Limited feedback beamforming over temporally-correlated channels

IEEE Transactions on Signal Processing

Volumn 57, Issue 5, 2009, Pages 1959-1975

  Huang, Kaibin ^a,b   Heath Jr , Robert W ^a   Andrews, Jeffrey G ^a  

^a The University of Texas at Austin   (United States)

^b Yonsei University   (South Korea)

Author keywords

Array signal processing; Doppler effect; Feedback communication; Markov processes; Time varying channels; Vector quantization

Indexed keywords

ANALYTICAL RESULTS; ARRAY SIGNAL PROCESSING; BIT RATES; BLOCK FADING CHANNEL MODELS; CONVERGENCE RATES; CORRELATED CHANNELS; CSI FEEDBACK; FEEDBACK COMMUNICATION; FEEDBACK DELAY; FINITE-STATE; FIRST-ORDER; INFORMATION RATES; LIMITED FEEDBACK; MARKOV CHAIN; MULTIPLE-INPUT - MULTIPLE OUTPUT WIRELESS SYSTEMS; QUANTIZED CHANNEL STATE; QUANTIZER; SINGLE USERS; TEMPORAL CORRELATIONS; TIME-VARYING CHANNELS; TRANSMIT BEAMFORMING; WIRELESS CHANNEL; WIRELESS COMMUNICATION STANDARDS;

BEAMFORMING; CHANNEL STATE INFORMATION; COMMUNICATION CHANNELS (INFORMATION THEORY); DOPPLER EFFECT; FADING (RADIO); FADING CHANNELS; MARKOV PROCESSES; SIGNAL PROCESSING; TIME VARYING NETWORKS; TIME VARYING SYSTEMS; VECTOR QUANTIZATION; WAVES;

STATE FEEDBACK;

EID: 65649116192     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2009.2014272     Document Type: Article

References (66)

1. D. J. Love, R. W. Heath, V. K. N. Lau, D. Gesbert, B. D. Rao, and M. Andrews, "An overview of limited feedback in wireless communication systems," IEEE J. Sel. Areas Commun., vol. 26, no. 8, pp. 1341-1365, Oct. 2008.
2. A. Goldsmith, Wireless Communications.. Cambridge, U.K.: Cambridge Univ. Press, 2005.
3. A. Gersho and R. M. Gray, Vector Quantization and Signal Compression. Norwell, MA: Kluwer, 1992.
4. 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.
5. 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.
6. J. C. Roh and B. D. Rao, "Efficient feedback methods for MIMO channels based on parameterization," IEEE Trans. Wireless Commun., vol. 6, no. 1, pp. 282-292, Jan. 2007.
7. J. Choi, B. Mondal, and R. W. H., Jr., "Interpolation based unitary precoding for spatial multiplexing MIMO-OFDM with limited feedback," IEEE Trans. Signal Process., vol. 54, no. 12, pp. 4730-4740, Dec. 2006.
8. 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.
9. V. K. N. Lau, Y. Liu, and T.-A. Chen, "On the design of MIMO block-fading channels with feedback-link capacity constraint," IEEE Trans. Commun., vol. 52, no. 1, pp. 62-70, Jan. 2004.
10. D. J. Love and R. W. Heath, Jr., "Limited feedback unitary precoding for orthogonal space-time block codes," IEEE Trans. Signal Process. vol. 53, no. 1, pp. 64-73, Jan. 2005.
11. 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. 1967-1976, Aug. 2005.
12. D. Gesbert, M. Kountouris, R. W. H., Jr., C.-B. Chae, and T. Salzer, "From single user to multiuser communications: Shifting the MIMO paradigm," IEEE Signal Process. Mag., vol. 24, no. 5, pp. 36-46, Sep. 2007.
13. B. C. Banister and J. R. Zeidler, "Feedback assisted transmission subspace tracking for MIMO systems," IEEE J. Sel. Areas Commun., vol. 21, no. 3, pp. 452-463, Apr. 2003.
14. C. Simon and G. Leus, "Feedback reduction for spatial multiplexing with linear precoding," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing (ICASSP), Apr. 2007, vol. 3, pp. III-33-III-36.
15. K. Huang, B. Mondal, R. W. Heath, Jr., and J. G. Andrews, "Markov models for multi-antenna limited feedback systems," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing (ICASSP), May 2006, pp. IV-9-IV-12.
16. R. Gallager, Information Theory and Reliable Communication.. New York: Wiley, 1968.
17. 3GPP TR 25.814: Physical Layer Aspects for Evolved Universal Terrestrial Radio Access (Release 7),, Jun. 2006 [Online]. Available: http://www.3gpp.org/
18. IEEE 802.16e Amendment: Physical and Medium Access Control Layers for Combined Fixed and Mobile Operation in Licensed Bands, IEEE Standard 802.16, 2005.
19. Y. Isukapalli and B. D. Rao, "Finite rate feedback for spatially and temporally correlated MISO channels in the presence of estimation errors and feedback delay," in Proc. IEEE GLOBECOM, Nov. 2007, pp. 2791-2795.
20. S. H. Ting, K. Sakaguchi, and K. Araki, "A Markov-Kronecker model for analysis of closed-loop MIMO systems," IEEE Commun. Lett., vol. 10, pp. 617-619, Aug. 2006.
21. E. Au, S. Jin, M. R. McKay, W. Mow, X. Gao, and I. B. Collings, "Analytical performance of MIMO-SVD systems in Ricean fading channels with channel estimation error and feedback delay," IEEE Trans. Commun., vol. 7, no. 4, pp. 1315-1325, Apr. 2008.
22. H. T. Nguyen, J. B. Andersen, and G. F. Pedersen, "Capacity and performance of MIMO systems under the impact of feedback delay," in Proc. IEEE PIMRC, Sep. 2004, vol. 1, pp. 53-57.
23. J. Du, Y. Li, D. Gu, A. F. Molisch, and J. Zhang, "Estimation of performance loss due to delay in channel feedback in MIMO systems," in Proc. IEEE Veh. Technology Conf., Sep. 2004, vol. 3, pp. 1619-1622.
24. P.-H. Kuo, P. J. Smith, L. M. Garth, and M. Shafi, "Instantaneous signal and self-interference power of MIMO eigenmode transmission with feedback time delay," in Proc. IEEE Int. Conf. Communications, Jun. 2006, vol. 9, pp. 4143-4148.
25. K. Kobayashi, T. Ohtsuki, and T. Kaneko, "MIMO systems in the presence of feedback delay," in Proc. IEEE Int. Conf. Communications, Jun. 2006, vol. 9, pp. 4102-4106.
26. A. Duel-Hallen, "Fading channel prediction for mobile radio adaptive transmission systems," Proc. IEEE, vol. 95, pp. 2299-2313, Dec. 2007.
27. R. C. Daniels, K. Mandke, K. Truong, S. Nettles, and R. W. H., Jr., "Throughput and delay measurements of limited feedback beamforming for indoor wireless networks," 2008 [Online]. Available: http:// users.ece.utexas.edu/~rdaniels/, Preprint
28. H. Wang and N. Moayeri, "Finite-state Markov channel - A useful model for radio communication channels," IEEE Trans. Veh. Technol., vol. 44, no. 1, pp. 163-71, Feb. 1995.
29. C. Pimentel, T. H. Falk, and L. Lisboa, "Finite-state Markov modeling of correlated Rician-fading channels," IEEE Trans. Veh. Technol., vol. 53, no. 5, pp. 1491-1501, Sep. 2004.
30. C. C. Tan and N. C. Beaulieu, "On first-order Markov modeling for the Rayleigh fading channel," IEEE Trans. Commun., vol. 48, no. 12, pp. 2032-2040, Dec. 2000.
31. Q. Zhang and S. A. Kassam, "Finite-state Markov model for Rayleigh fading channels," IEEE Trans. Commun., vol. 47, no. 11, pp. 1688-1692, Nov. 1999.
32. F. Babich, O. E. Kelly, and G. Lombardi, "Generalized Markov modeling for flat fading," IEEE Trans. Commun., vol. 48, no. 4, pp. 547-551, Apr. 2000.
33. F. Babich, G. Lombardi, and E. Valentinuzzi, "Variable order Markov modelling for LEO mobile satellite channels," Electron. Lett., vol. 35, pp. 621-623, Apr. 1999.
34. A. Chen and R. R. Rao, "On tractable wireless channel models," in Proc. IEEE PIMRC, Sep. 1998, vol. 2, pp. 825-830.
35. A. Saadani, P. Gelpi, and P. Tortelier, "A variable-order Markov chain based model for Rayleigh fading and RAKE receiver," IEEE Signal Process. Lett., vol. 11, no. 3, pp. 356-358, Mar. 2004.
36. Y. L. Guan and L. F. Turner, "Generalised FSMC model for radio channels with correlated fading," in Proc. Inst. Electr. Eng. - Comm., Apr. 1999, vol. 146, pp. 133-137.
37. H. Wang and P. Chang, "On verifying the first-order Markovian assumption for a Rayleigh fading channel model," IEEE Trans. Veh. Technol., vol. 45, no. 2, pp. 353-357, May 1996.
38. P. Sadeghi and P. Rapajic, "Capacity analysis for finite-state Markov mapping of flat-fading channels," IEEE Trans. Commun., vol. 53, no. 5, pp. 833-840, May 2005.
39. H. Bischl and E. Lutz, "Packet error rate in the non-interleaved Rayleigh channel," IEEE Trans. Commun., vol. 43, no. 234, pp. 1375-1382, Feb./Mar./Apr. 1995.
40. M. R. Hueda and C. E. Rodriguez, "A new information theoretic test of the Markov property of block errors in fading channels," IEEE Trans. Veh. Technol., vol. 54, no. 2, pp. 425-434, Mar. 2005.
41. L. Galluccio, F. Licandro, G. Morabito, and G. Schembra, "An analytical framework for the design of intelligent algorithms for adaptive-rate MPEG video encoding in next-generation time-varying wireless networks," IEEE J. Sel. Areas Commun., vol. 23, no. 2, pp. 369-384, Feb. 2005.
42. W. Turin, "MAP symbol decoding in channels with error bursts," IEEE Trans. Inf. Theory, vol. 47, no. 5, pp. 1832-1838, Jul. 2001.
43. J. Razavilar, K. J. R. Liu, and S. I. Marcus, "Jointly optimized bit-rate or delay control policy for wireless packet networks with fading channels," IEEE Trans. Commun., vol. 50, no. 3, pp. 484-494, Mar. 2002.
44. R. Buche and H. J. Kushner, "Control of mobile communications with time-varying channels in heavy traffic," IEEE Trans. Autom. Control vol. 47, no. 6, pp. 992-1003, Jun. 2002.
45. J. Yun and M. Kavehrad, "Markov error structure for throughput analysis of adaptive modulation systems combined with ARQ over correlated fading channels," IEEE Trans. Veh. Technol., vol. 54, no. 1, pp. 235-245, Jan. 2005.
46. L. Li and A. J. Goldsmith, "Low-complexity maximum-likelihood detection of coded signals sent over finite-state Markov channels," IEEE Trans. Commun., vol. 50, no. 4, pp. 524-531, Apr. 2002.
47. P. Ivanis, D. Drajic, and B. Vucetic, "Performance evaluation of adaptive MIMO-MRC systems with imperfect CSI by a Markov model," in Proc. IEEE Veh. Technology Conf., Apr. 2007, pp. 1496-1500.
48. P.-H. Kuo, P. J. Smith, and L. M. Garth, "A Markov model for MIMO channel condition number with application to dual-mode antenna selection," in Proc. IEEE Veh. Technology Conf., Apr. 2007, pp. 471-475.
49. A. Abdi, C. Gao, and A. M. Haimovich, "Level crossing rate and average fade duration in MIMO mobile fading channels," in Proc. IEEE Veh. Technology Conf., Oct. 2003, vol. 5, pp. 3164-68.
50. T. Tang and R. W. Heath, Jr., "Opportunistic feedback for downlink multiuser diversity," IEEE Commun. Lett., vol. 9, no. 10, pp. 948-950, Oct. 2005.
51. K. Huang, B. Mondal, R. W. Heath, Jr., and J. G. Andrews, "Effect of feedback delay on multi-antenna limited feedback for temporally correlated channel," in Proc. IEEE GLOBECOM, San Francisco, CA, Nov. 27-Dec. 1, 2006.
52. K. Huang, B. Mondal, R. W. Heath, Jr., and J. G. Andrews, "Multi-antenna limited feedback for temporally correlated channel: Feedback compression," in Proc. IEEE GLOBECOM, Nov. 2006.
53. R. Gallager, Discrete Stochastic Processes. New York: Springer, 1995.
54. T. Yoo, N. Jindal, and A. Goldsmith, "Multi-antenna broadcast channels with limited feedback and user selection," IEEE J. Sel. Areas Commun., vol. 25, no. 7, pp. 1478-1491, Jul. 2007.
55. K.-B. Huang, J. G. Andrews, and R. W. Heath, Jr., "Performance of orthogonal beamforming for SDMA systems with limited feedback," IEEE Trans. Veh. Technol., to be published.
56. J. W. C. Jakes, Microwave Mobile Communications. New York: Willey, 1974.
57. P. Bremaud, Markov Chains. New York: Springer, 1999.
58. L. H. Ozarow, S. Shamai, and A. D. Wyner, "Information theoretic considerations for cellular mobile radio," IEEE Trans. Veh. Technol. vol. 43, no. 2, pp. 359-378, May 1994.
59. B. Mondal, S. Dutta, and R. W. H., Jr., "Quantization on the Grassmann manifold," IEEE Trans. Signal Process., vol. 55, no. 8, pp. 4208-4216, Aug. 2007.
60. A. Paulraj, R. Nabar, and D. Gore, Introduction to Space-Time Wireless Communications. Cambridge, U.K.: Cambridge Univ. Press, 2003.
61. J. A. Fill, "Eigenvalue bounds on convergence to stationarity for non-reversible Markov chain, with an application to the exclusion process," Ann. Appl. Probab., vol. 1, pp. 62-87, Jan. 1991.
62. J. S. Rosenthal, "Markov chain convergence: From finite to infinite," Stoch. Process. Appl., vol. 62, pp. 55-72, 1996.
63. A. van Zelst and J. S. Hammerschmidt, "A single coefficient spatial correlation model for MIMO radio channels," in Proc. 27th General Assembly URSI, Maastricht, The Netherlands, Aug. 17-24, 2002.
64. N. Jindal, "MIMO broadcast channels with finite-rate feedback," IEEE Trans. Inf. Theory, vol. 52, no. 11, pp. 5045-5060, Nov. 2006.
65. J. G. Andrews, A. Ghosh, and R. Muhamed, Fundamentals of WiMAX: Understanding Broadband Wireless Networking. Englewood Cliffs, NJ: Prentice-Hall, 2007.
66. E. N. Onggosanusi, A. Gatherer, A. G. Dabak, and S. Hosur, "Performance analysis of closed-loop transmit diversity in the presence of feedback delay," IEEE Trans. Commun., vol. 49, no. 9, pp. 1618-1630, Sep. 2001.