Outage Based Robust Relay Beamforming Problem in Multi-User Networks

详细信息    查看全文

• 作者：Mohammad Amin Maleki Sadr ; Fatemeh Nazari…
• 关键词：Robust beamforming ; Distributed relay network ; Stochastic performance optimization ; Semidefinite programming ; Channel uncertainty
• 刊名：Wireless Personal Communications
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：87
• 期：4
• 页码：1371-1381
• 全文大小：545 KB
• 参考文献：1.Hong, Y.-W., Huang, W.-J., Chiu, F.-H., & Kuo, C.-C. J. (2007). Cooperative communications in resource-constrained wireless networks. IEEE Signal Processing Magazine, 24(3), 47–57.CrossRef
  2.Laneman, J. N., Tse, D. N., & Wornell, G. W. (2004). Cooperative diversity in wireless networks: Efficient protocols and outage behavior. IEEE Transactions on Information Theory, 50(12), 3062–3080.MathSciNet CrossRef MATH
  3.Zheng, G., Wong, K.-K., Paulraj, A., & Ottersten, B. (2009). Collaborative-relay beamforming with perfect csi: Optimum and distributed implementation. IEEE Signal Processing Letters, 16(4), 257–260.CrossRef
  4.Sendonaris, A., Erkip, E., & Aazhang, B. (2003). User cooperation diversity. Part ii. Implementation aspects and performance analysis. IEEE Transactions on Communications, 51(11), 1939–1948.CrossRef
  5.Fazeli-Dehkordy, S., Shahbazpanahi, S., & Gazor, S. (2009). Multiple peer-to-peer communications using a network of relays. IEEE Transactions on Signal Processing, 57(8), 3053–3062.MathSciNet CrossRef
  6.Jing, Y., & Jafarkhani, H. (2009). Network beamforming using relays with perfect channel information. IEEE Transactions on Information Theory, 55(6), 2499–2517.MathSciNet CrossRef
  7.Zheng, D., Liu, J., Wong, K.-K., Chen, H., & Chen, L. (2012). Robust peer-to-peer collaborative-relay beamforming with ellipsoidal csi uncertainties. IEEE Communications Letters, 16(4), 442–445.CrossRef
  8.Chalise, B. K., & Vandendorpe, L. (2009). Mimo relay design for multipoint-to-multipoint communications with imperfect channel state information. IEEE Transactions on Signal Processing, 57(7), 2785–2796.MathSciNet CrossRef
  9.Chalise, B. K., & Vandendorpe, L. (2010). Optimization of mimo relays for multipoint-to-multipoint communications: Nonrobust and robust designs. IEEE Transactions on Signal Processing, 58(12), 6355–6368.MathSciNet CrossRef
  10.Zheng, G., Wong, K.-K., Paulraj, A., & Ottersten, B. (2009). Robust collaborative-relay beamforming. IEEE Transactions on Signal Processing, 57(8), 3130–3143.MathSciNet CrossRef
  11.Maleki, M., Mehrizi, S., & Ahmadian, M. (2014). Distributed robust beamforming in multi-user relay network. In Proc. IEEE WCNC, April 2014 (pp. 904–907).
  12.Maleki, A. M., & Mahboobi, B. A low complexity robust relay optimization for multiple peer to peer beamforming: A safe tractable approximation approach. IET Communications (to appear).
  13.Zhang, X., Palomar, D. P., & Ottersten, B. (2008). Statistically robust design of linear mimo transceivers. IEEE Transactions on Signal Processing, 56(8), 3678–3689.MathSciNet CrossRef
  14.Shen, H., Li, B., Tao, M., & Wang, X. (2010). Mse-based transceiver designs for the mimo interference channel. IEEE Transactions on Wireless Communications, 9(11), 3480–3489.CrossRef
  15.Park, J., Sung, Y., Kim, D., & Poor, H. V. (2012). Outage probability and outage-based robust beamforming for mimo interference channels with imperfect channel state information. IEEE Transactions on Wireless Communications, 11(10), 3561–3573.CrossRef
  16.Glen, A. G., Leemis, L. M., & Drew, J. H. (2004). Computing the distribution of the product of two continuous random variables. Computational Statistics & Data Analysis, 44(3), 451–464.MathSciNet CrossRef MATH
  17.Proakis, J. G. (1995). Digital communications. New York: McGraw-Hill.MATH
  18.Neudecker, H., & Liu, S. (2001). Statistical properties of the hadamard product of random vectors. Statistical Papers, 42(4), 529–533.MathSciNet CrossRef MATH
  19.Sturm, J. F. (1999). Using sedumi 1.02, a matlab toolbox for optimization over symmetric cones. Optimization Methods and Software, 11(1–4), 625–653.MathSciNet CrossRef MATH
  20.Sturm, J. F. (2002). Implementation of interior point methods for mixed semidefinite and second order cone optimization problems. Optimization Methods and Software, 17(6), 1105–1154.MathSciNet CrossRef MATH
  
• 作者单位：Mohammad Amin Maleki Sadr (1)
  Fatemeh Nazari (1)
  Mahmoud Ahmadian-Attari (1)
  
  1. Faculty of Electrical and Computer Engineering, K. N. Toosi University of Technology, Tehran, Iran
  
• 刊物类别：Engineering
• 刊物主题：Electronic and Computer Engineering
  Signal,Image and Speech Processing
  Processor Architectures
  
• 出版者：Springer Netherlands
• ISSN：1572-834X

文摘

In this paper, a robust relay beamforming problem has been dealt with by using the stochastic approach with imperfect knowledge of channel state information. Specifically, we have modeled the channel estimation error as a Gaussian random variable. Our objective is to minimize the total relay’s transmit power subject to outage SINR constraint criterion at each receiver. We aim to establish approximate probabilistic SINR constrained formulations in the form of convex conic optimization problem. It is shown that the original robust problem is a nonconvex problem, but it can be relaxed to an SDP convex problem using the semi-definite relaxation technique. In this paper, we have compared our stochastic method with the worst-case robust method in terms of power consumption efficiency and complexity. Simulation results verify that our robust method outperforms the worst case approach.