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arXiv 1706.08021cs.ITmath.IT
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用于块i.i.d.的在线功率控制能量收集渠道

Online Power Control for Block i.i.d. Energy Harvesting Channels

Dor Shaviv, Ayfer Özgür

摘要:

研究了能量到达随机、电池有限的能量收集通信节点的在线功率控制问题。我们假设一个块身份证。能量到达的随机模型,其中能量到达在固定持续时间$T$内是恒定的,但是在不同的块之间是独立的,从任意分布中得出。该模型作为一个简单的近似随机过程的相干时间$T$。我们提出了一个简单的在线功率控制策略,并证明了其性能差距的最佳吞吐量是有界的一个常数是独立的参数的问题。这也产生了一个简单的公式,近似最佳的长期平均吞吐量,这揭示了一些光的吞吐量的定性行为,以及它如何取决于能量到达过程的相干时间。我们的研究结果表明,也许违反直觉,对于一个固定的平均能量到达率的吞吐量随着增加的相干时间$T$的能量到达过程。特别地,接近信道的AWGN容量所需的电池尺寸随着过程的相干时间线性地增加。最后,我们表明,我们的研究结果可以提供一个近似的信息理论容量相同的信道。

英文摘要:

We study the problem of online power control for energy harvesting communication nodes with random energy arrivals and a finite battery. We assume a block i.i.d. stochastic model for the energy arrivals, in which the energy arrivals are constant for a fixed duration $T$, but are independent across different blocks, drawn from an arbitrary distribution. This model serves as a simple approximation to a random process with coherence time $T$. We propose a simple online power control policy, and prove that its performance gap to the optimal throughput is bounded by a constant which is independent of the parameters of the problem. This also yields a simple formula for the approximately optimal long-term average throughput, which sheds some light on the qualitative behavior of the throughput and how it depends on the coherence time of the energy arrival process. Our results show that, perhaps counter-intuitively, for a fixed mean energy arrival rate the throughput decreases with increasing coherence time $T$ of the energy arrival process. In particular, the battery size needed to approach the AWGN capacity of the channel increases linearly with the coherence time of the process. Finally, we show that our results can provide an approximation to the information-theoretic capacity of the same channel.

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