能量收集分布不确定的情况下无线电力传输系统的性能。不确定性捕获了整流过程的实际非理想性，并被建模为实际分布与名义分布的最大 Kullback-Leibler 距离。还考虑了针对分布之间的统计距离考虑对称散度的情况。通过制定凸优化问题，我们研究了一个数学框架，该框架为最小平均收集能量（最差性能）和相关的统计分布提供了封闭形式的表达式。理论结果表明，随着不确定性水平的增加，能量收集性能显着下降。