A tractable method for robust downlink beamforming in wireless communications

Conference Record - Asilomar Conference on Signals, Systems and Computers

Volumn , Issue , 2007, Pages 1224-1228

  Mutapcic, Almir ^a   Kim, S J ^a   Boyd, Stephen ^a  

^a Stanford University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BASE STATIONS; BEAMFORMERS; CHANNEL RESPONSES; CHANNEL VECTORS; CONVEX OPTIMIZATION PROBLEMS; DOWNLINK BEAM-FORMING; IN CHANNELS; INTERIOR-POINT METHODS; MULTIPLE INPUT MULTIPLE OUTPUT MIMO); NUMERICAL EXAMPLES; ROBUST BEAMFORMER; ROBUST BEAMFORMING; SIGNAL-TO-INTERFERENCE-NOISE RATIO; THRESHOLD LEVELS; WIRELESS COMMUNICATION SYSTEMS; WIRELESS COMMUNICATIONS;

BEAMFORMING; CELLULAR TELEPHONE SYSTEMS; CHLORINE COMPOUNDS; COMMUNICATION CHANNELS (INFORMATION THEORY); COMMUNICATION SYSTEMS; GLOBAL SYSTEM FOR MOBILE COMMUNICATIONS; MIM DEVICES; MOBILE COMPUTING; MULTIPLEXING; OPTIMIZATION; SIGNAL TO NOISE RATIO; TELECOMMUNICATION; TELECOMMUNICATION SYSTEMS; VECTORS; WIRELESS TELECOMMUNICATION SYSTEMS;

ITERATIVE METHODS;

EID: 50249116149     PISSN: 10586393     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACSSC.2007.4487420     Document Type: Conference Paper

References (26)

1. E. Biglieri, A. Constantinides, R. Calderbank, A. Goldsmith, A. Paulraj, and V Poor, Introduction to MIMO Wireless. Cambridge University Press, Nov. 2006.
2. A. Goldsmith, Wireless Communcations. Cambridge Univ. Press, 2005.
3. M. Bengtsson, "Robust and constrained downlink beamforming," in Proc. of European Signal Processing Conference, EURASIP'00, pp. 1433-1436, Sept. 2000.
4. W. Yu and T. Lan, "Transmitter optimization for the multi-antenna downlink with per-antenna power constraints," IEEE Transactions on Signal Processing, vol. 55, no. 6, pp. 2646-2660, 2007.
5. A. Ben-Tal and A. Nemirovski, "Robust convex optimization," Mathematics of Operations Research, vol. 23, no. 4, pp. 769-805, 1998.
6. L. E. Ghaoui and H. Lebret, "Robust solutions to least-squares problems with uncertain data," SIAM Journal on Matrix Analysis and Applications, vol. 18, no. 4, pp. 1035-1064, 1997.
7. A. Ben-Tal and A. Nemirovski, "Robust optimization: methodology and applications," Mathematical Programming Series B, vol. 92, pp. 453-480, May 2002.
8. A. Mutapcic, S.-J. Kim, and S. Boyd, "Beamforming with uncertain weights," IEEE Signal Processing Letters, vol. 14, no. 5, pp. 352-354, 2007.
9. S. Vorobyov, A. Gershman, and Z.-Q. Luo, "Robust adaptive beamforming using worst-case performance optimization: A solution to the signal mismatch problem," IEEE Transactions on Signal Processing, vol. 51, pp. 313-324, Apr. 2003.
10. S. Vorobyov, A. Gershman, Z.-Q. Luo, and N. Ma, "Adaptive beamforming with joint robustness against mismatched signal steering vector and interference nonstationarity," IEEE Signal Processing Letters, vol. 11, pp. 108-111, Feb. 2004.
11. S. Shahbazpanahi, A. Gershman, Z.-Q. Luo, and K. Wong, "Robust adaptive beamforming for general-rank signal models," IEEE Transactions on Signal Processing, vol. 51, pp. 2257-2269, Sept. 2003.
12. P. Stoica, Z. Wang, and J. Li, "Robust Capon beamforming," IEEE Transactions on Signal Processing, vol. 10, pp. 172-175, June 2003.
13. J. Li, P. Stoica, and Z. Wang, "On robust Capon beamforming and diagonal loading," IEEE Transactions on Signal Processing, vol. 51, pp. 1702-1715, July 2003.
14. J. Li, P. Stoica, and Z. Wang, "Doubly constrained robust Capon beamformer," IEEE Transactions on Signal Processing, vol. 52, no. 9, pp. 2407-2423, 2004.
15. R. Lorenz and S. Boyd, "Robust minimum variance beamforming," IEEE Transactions on Signal Processing, vol. 53, no. 5, pp. 1684-1696, 2005.
16. N. Wong, V. Balakrishnan, and T.-S. Ng, "A second-order cone bounding algorithm for robust minimum variance beamforming," in Switching and Learning in Feedback Systems (R. Muarry-Smith and R. Shorten, eds.), pp. 223-247, Springer, 2005.
17. S.-J. Kim, A. Magnani, A. Mutapcic, S. Boyd, and Z.-Q. Luo, "Robust beamforming via worst-case SINR maximization," 2007. To appear in IEEE Transactions on Signal Processing. Available from http://stanford.edu/ ̃boyd/papers/robust_bf.html.
18. T.-L. Tung and K Yao, "Robust downlink power-control for DS-CDMA system with multimedia services," in Proc. of 4th IEEE Workshop on Signal Processing Advances in Wireless Communications SPAWC '03., pp. 532-536, June 2003.
19. A. Fridman, R. Grote, S. Weber, K Dandekar, and M. Kam, "Robust optimal power control for ad hoc networks," in Proc. of 2006 Conference on Information Sciences and Systems, Princeton University, march 2006.
20. A. Mutapcic and S. Boyd, "Cutting-set methods for robust convex optimization with worst-case oracles," November 2007. In preparation.
21. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge University Press, 2004.
22. A. Wiesel, Y. Eldar, and S. Shamai (Shitz), "Linear precoding via conic programming for fixed MIMO receivers," IEEE Transactions on Signal Processing, vol. 54, no. 1, pp. 161-176, 2006.
23. Z.-Q. Luo and W. Yu, "An introduction to convex optimization for communications and signal processing," IEEE J. on Sel. Areas in Comm., vol. 24, no. 8, pp. 1426-1438, 2006.
24. I. Pólik and T. Terlaky, "A survey of the S-Lemma," SIAM Review, vol. 49, no. 3, pp. 371-418, 2007.
25. M. Grant, S. Boyd, and Y. Ye, "CVX: Matlab software for disciplined convex programming, ver. 1.1." Available at www.stanford.edu/̃boyd/ cvx/, Nov. 2007.
26. K.-C. Toh, M. J. Todd, and R. H. Tutuncu, "SDPT3: Matlab software for semidefinite-quadratic-linear programming, ver. 4.0 (beta)." Available at www.math.nus.edu.sg/̃mattohkc/sdpt3.html, July 2006.