Browse > Article
http://dx.doi.org/10.3837/tiis.2017.08.002

Achievable Rate of Beamforming Dual-hop Multi-antenna Relay Network in the Presence of a Jammer  

Feng, Guiguo (State Key Laboratory of Integrated Services Networks (ISN), Xidian University)
Guo, Wangmei (State Key Laboratory of Integrated Services Networks (ISN), Xidian University)
Gao, Jingliang (State Key Laboratory of Integrated Services Networks (ISN), Xidian University)
Publication Information
KSII Transactions on Internet and Information Systems (TIIS) / v.11, no.8, 2017 , pp. 3789-3808 More about this Journal
Abstract
This paper studies a multi-antenna wireless relay network in the presence of a jammer. In this network, the source node transmits signals to the destination node through a multi-antenna relay node which adopts the amplify-and-forward scheme, and the jammer attempts to inject additive signals on all antennas of the relay node. With the linear beamforming scheme at the relay node, this network can be modeled as an equivalent Gaussian arbitrarily varying channel (GAVC). Based on this observation, we deduce the mathematical closed-forms of the capacities for two special cases and the suboptimal achievable rate for the general case, respectively. To reduce complexity, we further propose an optimal structure of the beamforming matrix. In addition, we present a second order cone programming (SOCP)-based algorithm to efficiently compute the optimal beamforming matrix so as to maximize the transmission rate between the source and the destination when the perfect channel state information (CSI) is available. Our numerical simulations show significant improvements of our propose scheme over other baseline ones.
Keywords
wireless relay network; linear beamforming; Gaussian arbitrarily varying channel; second order cone programming;
Citations & Related Records
연도 인용수 순위
  • Reference
1 J. Laneman and G. Wornell, "Distributed space time block coded protocols for exploiting cooperative diversity in wireless networks," IEEE Trans. Inform. Theory, vol. 49, no. 10, pp. 2415-2425, Oct. 2003.   DOI
2 J. Laneman, D. Tse, and G. Wornell, "Cooperative diversity in wireless networks: efficient protocols and outage behavior," IEEE Trans. Inform. Theory, vol. 50, no. 12, pp. 3062-3080, Dec. 2004.   DOI
3 K. Azarian, H.E. Gamal, and P. Schniter, "On the Achievable Diversity-Multiplexing Tradeoff in Half-Duplex Cooperative Channels," IEEE Trans. Inform. Theory, vol. 51, no. 12, pp. 4152-4172, Dec. 2005.   DOI
4 S. Borade, L. Zheng, and R. Gallager, "Amplify-and-forward in wireless relay networks: Rate, diversity and network size," IEEE Trans. Inform. Theory, vol. 53, no. 10, pp. 3302 - 3318, Oct. 2007.   DOI
5 F. Gao, T. cui and A. Nallanathan, "On Channel Estimation and Optimal Training Design for Amplify and Forward Relay Networks," IEEE Transactions on Wireless Communications vol. 7, no. 5, pp. 1907- 1916, May 2008.   DOI
6 F. Gao, R. Zhang and Y-C. Liang, "Optimal Channel Estimation and Training Design for Two-Way Relay Networks," IEEE Transactions on Wireless Communications, pp. 3024-3033 vol. 57, no. 10, Oct. 2009.   DOI
7 T. Cui, F. Gao, T. Ho and A. Nallanathan, "Distributed Space-Time Coding for Two-Way Wireless Relay Networks," IEEE Trans. Signal Process, pp.658-671, vol. 57, Issue: 2, Feb. 2009.   DOI
8 Tang, X., and Hua, Y, "Optimal design of non-regenerative mimo wireless relays," IEEE Trans. Wireless Commun., 6, (4), pp. 1398-1407, 2007.   DOI
9 I. Mari'c, A. Goldsmith, and M. M′edard, "Multihop analog network coding via amplify-and-forward: the high SNR regime," IEEE Trans. Inf. Theory, vol. 58, no. 2, pp. 793 - 803, Feb., 2012.   DOI
10 T. Cover and A. Gamal, "Capacity theorems for the relay channel," IEEE Trans. Inform. Theory, vol. 25, no. 5, pp. 572-584, Sept. 1979.   DOI
11 Y. Jing and B. Hassibi, "Distributed space-time coding in wireless relay networks," IEEE Trans. Wireless Commun., vol. 5, no. 12, pp. 3524-3536, Dec. 2006.   DOI
12 D. C. Schleher, "Electronic Warfare in the Information Age," Boston, MA, USA: Artech House, 1999.
13 Kun Wang , Li Yuan, Toshiaki Miyazhaki, Song Guo and Yanfei Sun "Anti-Eavesdropping with Selfish Jamming in Wireless Networks: A Bertrand Game," This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. Citation information: DOI 10.1109/TVT.2016.2639827, IEEE Transactions on Vehicular Technology.   DOI
14 R. A. Poisel, "Modern Communications Jamming Principles and Techniques," Boston, MA, USA: Artech House, 2003.
15 Q. Liu, M. Li, X. Kong, and N. Zhao, "Disrupting MIMO communications with optimal jamming signal design," IEEE Trans. Wireless Commun., vol. 14, no. 10, pp. 5313-5325, Oct. 2015.   DOI
16 Cheng, Y., and Pesavento, M., "Joint optimization of source power allocation and distributed relay beamforming in multiuser peer-to-peer relay networks," in Proc. of IEEE Trans. Signal Process, pp. 2962-2973, 60, (6), 2012.
17 Csisza, I., and Narayan, P., "Capacity of the Gaussian arbitrarily varying channel," in Proc. of IEEE Trans. Inf. Theory, pp: 18-26, 37, (1), 1991.
18 M. K. Hanawal, M. J. Abdel-Rahman, and M. Krunz, "Game theoretic anti-jamming dynamic frequency hopping and rate adaptation in wireless systems," in Proc. of 12th Int. Symp. WIOPT, Hammamet, Tunisia, pp. 247-254, May 2014.
19 Nan. Zhao, Jing Guo, F. Richard Yu, Ming Li and Victor C. M. Leung, "Antijamming Schemes for Interference-Alignment-Based Wireless Networks," IEEE Transactions on Vehicular Technology, vol. 66, no. 2, pp.1271-1283, Feb. 2017.   DOI
20 X. He, H. Dai, and P. Ning, "Dynamic adaptive anti-jamming via controlled mobility," IEEE Trans. Wireless Commun., vol. 13, no. 8, pp. 4374-4388, Aug. 2014.   DOI
21 Horn, R. A. and C. A. Johnson, "Matrix Analysis," pp. 176-180, Cambridge University Press, 1985.
22 Jing Guo, Nan Zhao, F. Richard Yu, Xin Liu and and Victor C. M. Leung, "Exploiting Adversarial Jamming Signals for Energy Harvesting in Interference Networks," IEEE Transactions on Wireless Communications, pp. 1267-1280, vol. 16, no. 2, Feb. 2017.   DOI
23 S. A. Jafar, "Blind interference alignment," IEEE J. Sel. Topics Signal Process., vol. 6, no. 3, pp. 216-227, Jun. 2012.   DOI
24 Jing, Y., and Jafarkhani, H., "Network beamforming using relays with perfect channel information," in Proc. of IEEE Trans. Inf. Theory, pp. 2499-2517, 55, (6), 2009.   DOI
25 Boyd, S., and Vandenberghe, L., "Convex optimization," Cambridge university press, 2004.
26 Grant, M., and Boyd, S., "CVX Users' Guide for CVX ver. 1.21," http://cvxr.com/ Apr. 2011.
27 P. U. Sripathi and J. S. Lehnert, "A throughput scaling law for a class of wireless relay networks," in Proc. of 38th Annual Asilomar Conference on Signals, Systems and Computers 2004.