Joint optimization method of full-duplex cognitive relay network based on nonlinear energy harvesting

doi:10.11772/j.issn.1001-9081.2021081460

Journal of Computer Applications ›› 2022, Vol. 42 ›› Issue (10): 3130-3139.DOI: 10.11772/j.issn.1001-9081.2021081460

• Network and communications • Previous Articles

Joint optimization method of full-duplex cognitive relay network based on nonlinear energy harvesting

Lingzhao WANG¹^,², Runhe QIU¹^,²

^1.College of Information Science and Technology，Donghua University，Shanghai 201620，China
^2.Engineering Research Center of Digitized Textile & Apparel Technology，Ministry of Education （Donghua University），Shanghai 201620，China

Received:2021-08-16 Revised:2021-12-07 Accepted:2021-12-07 Online:2022-01-07 Published:2022-10-10
Contact: Lingzhao WANG
About author:WANG Lingzhao， born in 1997， M. S. candidate. His research interests include full-duplex cooperative relay， cognitive radio.
QIU Runhe，born in 1961， Ph. D. ， professor. His research interests include wireless communications， data processing and analysis，cognitive radio， intelligent detection system.
Supported by:
National Natural Science Foundation of China(61671143)

基于非线性能量收集的全双工认知中继网络的联合优化方法

王令照¹^,², 仇润鹤¹^,²

^1.东华大学信息科学与技术学院，上海 201620
^2.数字化纺织服装技术教育部工程研究中心（东华大学），上海 201620

通讯作者: 王令照
作者简介:第一联系人：王令照（1997—），男，江西南昌人，硕士研究生，主要研究方向：全双工协作中继、认知无线电; 1208865394@qq.com
仇润鹤（1961—），男，上海人，教授，博士，主要研究方向：无线通信、数据处理与分析、认知无线电、智能检测系统。
基金资助:
国家自然科学基金资助项目(61671143)

Abstract

Abstract:

Aiming at the influence of the time consumption of the information transmission process and the channel estimation error on the energy efficiency of the network， a joint optimization method of full-duplex cognitive relay network based on nonlinear energy harvesting was proposed. The proposed method was based on the use of nonlinear energy harvesting in the relay and consideration the imperfect Channel State Information （CSI）. Firstly， the energy efficiency non-convex optimization problem was transformed into two convex sub-optimization problems to obtain the transmission power of the secondary user and the relay as well as the collected energy. Secondly， under the condition that the primary user interference threshold was guaranteed and the optimal transmission power was non-negative， the range of transmission channel capacity was obtained. Finally， the transmission power was substituted into the expression to obtain the time related objective function， and the Hessian matrix was used to prove that the objective function was a convex function， the optimal transmission time and power splitting factor were calculated， and the optimal solution of energy efficiency was obtained. Experimental results show that under the same conditions， the energy efficiency of the proposed joint optimization method is about 84.3% higher than that of only optimizing the transmission power. At the same time， it is verified that when the channel estimation error factor is 0.01， the energy efficiency of the network is reduced by about 1.9% by using the proposed method.

Key words: nonlinear energy harvesting, full-duplex, cognitive relay network, imperfect Channel State Information (CSI), energy efficiency non-convex optimization

摘要：

针对信息传输过程的时间消耗和信道估计误差对网络能效的影响，提出了一种基于非线性能量收集的全双工认知中继网络的联合优化方法。所提方法是在中继采用非线性能量收集并考虑非完美信道状态信息（CSI）的情况下，首先通过将能效非凸优化问题转化为两个凸的子优化问题，从而求出次用户和中继的传输功率以及收集的能量；其次，在保证主用户干扰门限以及最优传输功率非负的情况下，求出传输的信道容量范围；最后，将传输功率代入表达式得到关于时间的目标函数，并利用海森矩阵证明该目标函数为凸函数，进而求出最优传输时间以及功率分割因子，最终得出能效最优解。实验结果表明，在相同条件下，所提联合优化方法的能效相较于仅优化传输功率的能效提升了约84.3%；同时验证了信道估计误差因子为0.01时，所提方法的网络能效降低了约1.9%。

关键词: 非线性能量收集, 全双工, 认知中继网络, 非完美信道状态信息, 能效非凸优化

CLC Number:

TN925

Lingzhao WANG, Runhe QIU. Joint optimization method of full-duplex cognitive relay network based on nonlinear energy harvesting[J]. Journal of Computer Applications, 2022, 42(10): 3130-3139.

王令照, 仇润鹤. 基于非线性能量收集的全双工认知中继网络的联合优化方法[J]. 《计算机应用》唯一官方网站, 2022, 42(10): 3130-3139.

Figures/Tables 11

Fig. 1 Full-duplex CR relay network with nonlinear energy harvesting under imperfect CSI

Fig. 2 Transmission state diagram of entire time slot

Tab. 1 Definition of variables

变量	定义
$h j k, i 2$	各信道的增益
$u i$	主用户对次用户的干扰
$n r$	干扰噪声
$τ$	信道估计误差因子
$E r 1$ 、 $E r 2$	收集的能量
$ρ$	功率分割因子
$I t h, i$	主用户受单个次用户的干扰门限
$T$	整个传输时间
$t 1 、 t 2$	两时隙的传输时间
$P s, i 、 P r 1, i 、 P r 2, i 、 P d, i$	各节点的发射功率
$P s r, i 、 P d r, i 、 P r 1 r, i 、 P r 2 r, i$	次用户和中继的接收功率

Tab. 1 Definition of variables

变量	定义
$h j k, i 2$	各信道的增益
$u i$	主用户对次用户的干扰
$n r$	干扰噪声
$τ$	信道估计误差因子
$E r 1$ 、 $E r 2$	收集的能量
$ρ$	功率分割因子
$I t h, i$	主用户受单个次用户的干扰门限
$T$	整个传输时间
$t 1 、 t 2$	两时隙的传输时间
$P s, i 、 P r 1, i 、 P r 2, i 、 P d, i$	各节点的发射功率
$P s r, i 、 P d r, i 、 P r 1 r, i 、 P r 2 r, i$	次用户和中继的接收功率

Tab. 2 Network parameter setting

参数	值
次用户 $S 1$ 到中继R的距离 $d s r$	1 m
次用户 $S 1$ 到次用户 $D 1$ 的距离 $d s d$	2 m
中继R到次用户 $D 1$ 距离 $d r d$	1 m
主用户PU到次用户 $S 1$ 的距离 $d s p$	4 m
信道衰弱因子 $α$	2
自干扰信道增益 $h r r, i 2$	0.2
噪声干扰和主用户对次用户干扰 $σ 2 / 2$	0.25 dB
整个传输时间 $T$	2 s
信道带宽 $W$	3 Hz
次用户和中继的接收功率 $P s r, i 、 P d r, i 、 P r 1 r, i 、 P r 2 r, i$	0.25 W
静态电路消耗功率 $P c$	1.5 W
主用户接收功率 $P p r$	0.5 W
主用户受单个次用户的干扰门限 $I t h, i$	4 dB

Tab. 2 Network parameter setting

参数	值
次用户 $S 1$ 到中继R的距离 $d s r$	1 m
次用户 $S 1$ 到次用户 $D 1$ 的距离 $d s d$	2 m
中继R到次用户 $D 1$ 距离 $d r d$	1 m
主用户PU到次用户 $S 1$ 的距离 $d s p$	4 m
信道衰弱因子 $α$	2
自干扰信道增益 $h r r, i 2$	0.2
噪声干扰和主用户对次用户干扰 $σ 2 / 2$	0.25 dB
整个传输时间 $T$	2 s
信道带宽 $W$	3 Hz
次用户和中继的接收功率 $P s r, i 、 P d r, i 、 P r 1 r, i 、 P r 2 r, i$	0.25 W
静态电路消耗功率 $P c$	1.5 W
主用户接收功率 $P p r$	0.5 W
主用户受单个次用户的干扰门限 $I t h, i$	4 dB

Fig. 3 Distance relationship between primary user， secondary user and relay

Fig. 4 Solving optimal transmission time

Fig. 5 Relationship between energy efficiency and capacity of symmetrical transmission channel within secondary user pair

Fig. 6 Relationship between energy efficiency and capacity of asymmetric transmission channel within secondary user pair

Fig. 7 Relationship between energy efficiency and capacity of asymmetric transmission channel between secondary user pairs

Fig.8 Relationship between maximum energy efficiency and interference threshold Ith,i

Fig. 9 Relationship between energy efficiency and interference noise σ2

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Joint optimization method of full-duplex cognitive relay network based on nonlinear energy harvesting

基于非线性能量收集的全双工认知中继网络的联合优化方法

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