论文标题

kullback-leibler分布不确定性下的无线电源传输:数学框架

Wireless Power Transfer Under Kullback-Leibler Distribution Uncertainty: A Mathematical Framework

论文作者

Krikidis, Ioannis

论文摘要

在这封信中,我们研究了在能源收集分布不确定性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,并将其建模为实际分布与名义分布的最大kullback-leibler距离。还考虑了考虑分布之间统计距离的对称性差异的情况。通过制定凸优化问题,我们研究了一个数学框架,该框架为最低平均收获能量(最差的性能)和相关的统计分布提供了封闭形式表达式。理论结果表明,随着不确定性水平的增加,能量收集性能显着降低。

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.

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