Robust linear MIMO in the downlink: A worst-case optimization with ellipsoidal uncertainty regions

Eurasip Journal on Advances in Signal Processing

Volumn 2008, Issue 1, 2008, Pages

  Zheng, Gan ^a   Wong, Kai Kit ^a   Ng, Tung Sang ^b  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

ANTENNAS; BEAMFORMING; COMMUNICATION CHANNELS (INFORMATION THEORY); CONVEX OPTIMIZATION; ITERATIVE METHODS; MIMO SYSTEMS; MULTIPATH PROPAGATION; OPTIMIZATION; POWER CONTROL; SIGNAL INTERFERENCE; SIGNAL TO NOISE RATIO; SPURIOUS SIGNAL NOISE;

CHANNEL STATE INFORMATION AT THE TRANSMITTERS; ELLIPSOIDAL UNCERTAINTIES; IMPERFECT CHANNEL STATE INFORMATION; MULTI-USER MIMO SYSTEMS; MULTIUSER MULTIPLE INPUT MULTIPLE OUTPUT (MIMO); ROBUST POWER ALLOCATION; SIGNAL TO INTERFERENCE PLUS NOISE RATIO; SINGLE-ANTENNA RECEIVERS;

CHANNEL STATE INFORMATION;

EID: 84976379512     PISSN: 16876172     EISSN: 16876180     Source Type: Journal    
DOI: 10.1155/2008/609028     Document Type: Article

References (46)

1. T. S. Rappaport, Wireless Communications: Principles and Practice, Prentice Hall, Upper Saddle River, NJ, USA, 1996.
2. G. J. Foschini and M. J. Gans, “On limits of wireless communications in a fading environment when using multiple antennas,” Wireless Personal Communications, vol. 6, no. 3, pp 311-335, 1998.
3. I. E. Telatar, “Capacity of multi-antenna Gaussian channels,” Tech. Rep., AT &T Bell Labs, Murray Hill, NJ, USA, 1995.
4. V. Tarokh, N. Seshadri, and A. R. Calderbank, “Space-time codes for high data rate wireless communication: performance criterion and code construction,” IEEE Transactions on Information Theory, vol. 44, no. 2, pp 744-765, 1998.
5. A. Goldsmith, S. A. Jafar, N. Jindal, and S. Vishwanath, “Capacity limits of MIMO channels,” IEEE Journal on Selected Areas in Communications, vol. 21, no. 5, PP 684-702, 2003.
6. S. M. Alamouti, “A simple transmit diversity technique for wireless communications,” IEEE Journal on Selected Areas in Communications, vol. 16, no. 8, PP 1451-1458, 1998.
7. G. G. Raleigh and J. M. Cioffi, “Spatio-temporal coding for wireless communication,” IEEE Transactions on Communications, vol. 46, no. 3, pp 357-366, 1998.
8. K.-K. Wong, R. S. K. Cheng, K. Ben Letaief, and R. D. Murch, “Adaptive antennas at the mobile and base stations in an OFDM/TDMA system,” IEEE Transactions on Communications, vol. 49, no. 1, PP 195-206, 2001.
9. M. Costa, “Writing on dirty paper,” IEEE Transactions on Information Theory, vol. 29, no. 3, PP 439-441, 1983.
10. H. Weingarten, Y. Steinberg, and S. Shamai, “The capacity region of the Gaussianmultiple-inputmultiple-output broadcast channel,” IEEE Transactions on Information Theory, vol. 52, no. 9, PP 3936-3964, 2006.
11. S. Vishwanath, N. Jindal, and A. Goldsmith, “Duality, achievable rates, and sum-rate capacity of Gaussian MIMO broadcast channels,” IEEE Transactions on Information Theory, vol. 49, no. 10, PP 2658-2668, 2003.
12. W. Yu and J. M. Cioffi, “Sum capacity of Gaussian vector broadcast channels,” IEEE Transactions on Information Theory, vol. 50, no. 9, PP 1875-1892, 2004.
13. F. Rashid-Farrokhi, K. J. R. Liu, and L. Tassiulas, “Transmit beamforming and power control for cellular wireless systems,” IEEE Journal on Selected Areas in Communications, vol. 16, no. 8, PP 1437-1450, 1998.
14. M. Bengtsson and B. Ottersten, “Optimal and suboptimal transmit beamforming,” in Handbook of Antennas in Wireless Communications, CRC Press, Boca Raton, Fla, USA, 2001.
15. K.-K. Wong, R. D. Murch, and K. B. Letaief, “Performance enhancement of multiuser MIMO wireless communication systems,” IEEE Transactions on Communications, vol. 50, no. 12, PP 1960-1970, 2002.
16. Z. Pan, K.-K. Wong, and T.-S. Ng, “Generalized multiuser orthogonal space-divisionmultiplexing,” IEEE Transactions on Wireless Communications, vol. 3, no. 6, PP 1969-1973, 2004.
17. G. Zheng, K.-K. Wong, and T.-S. Ng, “Convergence analysis of downlink MIMO antenna systems using second-order cone programming,” in Proceedings of the 62nd IEEE Vehicular Technology Conference (VTC ’05), vol. 1, pp 492-496, Dallas, Tex, USA, September 2005.
18. M. Schubert and H. Boche, “Solution of the multiuser downlink beamforming problem with individual SINR constraints,” IEEE Transactions on Vehicular Technology, vol. 53, no. 1, PP 18-28, 2004.
19. A. Wiesel, Y. C. Eldar, and S. Shamai, “Linear precoding via conic optimization for fixed MIMO receivers,” IEEE Transactions on Signal Processing, vol. 54, no. 1, PP 161-176, 2006.
20. J. Diaz, Z. Latinovic, and Y. Bar-Ness, “Impact of imperfect channel state information upon the outage capacity of Rayleigh fading channels,” in Proceedings of IEEE Global Telecommunications Conference (GLOBECOM ’04), vol. 2, pp 887-892, Dallas, Tex, USA, November-December 2004.
21. T. Yoo and A. Goldsmith, “Capacity and power allocation for fading MIMO channels with channel estimation error,” IEEE Transactions on Information Theory, vol. 52, no. 5, PP 2203-2214, 2006.
22. A. Vakili, M. Sharif, and B. Hassibi, “The effect of channel estimation error on the throughput of broadcast channels,” in Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP’06), vol. 4, pp 29-32, Toulouse, France, May 2006.
23. N. Jindal, “MIMO broadcast channels with finite-rate feedback,” IEEE Transactions on Information Theory, vol. 52, no. 11, pp 5045-5060, 2006.
24. H. Cox, R. M. Zeskind, and M. M. Owen, “Robust adaptive beamforming,” IEEE Transactions on Signal Processing, vol. 35, no. 10, PP 1365-1376, 1987.
25. K. L. Bell, Y. Ephraim, and H. L. Van Trees, “A Bayesian approach to robust adaptive beamforming,” IEEE Transactions on Signal Processing, vol. 48, no. 2, PP 386-398, 2000.
26. D. P. Palomar, A unified framework for communications through MIMO channels, Ph.D. dissertation, Technical University of Catalonia, Barcelona, Spain, May 2003.
27. A. Pascual-Iserte, D. P. Palomar, A. I. Pérez-Neira, and M. Á. Lagunas, “A robust maximin approach for MIMO communications with imperfect channel state information based on convex optimization,” IEEE Transactions on Signal Processing, vol. 54, no. 1, PP 346-360, 2006.
28. A. Wiesel, Y. C. Eldar, and S. Shamai, “Optimization of the MIMO compound capacity,” IEEE Transactions on Wireless Communications, vol. 6, no. 3, PP 1094-1101, 2007.
29. J. Wolfowitz, Coding Theorems of Information Theory, Springer, Berlin, Germany, 3rd edition, 1978.
30. S. A. Vorobyov, A. B. 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, no. 2, pp 313-324, 2003.
31. M. Biguesh, S. Shahbazpanahi, and A. B. Gershman, “Robust downlink power control in wireless cellular systems,” EURASIP Journal on Wireless Communications and Networking, vol. 2004, no. 2, PP 261-272, 2004.
32. M. Payar ó, Impact of channel state information on the analysis and design of multiantenna communicationv systems, Ph.D. dissertation, Technical University of Catalonia, Barcelona, Spain, February 2007.
33. M. Payar ó, A. Pascual-Iserte, and M. Á. Lagunas, “Robust power allocation designs for multiuser and multiantenna downlink communication systems through convex optimization,” IEEE Journal on Selected Areas in Communications, vol. 25, no 7, pp 1390-1401, 2007.
34. M. B. Shenouda and T. N. Davidson, “Linear matrix inequality formulations of robust QoS precoding for broadcast channels,” in Proceedings of the Canadian Conference on Electrical and Computer Engineering (CCECE’07), pp 324-328, Vancouver, Canada, April 2007.
35. M. B. Shenouda and T. N. Davidson, “Convex conic formulations of robust downlink precoder designs with quality of service constraints,” IEEE Journal on Selected Topics in Signal Processing, vol. 1, no. 4, pp 714-724, 2007.
36. A. L. Fradkov and V. A. Yakubovich, “The S-procedure and the duality relation in convex quadratic programming problems,” Vestnik Leningrad University: Mathematics, vol. 155, no. 1, PP 81-87, 1973.
37. S. Boyd and L. Vandenberghe, Convex Optimization, Cambridge University Press, Cambridge, UK, 2004.
38. W. Rhee, W. Yu, and J. Cioffi, “The optimality of beamforming in uplink multiuser wireless systems,” IEEE Transactions on Wireless Communications, vol. 3, no. 1, PP 86-96, 2004.
39. T. Yoo and A. Goldsmith, “On the optimality of multiantenna broadcast scheduling using zero-forcing beamforming,” IEEE Journal on Selected Areas in Communications, vol. 24, no. 3, PP 528-541, 2006.
40. A. Bayesteh and A. K. Khandani, “On the user selection for MIMO broadcast channels,” in Proceedings of IEEE International Symposium on Information Theory (ISIT’05), PP 2325-2329, Adelaide, Australia, September 2005.
41. F. Boccardi and H. Huang, “A near-optimum technique using linear precoding for the MIMO broadcast channel,” in Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP’07), vol. 3, pp 17-20, Honolulu, Hawaii, USA, April 2007.
42. D. Bertsimas and M. Sim, “Tractable approximations to robust conic optimization problems,” Mathematical Programming, vol. 107, no. 1-2, PP 5-36, 2006.
43. I. P ólik and T. Terlaky, “A survey of the S-lemma,” SIAM Review, vol. 49, no. 3, pp 371-418, 2007.
44. A. Ben-Tal and A. S. Nemirovskii, Lectures on Modern Convex Optimization, Society for Industrial and Applied Mathematics, Philadelphia, Pa, USA, 2001.
45. A. Beck and Y. C. Eldar, “Strong duality in nonconvex quadratic optimization with two quadratic constraints,” SIAM Journal on Optimization, vol. 17, no. 3, pp 844-860, 2006.
46. R. A. Monzingo and T. W. Miller, Introduction to Adaptive Arrays, John Wiley &Sons, New York, NY, USA, 1980.