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arXiv 1408.6504cs.ITmath.IT
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具有单位尺寸电池的二进制能量收集通道

The Binary Energy Harvesting Channel with a Unit-Sized Battery

Kaya Tutuncuoglu, Omur Ozel, Aylin Yener, Sennur Ulukus

摘要:

我们考虑一个二进制能量收集通信信道与有限大小的电池在发射机。在该模型中,通道输入受到每个通道使用时的可用能量的约束,该可用能量由外部能量收集过程、电池的大小和先前的通道输入驱动。我们考虑一个抽象,其中能量以二进制单位收获并存储在具有单个单位容量的电池中,并且通道输入是二进制的。将电池中的可用能量视为状态,这是具有输入依赖状态、状态中的存储器和仅在发射机处可用的因果状态信息的状态依赖信道。我们找到了一个等效的表示为这个信道的符号的定时的基础上,并通过一个辅助随机变量确定所得到的等效定时信道的容量。我们给出了可实现的速率的基础上,这种辅助随机变量类似于网格编码的定时信道的某些选择。我们开发的上限的能力,通过使用基因辅助的方法,也通过量化的状态信息泄漏到接收器。我们表明,所提出的可实现的速率是渐进的能力实现小的能量收获率。我们将结果扩展到三进制通道输入的情况。我们的可实现的速率给的二进制通道内的容量0.03位/通道使用,三进制通道内的0.05位/通道使用,并优于基本的香农策略,只考虑瞬时电池状态,所有参数值。

英文摘要:

We consider a binary energy harvesting communication channel with a finite-sized battery at the transmitter. In this model, the channel input is constrained by the available energy at each channel use, which is driven by an external energy harvesting process, the size of the battery, and the previous channel inputs. We consider an abstraction where energy is harvested in binary units and stored in a battery with the capacity of a single unit, and the channel inputs are binary. Viewing the available energy in the battery as a state, this is a state-dependent channel with input-dependent states, memory in the states, and causal state information available at the transmitter only. We find an equivalent representation for this channel based on the timings of the symbols, and determine the capacity of the resulting equivalent timing channel via an auxiliary random variable. We give achievable rates based on certain selections of this auxiliary random variable which resemble lattice coding for the timing channel. We develop upper bounds for the capacity by using a genie-aided method, and also by quantifying the leakage of the state information to the receiver. We show that the proposed achievable rates are asymptotically capacity achieving for small energy harvesting rates. We extend the results to the case of ternary channel inputs. Our achievable rates give the capacity of the binary channel within 0.03 bits/channel use, the ternary channel within 0.05 bits/channel use, and outperform basic Shannon strategies that only consider instantaneous battery states, for all parameter values.

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