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arXiv 1507.02444cs.ITmath.IT
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采用保存-发送的能量收集信道的非渐近速率

Non-Asymptotic Achievable Rates for Energy-Harvesting Channels using Save-and-Transmit

Silas L. Fong, Vincent Y. F. Tan, Jing Yang

摘要:

本文研究了有限块长度下能量收集(EH)信道的信息论极限。EH过程的特征在于i.i.d.具有有限方差的随机变量我们使用Ozel和Ulukus(2012)提出的保存和发送策略以及Shannon的非渐近可扩展性界来获得EH约束下加性高斯白噪声信道和离散无记忆信道的可实现速率的下界。可实现速率的下限的一阶项等于$C$,并且二阶(容量回退)项与$-\sqrt{ \frac{\log n}{n}}$成比例,其中$n$表示块长度,而$C$表示EH信道的容量,其与没有EH约束的容量相同。发现退避项的比例常数,并提供定性解释。

英文摘要:

This paper investigates the information-theoretic limits of energy-harvesting (EH) channels in the finite blocklength regime. The EH process is characterized by a sequence of i.i.d. random variables with finite variances. We use the save-and-transmit strategy proposed by Ozel and Ulukus (2012) together with Shannon's non-asymptotic achievability bound to obtain lower bounds on the achievable rates for both additive white Gaussian noise channels and discrete memoryless channels under EH constraints. The first-order terms of the lower bounds of the achievable rates are equal to $C$ and the second-order (backoff from capacity) terms are proportional to $-\sqrt{ \frac{\log n}{n}}$, where $n$ denotes the blocklength and $C$ denotes the capacity of the EH channel, which is the same as the capacity without the EH constraints. The constant of proportionality of the backoff term is found and qualitative interpretations are provided.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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