Performance Analysis for Two-Way Network-Coded Dual-Relay Networks With Stochastic Energy Harvesting

Performance Analysis for Two-Way Network-Coded Dual-Relay Networks With Stochastic Energy Harvesting
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具有随机能量收集的双向网络编码双中继网络的性能分析

DOI:
10.1109/twc.2017.2715175
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发表时间:
2017-06
影响因子:
10.4
通讯作者:
Zhu Shihua
Zhu Shihua
中科院分区:
计算机科学1区
文献类型:
--
作者:
Li Wei;Ku Meng-Lin;Chen Yan;Liu K. J. Ray;Zhu Shihua

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在本文中,我们考虑了一个能量收集(EH)双向(TW)双继电器网络,其中包括一个非EH继电器和一个装有有限大小电池的EH继电器。在该网络中,设计了一种基于空时网络编码的空时传输协议,并利用随机太阳EH模型提出了EH中继的最优传输策略。在该最优策略中,通过使EH继电器的发射功率适应其当前电池能量、信道衰落状态和因果太阳能EH信息的知识,使系统的长期成对错误概率(PEP)最小化。将设计的问题描述为马尔可夫决策过程框架,并采用EH继电器对PEP的贡献的条件能力作为奖励函数。我们发现了预期总贴现报酬的单调有限差结构。进一步揭示了最优策略的非保守性和单调结构。基于最优策略及其特殊结构,计算了PEP的期望值、上下界和渐近近似值,揭示了系统分集性能的一个有趣结果,即只有当衡量EH节点能量获取和存储能力的指标EH能力指数接近无穷大时,才能获得完整的分集阶数;否则,EH分集阶数仅等于1,此时网络的编码增益随着EH能力指数的增加而增加。在此基础上,提出了EH-TW双中继网络的全分集准则。最后,计算机仿真验证了我们的理论分析,并表明我们提出的最优策略的性能优于其他比较策略。
In this paper, we consider an energy harvesting (EH) two-way (TW) dual-relay network, including one non-EH relay and one EH relay equipped with a finite-sized battery. In the network, a space-time transmission protocol with space-time network coding is designed, and an optimal transmission policy for the EH relay is proposed by using a stochastic solar EH model. In this optimal policy, the long-term paired-wise error probability (PEP) of the system is minimized by adapting the EH relay’s transmission power to the knowledge of its current battery energy, channel fading status, and causal solar EH information. The designed problem is formulated as a Markov decision process framework, and the conditional capability of the contribution to PEP by the EH relay is adopted as the reward function. We uncover a monotonic and limited difference structure for the expected total discounted reward. Furthermore, a non-conservative property and a monotonic structure of the optimal policy are revealed. Based on the optimal policy and its special structures, the expectation, lower and upper bounds, and asymptotic approximation of the PEP are computed and an interesting result on the system diversity performance is revealed, i.e., the full diversity order can be achieved only if the EH capability index, a metric to quantify the EH node’s capability of harvesting and storing energy, approaches to infinity; otherwise, the EH diversity order is only equal to one, and the coding gain of the network is increasing with the EH capability index at this time. Furthermore, a full diversity criterion for the EH TW dual-relay network is proposed. Finally, computer simulations confirm our theoretical analysis and show that our proposed optimal policy outperforms other compared policies.
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