无线携能通信系统中基于能量获取比例公平的波束成形设计

张海洋; 黄永明; 杨绿溪

doi:10.7498/aps.64.028402

摘要

针对无线携能通信系统中存在能量获取不均衡的问题, 提出了一种基于能量获取比例公平的波束成形设计方案. 该方案在满足信息接收者的信干噪比以及发送端的最大发送功率等约束条件的基础上, 通过优化波束矢量实现能量获取的比例公平. 此设计在数学上是一个很难直接求解的非凸优化问题.为此, 本文首先利用半定松弛技术将其转换为半定规划问题, 然后结合二分法提出了可以获得最优波束矢量的迭代算法.此外, 在发送端仅知道部分信道状态信息且知道信道误差范围的情况下, 采用最差性能最优的方法对原优化问题进行了鲁棒波束成形设计, 并提出了相应的迭代算法. 仿真结果表明所提算法均可实现能量获取的比例公平且性能达到全局最优.

关键词:

Abstract

In this paper, we propose a beamforming design based on energy harvesting proportional fairness to overcome the unbalance of energy harvesting in a simultaneous wireless information and power transfer system. We aim at achieving the energy harvesting proportional fairness while guaranteeing the signal to interference plus noise ratio constraints at the information receivers and total power constraint at the transmitter by optimizing the beamforming vectors. This optimization problem is of non-convex and hence difficult to solve. In order to solve it, in this paper, we first use the semi-definite relaxation technique as a tool to transform it into a semi-definite program problem, and then propose an iterative algorithm based on bisection method to obtain the optimal beamforming vectors. Besides, we also extend our result to a robust case where the transmitter only knows a part of the channel state information and the bound of channel errors, and propose an iterative algorithm based on worst-case method to obtain the corresponding beamforming vectors. Finally, the simulation results show that the proposed algorithms can achieve both the energy harvesting proportional fairness and global optimum.

Keywords:

simultaneous wireless information and power transfer /
beamforming /
energy harvesting /
semi-definite relaxation

作者及机构信息

1.
东南大学信息科学与工程学院, 南京 210096

基金项目: 国家自然科学基金(批准号: 61372101, 61271018)、国家科技重大专项(批准号: 2012ZX03004-005-003, 2011ZX03003-003-03)、江苏省科技计划项目(批准号: BE2012167, BK2011019)和教育部博士点新教师基金(批准号: 20100092110010)资助的课题.

Authors and contacts

1.
School of Information Science and Engineering, Southeast University, Nanjing 210096, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61372101, 61271018), the National Science and Technology Major Project of China (Grant Nos. 2012ZX03004-005-003, 2011ZX03003-003-03), the Research Project of Jiangsu Province, China (Grant Nos. BE2012167, BK2011019), and Ph. D. Programs Foundation of Ministry of Education of China (Grant No. 20100092110010).

参考文献

[1]	Han L, Liu B, Li Y Q, Zhao L J 2014 Acta Phys. Sin. 63 150504 (in Chinese) [韩丽, 刘彬, 李雅倩, 赵磊静 2014 63 150504]
[2]	Liu H R, Yin W X, Han T, Dong M R 2013 Acta Phys. Sin. 62 040509 (in Chinese) [刘浩然, 尹文晓, 韩涛, 董明如 2013 62 040509]
[3]	Tong X J, Wang Z, Zuo K 2012 Chin. Phys. B 21 020506
[4]	Wang Y Q, Yang X Y 2013 Chin. Phys. B 22 010509
[5]	Varshney L R 2008 IEEE International Symposium on Information Theory Ontario, Canada, July 7-11, 2008 p1612
[6]	Grover P, Sahai A 2010 IEEE International Symposium on Information Theory Austin, USA, June 13-18, 2010 p2363
[7]	Zhang R, Ho C 2013 IEEE Trans. Wireless Commun. 12 1989
[8]	Xiang Z Z, Tao M X 2012 IEEE Wireless Commun. Lett. 1 372
[9]	Park J, Clerckx B 2013 IEEE Trans. Wireless Commun. 12 4210
[10]	Xing C W, Wang N W, Ni J Q, Fei Z S, Kuang J M 2013 IEEE Signal Proce. Lett. 12 363
[11]	Xu J, Liu L, Zhang R 2013 IEEE International Conference on Acoustics, Speech and Signal Processing Vancouver, Canada, May 26-30, 2013 p4754
[12]	Luo Z Q, Ma W K, So A M C, Ye Y Y, Zhang S Z 2010 IEEE Signal Proc. Magazine 27 20
[13]	Wang Y, Wu W F, Fan Z, Liang G L 2013 Acta Phys. Sin. 62 184302 (in Chinese) [王燕, 吴文峰, 范展, 梁国龙 2013 62 184302]
[14]	Sidiropoulos N D, Davidson T N, Luo Z Q 2006 IEEE Trans. Signal Proc. 54 2239
[15]	Boyd S, Vandenberghe L 2004 Convex Optimization (New York: Cambridge University Press) p226
[16]	Wang J H, Bengtsson M 2011 IEEE Signal Proc. Lett. 10 295
[17]	Kwon O M, Kwon J W, Kim S H 2011 Chin. Phys. B 20 050505
[18]	Shi Q J, Liu L, Xu W Q, Zhang R 2014 IEEE Trans. Wireless Commun. 13 3269
[19]	Hai L, Zhang Y R 2012 Acta Phys. Sin. 61 180101 (in Chinese) [海凛, 张业荣 2012 61 180101]

施引文献

[1]	Han L, Liu B, Li Y Q, Zhao L J 2014 Acta Phys. Sin. 63 150504 (in Chinese) [韩丽, 刘彬, 李雅倩, 赵磊静 2014 63 150504]
[2]	Liu H R, Yin W X, Han T, Dong M R 2013 Acta Phys. Sin. 62 040509 (in Chinese) [刘浩然, 尹文晓, 韩涛, 董明如 2013 62 040509]
[3]	Tong X J, Wang Z, Zuo K 2012 Chin. Phys. B 21 020506
[4]	Wang Y Q, Yang X Y 2013 Chin. Phys. B 22 010509
[5]	Varshney L R 2008 IEEE International Symposium on Information Theory Ontario, Canada, July 7-11, 2008 p1612
[6]	Grover P, Sahai A 2010 IEEE International Symposium on Information Theory Austin, USA, June 13-18, 2010 p2363
[7]	Zhang R, Ho C 2013 IEEE Trans. Wireless Commun. 12 1989
[8]	Xiang Z Z, Tao M X 2012 IEEE Wireless Commun. Lett. 1 372
[9]	Park J, Clerckx B 2013 IEEE Trans. Wireless Commun. 12 4210
[10]	Xing C W, Wang N W, Ni J Q, Fei Z S, Kuang J M 2013 IEEE Signal Proce. Lett. 12 363
[11]	Xu J, Liu L, Zhang R 2013 IEEE International Conference on Acoustics, Speech and Signal Processing Vancouver, Canada, May 26-30, 2013 p4754
[12]	Luo Z Q, Ma W K, So A M C, Ye Y Y, Zhang S Z 2010 IEEE Signal Proc. Magazine 27 20
[13]	Wang Y, Wu W F, Fan Z, Liang G L 2013 Acta Phys. Sin. 62 184302 (in Chinese) [王燕, 吴文峰, 范展, 梁国龙 2013 62 184302]
[14]	Sidiropoulos N D, Davidson T N, Luo Z Q 2006 IEEE Trans. Signal Proc. 54 2239
[15]	Boyd S, Vandenberghe L 2004 Convex Optimization (New York: Cambridge University Press) p226
[16]	Wang J H, Bengtsson M 2011 IEEE Signal Proc. Lett. 10 295
[17]	Kwon O M, Kwon J W, Kim S H 2011 Chin. Phys. B 20 050505
[18]	Shi Q J, Liu L, Xu W Q, Zhang R 2014 IEEE Trans. Wireless Commun. 13 3269
[19]	Hai L, Zhang Y R 2012 Acta Phys. Sin. 61 180101 (in Chinese) [海凛, 张业荣 2012 61 180101]

[1]	龚黎华, 陈振泳, 徐良超, 周南润. 基于高维单粒子态的双向半量子安全直接通信协议. , 2022, 71(13): 130304. doi: 10.7498/aps.71.20211702
[2]	曾闵, 罗颖, 江虹. 无线能量传输支持的设备到设备多播能量协作传输机制. , 2022, 71(16): 168801. doi: 10.7498/aps.71.20220345
[3]	肖圣杰, 林敏, 赵柏, 林志, 程铭. 智能反射面辅助的星地融合网络鲁棒安全波束成形算法. , 2022, 71(7): 078401. doi: 10.7498/aps.71.20212032
[4]	李妤晨, 陈航宇, 宋建军. 用于提高微波无线能量传输系统接收端能量转换效率的肖特基二极管. , 2020, 69(10): 108401. doi: 10.7498/aps.69.20191415
[5]	石泰峡, 董丽娟, 陈永强, 刘艳红, 刘丽想, 石云龙. 人工磁导体对无线能量传输空间场的调控. , 2019, 68(21): 214203. doi: 10.7498/aps.68.20190862
[6]	周大方, 张树林, 蒋式勤. 用于心脏电活动成像的空间滤波器输出噪声抑制方法. , 2018, 67(15): 158702. doi: 10.7498/aps.67.20180294
[7]	赵俊飞, 张冶文, 李云辉, 陈永强, 方恺, 赫丽. 基于环磁美特材料的无线传能系统. , 2016, 65(16): 168801. doi: 10.7498/aps.65.168801
[8]	殷敬伟, 杜鹏宇, 张晓, 朱广平. 基于单矢量差分能量检测器的扩频水声通信. , 2016, 65(4): 044302. doi: 10.7498/aps.65.044302
[9]	杜鹏宇, 殷敬伟, 周焕玲, 郭龙祥. 基于时反镜能量检测法的循环移位扩频水声通信. , 2016, 65(1): 014302. doi: 10.7498/aps.65.014302
[10]	郝晓辰, 刘伟静, 辛敏洁, 姚宁, 汝小月. 一种无线传感器网络健壮性可调的能量均衡拓扑控制算法. , 2015, 64(8): 080101. doi: 10.7498/aps.64.080101
[11]	韩丽, 刘彬, 李雅倩, 赵磊静. 能量异构的无线传感器网络加权无标度拓扑研究. , 2014, 63(15): 150504. doi: 10.7498/aps.63.150504
[12]	娄利飞, 潘青彪, 吴志华. 基于石墨烯用于微弱能量获取的柔性微结构研究. , 2014, 63(15): 158501. doi: 10.7498/aps.63.158501
[13]	王燕, 吴文峰, 范展, 梁国龙. 基于半定规划和秩-1分解的稳健波束形成. , 2013, 62(18): 184302. doi: 10.7498/aps.62.184302
[14]	海凛, 张业荣. 任意分集方式多输入多输出无线通信系统的统计信道建模. , 2012, 61(18): 180101. doi: 10.7498/aps.61.180101
[15]	张朝霞, 禹思敏. 基于数字信号处理器的语音无线混沌通信——系统设计与硬件实现. , 2010, 59(5): 3017-3026. doi: 10.7498/aps.59.3017
[16]	张戎, 黎华, 曹俊诚, 封松林. 太赫兹无线通信系统中的反射器研究. , 2009, 58(7): 4618-4623. doi: 10.7498/aps.58.4618
[17]	熊稳, 赵铧. ZnO薄膜的激子能量和束缚能的计算. , 2007, 56(2): 1061-1065. doi: 10.7498/aps.56.1061
[18]	刘文森. 广义相对论中能量的定域性. , 1983, 32(4): 515-519. doi: 10.7498/aps.32.515
[19]	苏文辉, 刘维娜, 何澎民, 邱淑蓁. 面心立方金属的空穴松弛能和空穴形成能的计算. , 1965, 21(10): 1767-1775. doi: 10.7498/aps.21.1767
[20]	张启仁, 孙佶. 可分的非定域中心力和轻核结合能. , 1964, 20(12): 1278-1283. doi: 10.7498/aps.20.1278

计量

文章访问数: 5915
PDF下载量: 1037
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板