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Electronics and Telecommunications Research Institute (한국전자통신연구원)
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Design of Distributed Beamforming for Dual-Hop Multiple-Access Relay Networks

  • Liu, Binyue (State Key Laboratory of Integrated Services Networks, Xidian University)
  • Received : 2013.11.06
  • Accepted : 2014.02.14
  • Published : 2014.08.01
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Abstract

This paper studies a dual-hop multiple-access relay network where two independent source nodes transmit information to a common destination node with the aid of multiple single-antenna amplify-and-forward relays. Each relay node is subject to an individual power constraint. We focus on the design of distributed beamforming schemes for the relays to support the transmission rate requirements of the two sources. To this end, we first characterize the achievable rate region for this network via solving a sequence of corner point optimization problems proposed in this paper. We also develop several low-complexity suboptimal schemes in closed form. Two inner bounds of the achievable rate region are theoretically shown to be approximately optimal in two special scenarios. Finally, numerical results demonstrate the effectiveness of our proposed approaches.

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References

  1. J.N. Laneman, D.N.C. Tse, and G.W. Wornell, "Cooperative Diversity in Wireless Networks: Efficient Protocols and Outage Behavior," IEEE Trans. Inf. Theory, vol. 50, no. 12, Dec. 2004, pp. 3062-3080. https://doi.org/10.1109/TIT.2004.838089
  2. K. Azarian, H.E. Gamal, and P. Schniter, "On the Achievable Diversity-Multiplexing Tradeoff in Half-Duplex Cooperative Channels," IEEE Trans. Inf. Theory, vol. 51, no. 12, Dec. 2005, pp. 4152-4172. https://doi.org/10.1109/TIT.2005.858920
  3. I. Maric and R.D. Yates, "Bandwidth and Power Allocation for Cooperative Strategies in Gaussian Relay Networks," IEEE Trans. Inf. Theory, vol. 56, no. 4, Apr. 2010, pp. 1880-1889. https://doi.org/10.1109/TIT.2010.2040875
  4. Z. Yi and I.-M. Kim, "Joint Optimization of Relay-Precoders and Decoders with Partial Channel Side Information in Cooperative Networks," IEEE J. Sel. Areas Commun., vol. 25, no. 2, Feb. 2007, pp. 447-458. https://doi.org/10.1109/JSAC.2007.070219
  5. Y. Jing and H. Jafarkhani, "Network Beamforming Using Relays with Perfect Channel Information," IEEE Trans. Inf. Theory, vol. 55, no. 6, June 2009, pp. 2499-2517. https://doi.org/10.1109/TIT.2009.2018175
  6. K.S. Gomadam and S.A. Jafar, "The Effect of Noise Correlation in Amplify-and-Forward Relay Networks," IEEE Trans. Inf. Theory, vol. 55, no. 2, Feb. 2009, pp. 731-745. https://doi.org/10.1109/TIT.2008.2009826
  7. A.S. Behbahani and A.M. Eltawil, "Amplify-and-Forward Relay Networks under Received Power Constraint," IEEE Trans. Wireless Commun., vol. 8, no. 11, Nov. 2009, pp. 5422-5426. https://doi.org/10.1109/TWC.2009.081522
  8. I. Maric, A. Goldsmith, and M. Medard, "Multihop Analog Network Coding via Amplify-and-Forward: The High SNR Regime," IEEE Trans. Inf. Theory, vol. 58, no. 2, Feb. 2012, pp. 793-803. https://doi.org/10.1109/TIT.2011.2173721
  9. B. Liu and N. Cai, "Analog Network Coding in the Generalized High-SNR Regime," IEEE Int. Symp. Inf. Theory, St. Pertersburg, Russia, July 31-Aug. 5, 2011, pp. 74-78.
  10. M. Zeng, R. Zhang, and S. Cui, "On Design of Collaborative Beamforming for Two-Way Relay Networks," IEEE Trans. Signal Process., vol. 59, no. 5, May 2011, pp. 2284-2295.
  11. Y. Jing and S. ShahbazPanahi, "Max-Min Optimal Joint Power Control and Distributed Beamforming for Two-Way Relay Networks under Per-Node Power Constraints," IEEE Trans. Signal Process., vol. 60, no. 12, Dec. 2012, pp. 6576-6589. https://doi.org/10.1109/TSP.2012.2210548
  12. Y. Cheng and M. Pesavento, "Joint Optimization of Source Power Allocation and Distributed Relay Beamforming in Multiuser Peer-to-Peer Relay Networks," IEEE Trans. Signal Process., vol. 60, no. 6, June 2012, pp. 2962-2973. https://doi.org/10.1109/TSP.2012.2189388
  13. S.A. Jafar, K.S. Gomadam, and C. Huang, "Duality and Rate Optimization for Multiple Access and Broadcast Channels with Amplify-and-Forward Relays," IEEE Trans. Inf. Theory, vol. 53, no. 10, Oct. 2007, pp. 3350-3370. https://doi.org/10.1109/TIT.2007.904984
  14. B. Liu and N. Cai, "Optimal Rate Region of Two-Hop Multiple Access Channel via Amplify-and-Forward Scheme," Inf. Theory, Combinatorics, Search Theory, vol. 7777, 2013, pp. 44-70.
  15. F. Gao, T. Cui, and A. Nallanathan, "On Channel Estimation and Optimal Training Design for Amplify and Forward Relay Networks," IEEE Trans. Wireless Commun., vol. 7, no. 5, May 2008, pp. 1907-1916. https://doi.org/10.1109/TWC.2008.070118
  16. T. Cover and J. Thomas, "Elements of Information Theory," New York: Wiley, 1991.
  17. Z.-Q. Luo et al., "Semidefinite Relaxation of Quadratic Optimization Problems," IEEE Signal Process. Mag., vol. 27, no. 3, May 2010, pp. 20-34.
  18. N.D. Sidiropoulos, T.N. Davidson, and Z.Q. Luo, "Transmit Beamforming for Physical-Layer Multicasting," IEEE Trans. Signal Process., vol. 54, no. 6, June 2006, pp. 2239-2251. https://doi.org/10.1109/TSP.2006.872578
  19. D.G. Brennan, "Linear Diversity Combining Techniques," Proc. IRE, vol. 47, no. 6, June 1959, pp. 1075-1102. https://doi.org/10.1109/JRPROC.1959.287136
  20. R.A. Horn and C.R. Johnson, "Matrix Analysis," Cambridge, UK: Cambridge University Press, 2004.
  21. S. Boyd and L. Vandenberghe, "Convex Optimization," Cambridge, UK: Cambridge University Press, 2004.

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