Optimization of a robust collaborative-relay beamforming design for simultaneous wireless information and power transfer

Lu-lu ZHAO; Xing-long JIANG; Li-min LI; Guo-qiang ZENG; Hui-jie LIU

doi:10.1631/FITEE.1601268

Your Location：

Home >

Browse articles >

Optimization of a robust collaborative-relay beamforming design for simultaneous wireless information and power transfer

Regular Papers | Updated：2022-05-19

- Optimization of a robust collaborative-relay beamforming design for simultaneous wireless information and power transfer
- 无线信息与能量同时传输的鲁棒协作中继波束形成优化设计
- Frontiers of Information Technology & Electronic Engineering Vol. 19, Issue 11, Pages: 1432-1443(2018)
- Affiliations：
  
  Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, Shanghai 200050, China
  Shanghai Engineering Center for Microsatellites, Shanghai 201210, China
  College of Mathematics, Physics and Electronic Information Engineering, Wenzhou University, Wenzhou 325035, China
- Author bio：
  
  Li-min LI, E-mail: lilimin@wzu.edu.cn
- Funds：
- DOI：10.1631/FITEE.1601268
  CLC： TN92
- Received：19 May 2016，
  
  Revised：2018-11-27，
  
  Published：2018-11
- Accepted：
Scan QR Code
Lu-lu ZHAO, Xing-long JIANG, Li-min LI, et al. Optimization of a robust collaborative-relay beamforming design for simultaneous wireless information and power transfer[J]. Frontiers of Information Technology & Electronic Engineering, 2018, 19(11): 1432-1443.
DOI：

Lu-lu ZHAO, Xing-long JIANG, Li-min LI, et al. Optimization of a robust collaborative-relay beamforming design for simultaneous wireless information and power transfer[J]. Frontiers of Information Technology & Electronic Engineering, 2018, 19(11): 1432-1443. DOI： 10.1631/FITEE.1601268.

摘要

研究了应用于无线信息与能量同时传输的协作中继波束形成设计。基于中继节点拥有理想信道状态信息的假设，提出一种非鲁棒波束形成设计。实际中信道状态信息误差通常不可避免，为此，提出一种鲁棒波束形成设计。采用二分法和半定松弛法解决非鲁棒和鲁棒波束形成设计的非凸优化问题。由于半定松弛法的解不总是秩一的，提出一种迭代次梯度法求秩一解。仿真结果表明，在非理想信道状态信息下，所提鲁棒波束形成设计性能优于非鲁棒设计。

Abstract

We investigate a collaborative-relay beamforming design for simultaneous wireless information and power transfer. A non-robust beamforming design that assumes availability of perfect channel state information (CSI) in the relay nodes is addressed. In practical scenarios

CSI errors are usually inevitable; therefore

a robust collaborativerelay beamforming design is proposed. By applying the bisection method and the semidefinite relaxation (SDR) technique

the non-convex optimization problems of both non-robust and robust beamforming designs can be solved. Moreover

the solution returned by the SDR technique may not always be rank-one; thus

an iterative sub-gradient method is presented to acquire the rank-one solution. Simulation results show that under an imperfect CSI case

the proposed robust beamforming design can obtain a better performance than the non-robust one.

关键词

Keywords

references

A Beck , , , YC Eldar . . Strong duality in nonconvex quadratic optimization with two quadratic constraints . . SIAM J Optim , , 2006 . . 17 ( ( 3 ): ): 844 - - 860 . . DOI: 10.1137/050644471 http://doi.org/10.1137/050644471 . .

S Boyd , , , L Vandenberghe . . Convex Optimization , , : : Cambridge, UK Cambridge University Press , , 2004 . . .

BK Chalise , , , L Vandendorpe . . Optimization of MIMO relays for multipoint-to-multipoint communications: nonrobust and robust designs . . IEEE Trans Signal Process , , 2010 . . 58 ( ( 12 ): ): 6355 - - 6368 . . DOI: 10.1109/TSP.2010.2077632 http://doi.org/10.1109/TSP.2010.2077632 . .

G Golub , , , CF van Loan . . Matrix Computations , , : : Baltimore, Maryland, USA Johns Hopkins University Press , , 2012 . . .

M Grant , , , S Boyd . . CVX: Matlab software for disciplined convex programming (Version 2.1, Build 1110) , , 2016 . . http://cvxr.com/cvx/ http://cvxr.com/cvx/ , , [Accessed on June 10, 2015] . .

P Grover , , , A Sahai . . Shannon meets Tesla: wireless information and power transfer . . Proc IEEE Int Symp Information Theory , , 2010 . . p.2363 - - 2367 . . DOI: 10.1109/ISIT.2010.5513714 http://doi.org/10.1109/ISIT.2010.5513714 . .

V Havary-Nassab , , , S Shahbazpanahi , , , A Grami , , , 等 . . Distributed beamforming for relay networks based on second-order statistics of the channel state information . . IEEE Trans Signal Process , , 2008 . . 56 ( ( 9 ): ): 4306 - - 4316 . . DOI: 10.1109/TSP.2008.925945 http://doi.org/10.1109/TSP.2008.925945 . .

JL Huang , , , QZ Li , , , Q Zhang , , , 等 . . Relay beamforming for amplify-and-forward multi-antenna relay networks with energy harvesting constraint . . IEEE Signal Process Lett , , 2014 . . 21 ( ( 4 ): ): 454 - - 458 . . DOI: 10.1109/LSP.2014.2305737 http://doi.org/10.1109/LSP.2014.2305737 . .

MRA Khandaker , , , Y Rong . . Joint transceiver optimization for multiuser MIMO relay communication systems . . IEEE Trans Signal Process , , 2012 . . 60 ( ( 11 ): ): 5977 - - 5986 . . DOI: 10.1109/TSP.2012.2212013 http://doi.org/10.1109/TSP.2012.2212013 . .

MRA Khandaker , , , KK Wong . . SWIPT in MISO multicasting systems . . IEEE Wirel Commun Lett , , 2014 . . 3 ( ( 3 ): ): 277 - - 280 . . DOI: 10.1109/WCL.2014.030514.140057 http://doi.org/10.1109/WCL.2014.030514.140057 . .

MRA Khandaker , , , KK Wong . . Robust secrecy beamforming with energy-harvesting eavesdroppers . . IEEE Wirel Commun Lett , , 2015 . . 4 ( ( 1 ): ): 10 - - 13 . . DOI: 10.1109/LWC.2014.2358586 http://doi.org/10.1109/LWC.2014.2358586 . .

G Kramer , , , M Gastpar , , , P Gupta . . Cooperative strategies and capacity theorems for relay networks . . IEEE Trans Inform Theory , , 2005 . . 51 ( ( 9 ): ): 3037 - - 3063 . . DOI: 10.1109/TIT.2005.853304 http://doi.org/10.1109/TIT.2005.853304 . .

JN Laneman , , , DNC Tse , , , GW Wornell . . Cooperative diversity in wireless networks: efficient protocols and outage behavior . . IEEE Trans Inform Theory , , 2004 . . 50 ( ( 12 ): ): 3062 - - 3080 . . DOI: 10.1109/TIT.2004.838089 http://doi.org/10.1109/TIT.2004.838089 . .

GY Li , , , PM Ren , , , GB Lv , , , 等 . . High-rate relay beamforming for simultaneous wireless information and power transfer . . Electron Lett , , 2014 . . 50 ( ( 23 ): ): 1759 - - 1761 . . DOI: 10.1049/el.2014.2777 http://doi.org/10.1049/el.2014.2777 . .

DWK Ng , , , ES Lo , , , R Schober . . Robust beamforming for secure communication in systems with wireless information and power transfer . . IEEE Trans Wirel Commun , , 2014 . . 13 ( ( 8 ): ): 4599 - - 4615 . . DOI: 10.1109/TWC.2014.2314654 http://doi.org/10.1109/TWC.2014.2314654 . .

I Polik , , , T Terlaky . . Interior point methods for nonlinear optimization . . In: di Pillo G, Schoen F (Eds.), Nonlinear Optimization. Springer Berlin Heidelberg , , 2010 . . .

A Sendonaris , , , E Erkip , , , B Aazhang . . User cooperation diversity . . Part Ⅰ. system description. IEEE Trans Commun , , 2003 . . 51 ( ( 11 ): ): 1927 - - 1938 . . DOI: 10.1109/TCOMM.2003.818096 http://doi.org/10.1109/TCOMM.2003.818096 . .

V Sharma , , , U Mukherji , , , V Joseph , , , 等 . . Optimal energy management policies for energy harvesting sensor nodes . . IEEE Trans Wirel Commun , , 2010 . . 9 ( ( 4 ): ): 1326 - - 1336 . . DOI: 10.1109/TWC.2010.04.080749 http://doi.org/10.1109/TWC.2010.04.080749 . .

H Shen , , , JH Wang , , , BC Levy , , , 等 . . Robust optimization for amplify-and-forward MIMO relaying from a worst-case perspective . . IEEE Trans Signal Process , , 2013 . . 61 ( ( 21 ): ): 5458 - - 5471 . . DOI: 10.1109/TSP.2013.2278819 http://doi.org/10.1109/TSP.2013.2278819 . .

HD Tuan , , , P Apkarian , , , S Hosoe , , , 等 . . D.C. optimization approach to robust control: feasibility problems . . Int J Contr , , 2000 . . 73 ( ( 2 ): ): 89 - - 104 . . DOI: 10.1080/002071700219803 http://doi.org/10.1080/002071700219803 . .

LR Varshney . . Transporting information and energy simultaneously . . Proc IEEE Int Symp on Information Theory , , 2008 . . p.1612 - - 1616 . . DOI: 10.1109/ISIT.2008.4595260 http://doi.org/10.1109/ISIT.2008.4595260 . .

F Wang , , , T Peng , , , YW Huang , , , 等 . . Robust transceiver optimization for power-splitting based downlink MISO SWIPT systems . . IEEE Signal Process Lett , , 2015 . . 22 ( ( 9 ): ): 1492 - - 1496 . . DOI: 10.1109/LSP.2015.2410833 http://doi.org/10.1109/LSP.2015.2410833 . .

ZZ Xiang , , , MX Tao . . Robust beamforming for wireless information and power transmission . . IEEE Wirel Commun Lett , , 2012 . . 1 ( ( 4 ): ): 372 - - 375 . . DOI: 10.1109/WCL.2012.053112.120212 http://doi.org/10.1109/WCL.2012.053112.120212 . .

CH Xu , , , Q Zhang , , , QZ Li , , , 等 . . Robust transceiver design for wireless information and power transmission in underlay MIMO cognitive radio networks . . IEEE Commun Lett , , 2014 . . 18 ( ( 9 ): ): 1665 - - 1668 . . DOI: 10.1109/LCOMM.2014.2340851 http://doi.org/10.1109/LCOMM.2014.2340851 . .

R Zhang , , , CK Ho . . MIMO broadcasting for simultaneous wireless information and power transfer . . IEEE Trans Wirel Commun , , 2013 . . 12 ( ( 5 ): ): 1989 - - 2001 . . DOI: 10.1109/TWC.2013.031813.120224 http://doi.org/10.1109/TWC.2013.031813.120224 . .

G Zheng , , , KK Wong , , , A Paulraj . . Robust collaborativerelay beamforming . . IEEE Trans Signal Process , , 2008 . . 57 ( ( 8 ): ): 3130 - - 3143 . . DOI: 10.1109/TSP.2009.2021456 http://doi.org/10.1109/TSP.2009.2021456 . .

G Zheng , , , KK Wong , , , A Paulraj , , , 等 . . Collaborativerelay beamforming with perfect CSI: optimum and distributed implementation . . IEEE Signal Process Lett , , 2009 . . 16 ( ( 4 ): ): 257 - - 260 . . DOI: 10.1109/LSP.2008.2010810 http://doi.org/10.1109/LSP.2008.2010810 . .

Views

Downloads

CSCD

Alert me when the article has been cited

Submit

Tools

Publicity Resources

Semidefinite relaxation aided noncoherent detection in two-way relay transmission

Related Author

Chan-fei WANG

Ji-ai HE

Wei-fang WANG

Ya-mei XU

Related Institution

School of Computer and Communication, Lanzhou University of Technology

Chat

Address：Zhejiang University Press, 148 Tianmushan Road, Hangzhou, China Postal code：310028
Tel：+86-571-88273162 Email：fitee@zju.edu.cn
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰