Capacity of a multiple-antenna fading channel with a quantized precoding matrix

IEEE Transactions on Information Theory

Volumn 55, Issue 3, 2009, Pages 1218-1234

  Santipach, Wiroonsak ^a,b   Honig, Michael L ^a  

^a Northwestern University   (United States)

^b KASETSART UNIVERSITY   (Thailand)

Author keywords

Beamforming; Large system analysis; Limited feedback; Multiple input multiple output (MIMO); Precoding; Vector quantization

Indexed keywords

ASYMPTOTIC ANALYSIS; BEAMFORMING; CONTROL THEORY; FADING (RADIO); FADING CHANNELS; FEEDBACK; MEAN SQUARE ERROR; MIM DEVICES; MULTIPLEXING; OPTIMIZATION; PATTERN MATCHING; POWER CONTROL; RECEIVING ANTENNAS; SPECTRUM ANALYZERS; SYSTEMS ANALYSIS;

ASYMPTOTIC RATES; ASYMPTOTICALLY OPTIMAL; CODEBOOK; CODEBOOK INDEXES; FINITE-SIZE SYSTEMS; LARGE SYSTEM ANALYSIS; LARGE SYSTEMS; LIMITED FEEDBACK; LINEAR RECEIVERS; MATCHED FILTERS; MINIMUM MEAN-SQUARED ERRORS; MMSE RECEIVERS; MULTIPLE ANTENNAS; MULTIPLE-INPUT MULTIPLE-OUTPUT (MIMO); MULTIPLE-INPUT MULTIPLE-OUTPUT CHANNELS; NUMERICAL EXAMPLES; OPTIMAL RECEIVERS; PRECODER; PRECODING; PRECODING MATRIXES; QUANTIZATION SCHEMES; QUANTIZED PRECODING; RECEIVE ANTENNAS; SPECTRAL EFFICIENCIES; TRANSMIT PRECODING;

VECTOR QUANTIZATION;

EID: 62749191475     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2008.2011437     Document Type: Article

References (47)

1. 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. Select. Areas Commun., vol. 16, no. 8, pp. 1423-1436, Oct. 1998.
2. 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.
3. D. J. Love and R. W. Heath, Jr., "Grassmannian beamforming for multiple-input multiple-output wireless systems," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2735-2745, Oct. 2003.
4. D. J. Love and R. W. Heath, Jr., "Limited feedback unitary precoding for spatial multiplexing systems," IEEE Trans. Inf. Theory, vol. 51, no. 8, pp. 2967-2976, Aug. 2005.
5. V. K. N. Lau, Y. Liu, and T.-A. Chen, "On the design of MIMO blockfading channels with feedback-link capacity constraint," IEEE Trans. Commun., vol. 52, no. 1, pp. 62-70, Jan. 2004.
6. J. C. Roh and B. D. Rao, "Transmit beamforming in multiple-antenna systems with finite rate feedback: A VQ-based approach," IEEE Trans. Inf. Theory, vol. 52, no. 3, pp. 1101-1112, Mar. 2006.
7. J. C. Roh and B. D. Rao, "Design and analysis of MIMO spatial multiplexing systems with quantized feedback," IEEE Trans. Signal Process., vol. 54, no. 8, pp. 2874-2886, Aug. 2006.
8. W. Dai, Y. Liu, V. K. N. Lau, and B. Rider, "On the information rate of MIMO systems with finite rate channel state feedback and power on/off strategy," in Proc. IEEE Int. Symp. Information Theory (ISIT), Adelaide, Australia, Sep. 2005, pp. 1549-1553.
9. W. Dai, Y. Liu, and B. Rider, "Quantization bounds on Grassmann manifolds and applications to MIMO communications," IEEE Trans. Inf. Theory, vol. 54, no. 3, pp. 1108-1123, Mar. 2008.
10. 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.
11. P. Xia 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 2006.
12. K. K. Mukkavilli, A. Sabharwal, and B. Aazhang, "Generalized beamforming for MIMO systems with limited transmitter information," in Proc. Asilomar Conf. Signals, Systems, and Computers, Pacific Grove, CA, Nov. 2003, vol. 1, pp. 1052-1056.
13. G. Jöngren, M. Skoglund, and B. Ottersten, "Combining beamforming and orthogonal space-time block coding," IEEE Trans. Inf. Theory, vol. 48, no. 3, pp. 611-625, Mar. 2002.
14. M. Skoglund and G. Jöngren, "On the capacity of a multiple-antenna communication link with channel side information," IEEE J. Select. Areas Commun., vol. 21, no. 3, pp. 395-405, Apr. 2003.
15. 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.
16. S. Zhou and G. B. Giannakis, "Optimal transmitter eigen-beamforming and space-time block coding based on channel mean feedback," IEEE Trans. Signal Process., vol. 50, no. 10, pp. 2599-2613, Oct. 2003.
17. S. H. Simon and A. L. Moustakas, "Optimizing MIMO antenna systems with channel covariance feedback," IEEE J. Select. Areas Commun., vol. 21, no. 3, pp. 406-417, Apr. 2003.
18. S. A. Jafar and A. J. Goldsmith, "Transmitter optimization and optimality of beamforming for multiple antenna systems," IEEE Trans. Wireless Commun., vol. 3, no. 4, pp. 1165-1175, Jul. 2004.
19. P. Zador, "Asymptotic quantization error of continuous signals and the quantization dimension," IEEE Trans. Inf. Theory, vol. IT-28, no. 2, pp. 139-149, Mar. 1982.
20. R. M. Gray and D. L. Neuhoff, "Quantization," IEEE Trans. Inf. Theory, vol. 44, no. 6, pp. 2325-2383, Oct. 1998.
21. W. Santipach and M. L. Honig, "Signature optimization for CDMA with limited feedback," IEEE Trans. Inf. Theory, vol. 51, no. 10, pp. 3475-3492, Oct. 2005.
22. D. J. Love, R. W. Heath, Jr., W. Santipach, and M. L. Honig, "What is the value of limited feedback for MIMO channels?," IEEE Commun. Mag. vol. 42, no. 10, pp. 54-59, Oct. 2004.
23. S. Bhashyam, A. Sabharwal, and B. Aazhang, "Feedback gain in multiple antenna systems," IEEE Trans. Commun., vol. 50, no. 5, pp. 785-798, May 2002.
24. V. K. N. Lau, Y. Liu, and T.-A. Chen, "Role of transmit diversity for wireless communications - Reverse link analysis with partial feedback," IEEE Trans. Commun., vol. 50, no. 12, pp. 2082-2090, Dec. 2002.
25. C. K. Au-Yeung and D. J. Love, "On the performance of random vector quantization limited feedback beamforming," IEEE Trans. Wireless Commun., vol. 6, no. 2, pp. 458-462, Feb. 2005.
26. N. Jindal, "MIMO broadcast channels with finite-rate feedback," IEEE Trans. Inf. Theory, vol. 52, no. 11, pp. 5045-5060, Nov. 2006.
27. T. Yoo, N. Jindal, and A. Goldsmith, "Multi-antenna downlink channels with limited feedback and user selection," IEEE J. Sel. Areas Commun., vol. 25, no. 7, pp. 1478-1491, Sep. 2007.
28. M. Sharif and B. Hassibi, "On the capacity of MIMO broadcast channel with partial side information," IEEE Trans. Inf. Theory, vol. 51, no. 2, pp. 506-522, Feb. 2005.
29. P. Viswanath, D. N. C. Tse, and R. Laroia, "Opportunistic beamforming using dumb antennas," IEEE Trans. Inf. Theory, vol. 48, no. 6, pp. 1277-1294, Jun. 2002.
30. D. N. C. Tse and O. Zeitouni, "Linear multiuser receivers in random environments," IEEE Trans. Inf. Theory, vol. 46, no. 1, pp. 171-188, Jan. 2000.
31. L. Zheng and D. N. C. Tse, "Diversity and multiplexing: A fundamental tradeoff in multiple-antenna channels," IEEE Trans. Inf. Theory, vol. 49, no. 5, pp. 1073-1096, May 2003.
32. J. Galambos, The Asymptotic Theory of Extreme Order Statistics, 2nd ed. Malabar, FL: Robert E. Krieger, 1987.
33. V. A. Marčenko and L. A. Pastur, "Distribution of eigenvalues for some sets of random matrices," Math. USSR-Sbornik, vol. 1, pp. 457-483, 1967.
34. W. Dai, Y. Liu, and B. Rider, "Performance analysis of CDMA signature optimization with finite rate feedback," in Proc. Conf. Information Sciences and Systems (CISS), Princeton, NJ, Mar. 2006.
35. I. E. Telatar, "Capacity of multi-antenna Gaussian channels," Europ. Trans. Telecommun., vol. 10, pp. 585-595, Nov. 1999.
36. P. B. Rapajic and D. Popescu, "Information capacity of a random signature multiple-input multiple-output channel," IEEE Trans. Commun., vol. 48, no. 8, pp. 1245-1248, Aug. 2000.
37. Z. D. Bai and J. W. Silverstein, "CLT for linear spectral statistics of large dimensional sample covariance matrices," Ann. Probab., vol. 32, no. 1A, pp. 553-605, 2004.
38. W. Santipach and M. L. Honig, "Signature optimization for DS-CDMA with limited feedback," in Proc. IEEE Int. Symp. Spread-Spectrum Techniques and Applications (ISSSTA), Prague, Czech Republic, Sep. 2002, pp. 180-184.
39. D. J. Ryan, I. V. L. Clarkson, I. B. Collings, D. Guo, and M. L. Honig, "QAM and PSK codebooks for limited feedback MIMO beamforming," IEEE Trans. Commun., vol. 57, no. 2, Feb. 2009.
40. V. Raghavan, R. W. Heath, Jr., and A. M. Sayeed, "Systematic codebook designs for quantized beamforming in correlated MIMO channels," IEEE J. Select. Areas Commun., vol. 25, no. 7, pp. 1298-1310, Sep. 2006.
41. W. Santipach and M. L. Honig, "Capacity of beamforming with limited training and feedback," in Proc. IEEE Int. Symp. Information Theory (ISIT), Seattle, WA, July 2006, pp. 376-380.
42. W. Santipach and M. L. Honig, "Optimization of training and feedback for beamforming over a MIMO channel," in Proc. IEEE Wireless Communication and Networking Conf. (WCNC), Hong Kong, China, Mar. 2007.
43. Y. Sun and M. L. Honig, "Asymptotic capacity of multicarrier transmission with frequency-selective fading and limited feedback," IEEE Trans. Inf. Theory, vol. 54, no. 7, pp. 2879-2902, Jul. 2008.
44. E. Castillo, Extreme Value Theory in Engineering.. New York: Academic, 1988.
45. A. Shwartz and A. Weiss, Large Deviations for Performance Analysis. Queues, Communications, and Computing.. London, U.K.: Chapman & Hall, 1995.
46. J. K. Patel and C. B. Read, Handbook of the Normal Distribution, ser. Statistics: A Series of Textbooks and Monographs, 2nd ed. New York: Marcel Dekker, 1996.
47. C. G. Khatri and K. C. S. Pillai, "Some results on the non-central multivariate Beta distribution and moments of traces of two matrices," Ann. Math. Statist., vol. 36, no. 5, pp. 1511-1520, Oct. 1965.