On the optimality of beamforming with quantized feedback

IEEE Transactions on Communications

Volumn 55, Issue 12, 2007, Pages 2288-2302

  Jafar, Syed Ali ^a   Srinivasa, Sudhir ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Beamforming; Ergodic capacity; Multiple input; Multiple output (MIMO) channels; Partial limited feedback; Quantized feedback

Indexed keywords

ERGODIC CAPACITY; MULTIPLE-INPUT; MULTIPLE-OUTPUT (MIMO) CHANNELS; PARTIAL/LIMITED FEEDBACK; QUANTIZED FEEDBACK;

FADING CHANNELS; MULTIPLEXING; RAYLEIGH FADING; RECEIVING ANTENNAS; VECTORS;

BEAMFORMING;

EID: 52949122390     PISSN: 00906778     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCOMM.2007.910697     Document Type: Article

References (37)

1. I. Emre Telatar, "Capacity of multi-antenna Gaussian channels," Eur. Trans. Telecom, vol. 10, pp. 585-596, Nov. 1999.
2. A. Narula, M. J. Lopez, M. D. Trott, and G. W. Wornell, "Efficient use of side information in multiple antenna data transmission over fading channels," IEEE J. Sel. Areas Commun., vol. 16, no. 8, pp. 1423-1436, Oct. 1998.
3. E. Visotsky and U. Madhow, "Space-time transmit precoding with imperfect feedback," IEEE Trans. Inf. Theory, vol. 47, no. 6, pp. 2632-2639, Sep. 2001.
4. S. A. Jafar and A. J. Goldsmith, "On optimality of beamforming for multiple antenna systems with imperfect feedback," in Proc. IEEE Int. Symp. Inf. Theory, Jun. 2001, vol. 1, p. 321.
5. S. A. Jafar and A. J. Goldsmith, "Transmitter optimization and optimality of beamforming for multiple antenna systems with imperfect feedback," IEEE Trans. Wireless Commun., vol. 3, no. 4, pp. 1165-1175, Jul. 2004.
6. S. A. Jafar, S. Vishwanath, and A. J. Goldsmith, "Channel capacity and beamforming for multiple transmit and receive antennas with covariance feedback," in Proc. IEEE Int. Conf. Commun., Jun. 2001, vol. 7, pp. 2266-2270.
7. S. H. Simon and A. Moustakas, "Optimality of beamforming in multiple transmitter multiple receiver communication systems with partial channel knowledge," in Proc. DIMACS Workshop Signal Process. Wireless Commun., Oct. 2002, pp. 1-11.
8. A. Moustakas and S. H. Simon, "Optimizing multi-transmitter single-receiver MISO antenna systems with partial channel knowledge," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2770-2780, Oct. 2003.
9. Y. Xie, C. N. Georghiades, and A. Arapostathis, "Minimum outage probability transmission with imperfect feedback for MISO fading channels," IEEE Trans. Wireless Commun., vol. 4, no. 3, pp. 1084-1091, May 2005.
10. H. Boche and E. A. Jorswieck, "Optimal transmit strategies for MIMO systems with partial channel state information," in Proc. SPIE Int. Symp., Jul. 29-Aug. 1, 2002, pp. 73-84.
11. E. A. Jorswieck and H. Boche, "Channel capacity and capacity-range of beamforming in MIMO wireless systems under correlated fading with covariance feedback," IEEE Trans. Wireless Commun., vol. 3, no. 5, pp. 1543-1553, Sep. 2004.
12. S. A. Jafar and A. J. Goldsmith, "Isotropic fading vector broadcast channels: The scalar upperbound and loss in degrees of freedom," IEEE Trans. Inf. Theory, vol. 51, no. 3, pp. 848-857, Mar. 2005.
13. S. Srinivasa and S. A. Jafar, "Capacity of the isotropic fading multiple antenna downlink with magnitude feedback," in Proc. IEEE Veh. Technol. Conf., vol. 3, Sep. 2004, pp. 2001-2005.
14. K. K. Mukkavilli, A. Sabharwal, E. Erkip, and B. Aazhang, "On beamforming with finite rate feedback in multiple antenna systems," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2562-2579, Oct. 2003.
15. D. J. Love, R. W. Heath Jr., and T. Strohmer, "Grassmannian beamforming for multiple-input multiple-output wireless systems," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2735-2747, Oct. 2003.
16. D. J. Love and R. W. Heath, Jr., "Grassmannian beamforming on correlated MIMO channels," in IEEE Global Commun. Conf., vol. 1, Nov. 28-Dec. 2, 2004, pp. 106-110.
17. P. Xia, S. Zhou, and G. B. Giannakis, "Design and analysis of transmit beamforming based on limited-rate feedback," IEEE Trans. Signal Process., vol. 54, no. 5, pp. 1853-1863, May 2005.
18. P. Xia, S. Zhou, and G. B. Giannakis, "Achieving the Welch bound with difference sets," IEEE Trans. Inf. Theory, vol. 51, no. 5, pp. 1900-1907, May 2005.
19. S. Zhou, Z. Wang, and G. B. Giannakis, "Quantifying the power-loss when transmit-beamforming relies on finite rate feedback," IEEE Trans. Wireless Commun., vol. 4, no. 4, pp. 1948-1957, Jul. 2005.
20. V. K. N. Lau, Y. Liu, and T.-A. Chen, "Capacity of memoryless channels and block-fading channels with designable cardinality-constrained channel state feedback," IEEE Trans. Inf. Theory, vol. 50, no. 9, pp. 2038-2049, Sep. 2004.
21. S. A. Jafar and S. Srinivasa, "Capacity of the isotropic fading vector channel with quantized channel direction feedback," in Proc. Asilomar Conf. Signals, Syst. Comput., Nov. 2004, vol. 1, pp. 1178-1182.
22. S. Srinivasa and S. A. Jafar, "Vector channel capacity with quantized feedback," in Proc. IEEE Int. Conf. Commun., May 2005, vol. 4, pp. 2674-2678.
23. S. Srinivasa and S. A. Jafar, "The optimality of beamforming: A unified view," IEEE Trans. Inf. Theory, vol. 53, no. 4, pp. 1558-1564, Apr. 2007.
24. S. Srinivasa, S. A. Jafar, and S. Vishwanath, "Does beamforming achieve outage capacity with direction feedback?," in Proc. Commun. Theory Workshop, Jun. 2005.
25. J. C. Roh and B. D. Rao, "Performance analysis of multiple antenna systems with VQ-based feedback," in Proc. Asilomar Conf. Signals, Syst. Comput., Nov. 2004, vol. 2, pp. 1978-1982.
26. J. C. Roh and B. D. Rao, "Vector quantization techniques for multiple-antenna channel information feedback," in Int. Conf. Signal Process. Commun., Dec. 2004, pp. 402-406.
27. S. A. Jafar and A. J. Goldsmith, "On the capacity region of the vector fading broadcast channel with no CSIT," in Proc. IEEE Int. Conf. Commun., Jun. 2004, vol. 1, pp. 468-472.
28. T. Marzetta and B. Hochwald, "Capacity of a mobile multiple-antenna communication link in Rayleigh flat fading," IEEE Trans. Inf. Theory vol. 45, no. 1, pp. 139-157, Jan. 1999.
29. J. H. Conway, R. H. Hardin, and N. J. A. Sloane, "Packing lines, planes, etc., packings in Grassmannian spaces," Exp. Math., vol. 5, pp. 139-159, 1996.
30. A. Gersho and R. M. Gray, Vector Quantization and Signal Compression Norwell, MA: Kluwer, 1992.
31. N. J. A. Sloane. (1997, Jan.) Table of best Grassmannian packings [Online]. Available: http://www.research.att.com/~ynjas/grass/ grassTab.html.
32. D. J. Love. (2003, Nov.) Grassmannian packings in complex space [Online]. Available: http://dynamo.ecn.purdue.edu/~djlove/grass.html.
33. P. Xia. (2004, Nov.). Designing good beamformer codebooks [Online]. Available: http://www.ece.umn.edu/users/pfxia/codebook/
34. G. Caire and S. Shamai, "On the capacity of some channels with channel state information," IEEE Trans. Inf. Theory, vol. 45, no. 6, pp. 2007-2019, Sep. 1999.
35. S. A. Jafar, "Too much mobility limits the capacity of wireless ad hoc networks," IEEE Trans. Inf. Theory, vol. 51, no. 11, pp. 3954-3965, Nov. 2005.
36. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge, U.K.: Cambridge Univ. Press, 2004.
37. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products. New York: Academic, 2000.