Sublinear capacity scaling laws for sparse MIMO channels

IEEE Transactions on Information Theory

Volumn 57, Issue 1, 2011, Pages 345-364

  Raghavan, Vasanthan ^a,b   Sayeed, Akbar M ^a  

^a University of Wisconsin Madison   (United States)

^b UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Antenna arrays; correlation; fading channels; information rates; multiple inputmultiple output (MIMO) systems; random matrix theory; reconfigurable arrays; sparse systems

Indexed keywords

CORRELATION; INFORMATION RATES; MULTIPLE-INPUTMULTIPLE- OUTPUTS; RANDOM MATRIX THEORY; RECONFIGURABLE ARRAY; SPARSE SYSTEMS;

ANTENNA ARRAYS; FADING (RADIO); MATRIX ALGEBRA; TRANSMITTERS;

FADING CHANNELS;

EID: 78650858051     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2010.2090255     Document Type: Article

References (89)

1. Í. E. Telatar, "Capacity of multi-antenna Gaussian channels," Eur. Trans. Telecommun., vol. 10, pp. 585-596, Nov. 1999.
2. G. J. Foschini and M. J. Gans, "On limits of wireless communications in a fading environment when using multiple antennas," Wireless Personal Commun., vol. 6, no. 3, pp. 311-335, Mar. 1998.
3. D. Gesbert, H. Bolcskei, D. A. Gore, and A. J. Paulraj, "OutdoorMIMO wireless channels: Models and performance prediction," IEEE Trans. Commun., vol. 50, no. 12, pp. 1926-1934, Dec. 2002.
4. C.-N. Chuah, J. M. Kahn, and D. N. C. Tse, "Capacity scaling in MIMO wireless systems under correlated fading," IEEE Trans. Inf. Theory, vol. 48, no. 3, pp. 637-650, Mar. 2002.
5. B. Razavi, RF Microelectronics. Upper Saddle River, NJ: Prentice- Hall, 1998.
6. S. Ahmadi, "An overview of next-generation mobile WiMAX technology," IEEE Commun. Mag., vol. 47, no. 6, pp. 84-98, Jun. 2009.
7. D. Cabric, M. S. W. Chen, D. A. Sobel, S. Wang, J. Yang, and R. W. Brodersen, "Novel radio architectures for UWB, 60 GHz, and cognitive wireless systems," EURASIP J. Wireless Commun. Netw., vol. 2006, pp. 1-18, Jan. 2006, Article ID 17957.
8. C. H. Doan, S. Emami, D. A. Sobel, A. M. Niknejad, and R. W. Brodersen, "Design considerations for 60 GHz CMOS radios," IEEE Commun. Mag., vol. 42, no. 12, pp. 132-140, Dec. 2004.
9. S. K. Yong and C.-C. Chong, "An overview of multigigabit wireless through millimeter wave technology: Potentials and technical challenges," EURASIP J. Wireless Commun. Netw., vol. 2007, 2007, Article ID 78907.
10. B. Razavi, "Design of millimeter-wave CMOS radios: A tutorial," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 56, no. 1, pp. 4-16, Jan. 2009.
11. D. A. Sobel, "A baseband mixed-signal receiver front-end for 1 Gbps wireless communications at 60 GHz," Ph.D. dissertation, Dept. Electr. Comput. Eng., Univ. California, Berkeley, CA, 2008.
12. K. Yu, M. Bengtsson, B. Ottersten, P. Karlsson, and M. A. Beach, "Second order statistics of NLOS indoor MIMO channels based on 5.2 GHz measurements," in Proc. IEEE Global Telecommun. Conf., Nov. 2001, vol. 1, pp. 156-160.
13. D. P. McNamara, M. A. Beach, and P. N. Fletcher, "Spatial correlation in indoor MIMO channels," in IEEE Int. Symp. Pers. Ind. Mob. Radio Commun., Sep. 2002, vol. 1, pp. 290-294.
14. J. Kermoal, L. Schumacher, K. Pedersen, P. Mogensen, and F. Frederiksen, "A stochastic MIMO radio channel model with experimental validation," IEEE J. Sel. Areas Commun., vol. 20, no. 6, pp. 1211-1226, Aug. 2002.
15. J. W.Wallace, M. A. Jensen, A. L. Swindlehurst, and B. D. Jeffs, "Experimental characterization of the MIMO wireless channel: Data acquisition and analysis," IEEE Trans. Wireless Commun., vol. 2, no. 2, pp. 335-343, Mar. 2003.
16. M. J. Gans, N. Amitay, Y. Yeh, H. Xu, T. Damen, R. A. Valenzuela, T. Sizer, R. Storz, D. Taylor,W. MacDonald, C. Tran, and A. Adamiecki, "Outdoor BLAST measurement system at 2.44 GHz: Calibration and initial results," IEEE J. Sel. Areas Commun., vol. 20, no. 3, pp. 570-583, Apr. 2002.
17. D. Chizhik, J. Ling, P. W. Wolniansky, R. A. Valenzuela, N. Costa, and K. Huber, "Multiple-input-multiple-output measurements and modeling in Manhattan," IEEE J. Sel. Areas Commun., vol. 21, no. 3, pp. 321-331, Apr. 2003.
18. H. Ozcelik, M. Herdin, W. Weichselberger, J. Wallace, and E. Bonek, "Deficiencies of 'Kronecker' MIMO radio channel model," Electron. Lett., vol. 39, no. 16, pp. 1209-1210, Aug. 2003.
19. E. Bonek, "Experimental validation of analytical MIMO channel models," Elektrotechnik und Informationstechnik (e&i), vol. 122, no. 6, pp. 196-205, 2005. (Pubitemid 40999564)
20. N. Costa and S. Haykin, "A novel wideband channel model and experimental validation," IEEE Trans. Antennas Propag., vol. 56, no. 2, pp. 550-562, Feb. 2008.
21. L. Wood and W. S. Hodgkiss, "A reduced-rank eigenbasis MIMO channel model," in Proc. IEEE Wireless Telecommun. Symp., Apr. 2008, pp. 78-83.
22. H. Ozcelik, N. Czink, and E. Bonek, "What makes a good MIMO channel model?," in Proc. IEEE Spring Veh. Technol. Conf.,May 2005, vol. 1, pp. 156-160.
23. S. Wyne, A. Molisch, P. Almers, G. Eriksson, J. Karedal, and F. Tufvesson, "Statistical evaluation of outdoor-to-indoor office MIMO measurements at 5.2 GHz," in Proc. IEEE Fall Veh. Technol. Conf., May 2005, vol. 1, pp. 146-150.
24. T. A. Lamahewa, R. A. Kennedy, T. D. Abhayapala, and T. Betlehem, "MIMO channel correlation in general scattering environments," in Proc. Aus. Commun. Theory Workshop, Feb. 2006, pp. 93-98.
25. P. Almers, E. Bonek, A. Burr, N. Czink, M. Debbah, V. Degli-Esposti, H. Hofstetter, P. Kyösti, D. Laurenson, G. Matz, A. F. Molisch, C. Oestges, and H. Özcelik, "Survey of channel and radio propagation models for wireless MIMO systems," EURASIP J. Wireless Commun. Netw., vol. 2007, no. 1, p. 56, Jan. 2007.
26. Y. Zhou, M. Herdin, A. M. Sayeed, and E. Bonek, "Experimental study of MIMO channel statistics and capacity via the virtual representation," University ofWisconsin-Madison, Madison, WI,May 2006 [Online]. Available: http://dune.ece.wisc.edu
27. W. Weichselberger, M. Herdin, H. Ozcelik, and E. Bonek, "A stochastic MIMO channel model with joint correlation of both link ends," IEEE Trans. Wireless Commun., vol. 5, no. 1, pp. 90-100, Jan. 2006.
28. V. Raghavan, J. H. Kotecha, and A. M. Sayeed, "Why does the Kronecker model result in misleading capacity estimates?," IEEE Trans. Inf. Theory, vol. 56, no. 10, pp. 4843-4864, Oct. 2010.
29. A. M. Sayeed, "Deconstructing multi-antenna fading channels," IEEE Trans. Signal Process., vol. 50, no. 10, pp. 2563-2579, Oct. 2002.
30. A. M. Tulino, A. Lozano, and S. Verdú, "Impact of antenna correlation on the capacity of multiantenna channels," IEEE Trans. Inf. Theory, vol. 51, no. 7, pp. 2491-2509, Jul. 2005.
31. M. Matthaiou, A. M. Sayeed, and J. A. Nossek, "Sparse multipath MIMO channels: Performance implications based on measurement data," in Proc. IEEE 10th Workshop Signal Process. Adv. Commun., Jun. 2009, pp. 364-368.
32. O. M. Bucci and G. Franceschetti, "On degrees of freedom of scattered fields," IEEE Trans. Antennas Propag., vol. 37, no. 7, pp. 918-926, Jul. 1989.
33. M. D. Migliore, "On the role of the number of degrees of freedom of the field in MIMO channels," IEEE Trans. Antennas Propag., vol. 54, no. 2, pp. 620-628, Feb. 2006.
34. K. Chakraborty and M. Franceschetti, "Maxwell meets Shannon: Space-time duality in multiple antenna channels," in Proc. Allerton Conf. Commun. Control Comput., Sep. 2006, pp. 761-770.
35. J. Xu and R. Janaswamy, "Electromagnetic degrees of freedom in 2-D scattering environments," IEEE Trans. Antennas Propag., vol. 54, no. 12, pp. 3882-3894, Dec. 2006.
36. L. W. Hanlen, R. Timo, and R. Perera, "On dimensionality for sparse multipath," in Proc. Aus. Commun. Theory Workshop, Feb. 2006, pp. 125-129.
37. A. S. Y. Poon, R. W. Brodersen, and D. N. C. Tse, "Degrees of freedom in multiple-antenna channels: A signal space approach," IEEE Trans. Inf. Theory, vol. 51, no. 2, pp. 523-536, Feb. 2005.
38. R. A. Kennedy, P. Sadeghi, T. D. Abhayapala, and H. M. Jones, "Intrinsic limits of dimensionality and richness in random multipath fields," IEEE Trans. Signal Process., vol. 55, no. 6, pp. 2542-2556, Jun. 2007.
39. N. A. Goodman, "MIMO channel rank via the aperture-bandwidth product," IEEE Trans.Wireless Commun., vol. 6, no. 6, pp. 2246-2254, Jun. 2007.
40. S. Loyka and G. Levin, "On physically-based normalization of MIMO channel matrices," IEEE Trans. Wireless Commun., vol. 8, no. 3, pp. 1107-1112, Mar. 2009.
41. R. R. Muller, "Random matrix model of communication via antenna arrays," IEEE Trans. Inf. Theory, vol. 48, no. 9, pp. 2495-2506, Sep. 2002.
42. A. G. Burr, "Capacity bounds and estimates for the finite scatterers MIMO wireless channel," IEEE J. Sel. Areas Commun., vol. 21, no. 5, pp. 812-818, Jun. 2003.
43. N. Chiurtu, B. Rimoldi, and Í. E. Telatar, "Dense multiple antenna systems," in Proc. IEEE Inf. Theory Workshop, Sep. 2001, pp. 108-109.
44. D. C. Jenn, "Transmission equation for multiple cooperative transmitters and collective beamforming," IEEE Antennas Wireless Propag. Lett., vol. 7, pp. 606-608, 2008.
45. K. Liu, V. Raghavan, and A. M. Sayeed, "Capacity scaling and spectral efficiency in wideband correlated MIMO channels," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2504-2526, Oct. 2003.
46. M. Skoglund and G. Jongren, "On the capacity of a multiple-antenna communication link with channel side information," IEEE J. Sel. Areas Commun., vol. 21, no. 3, pp. 395-405, Apr. 2003.
47. A. J. Goldsmith, S. A. Jafar, N. Jindal, and S. Vishwanath, "Capacity limits of MIMO channels," IEEE J. Sel. Areas Commun., vol. 21, no. 5, pp. 684-702, Jun. 2003.
48. D. P. Palomar, J. M. Cioffi, and M. A. Lagunas, "Uniform power allocation in MIMO channels: A game-theoretic approach," IEEE Trans. Inf. Theory, vol. 49, no. 7, pp. 1707-1727, Jul. 2003.
49. A. L. Moustakas, S. H. Simon, and A. M. Sengupta, "MIMO capacity through correlated channels in the presence of correlated interferers and noise: A (not so) large N analysis," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2545-2561, Oct. 2003.
50. A. M. Tulino and S. Verdù, "Random matrices and wireless communications," Found. Trends Commun. Inf. Theory, vol. 1, no. 1, Jun. 2004, DOI: 10.1561/0100000001 .
51. C. Martin and B. Ottersten, "Asymptotic eigenvalue distributions and capacity for MIMO channels under correlated fading," IEEE Trans. Wireless Commun., vol. 3, no. 4, pp. 1350-1358, Jul. 2004.
52. E. Jorswieck and H. Boche, "Optimal transmission strategies and impact of correlation in multi-antenna systems with different types of channel state information," IEEE Trans. Signal Process., vol. 52, no. 12, pp. 3440-3453, Dec. 2004.
53. V. V. Veeravalli, Y. Liang, and A. M. Sayeed, "Correlated MIMO Rayleigh fading channels: Capacity, optimal signaling and asymptotics," IEEE Trans. Inf. Theory, vol. 51, no. 6, pp. 2058-2072, Jun. 2005.
54. L. Hanlen and A. J. Grant, "Optimal transmit covariance for MIMO channels with statistical transmitter side information," in Proc. IEEE Int. Symp. Inf. Theory, Sep. 2005, pp. 1818-1822.
55. S. H. Simon, A. L. Moustakas, and L. Marinelli, "Capacity and character expansions: Moment-generating function and other exact results for MIMO correlated channels," IEEE Trans. Inf. Theory, vol. 52, no. 12, pp. 5336-5351, Dec. 2006.
56. W. Hachem, O. Khorunzhiy, P. Loubaton, J. Najim, and L. Pastur, "A new approach for mutual information analysis of large dimensional multi-antenna channels," IEEE Trans. Inf. Theory, vol. 54, no. 9, pp. 3987-4004, Sep. 2008.
57. X. Gao, B. Jiang, X. Li, A. B. Gershman, and M. R. McKay, "Statistical eigenmode transmission over jointly-correlated MIMO channels," IEEE Trans. Inf. Theory, vol. 55, no. 8, pp. 3735-3750, Aug. 2009.
58. S. Verdú, "Spectral efficiency in the wideband regime," IEEE Trans. Inf. Theory, vol. 48, no. 6, pp. 1319-1343, Jun. 2002.
59. S. H. Simon and A. L. Moustakas, "Optimizing MIMO antenna systems with channel covariance feedback," IEEE J. Sel. Areas Commun., vol. 21, no. 3, pp. 406-417, Apr. 2003.
60. A. M. Tulino, A. Lozano, and S. Verdú, "Multiantenna capacity in the low-power regime," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2527-2544, Oct. 2003.
61. A. Lozano, A. M. Tulino, and S. Verdú, "High-SNR power offset in multiantenna communication," IEEE Trans. Inf. Theory, vol. 51, no. 12, pp. 4134-4151, Dec. 2005. (Pubitemid 41800349)
62. A. M. Tulino, A. Lozano, and S. Verdú, "Capacity-achieving input covariance for correlated multi-antenna channels," in Proc. Allerton Conf. Commun. Control Comput., Oct. 2003, pp. 242-251.
63. P. Kyritsi, D. C. Cox, R. A. Valenzuela, and P. W.Wolniansky, "Effect of antenna polarization on the capacity of a multiple element system in an indoor environment," IEEE J. Sel. Areas Commun., vol. 20, no. 6, pp. 1227-1239, Aug. 2002.
64. D.-S. Shiu, G. J. Foschini, M. J. Gans, and J. M. Kahn, "Fading correlation and its effect on the capacity of multielement antenna systems," IEEE Trans. Commun., vol. 48, pp. 502-513, Mar. 2000.
65. S. A. Jafar and A. J. Goldsmith, "Isotropic fading vector broadcast channel: The scalar upperbound and loss in degrees of freedom," IEEE Trans. Inf. Theory, vol. 51, no. 3, pp. 848-857, Mar. 2005.
66. V. R. Cadambe and S. A. Jafar, "Interference alignment and the degrees of freedom for the K user interference channel," IEEE Trans. Inf. Theory, vol. 54, no. 8, pp. 3425-3441, Aug. 2008.
67. 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.
68. Y. Liang and V. V. Veeravalli, "Correlated MIMO Rayleigh fading channels: Capacity and optimal signaling," in Proc. IEEE Asilomar Conf. Signals Syst. Comput., Nov. 2003, vol. 1, pp. 1166-1170.
69. V. Raghavan and A. M. Sayeed, "Multi-antenna capacity of sparse multipath channels," Univ. Wisconsin-Madison, Madison, WI, Tech. Rep. ECE-09-03, 2009.
70. V. Raghavan and A. M. Sayeed, "MIMO capacity scaling and saturation in correlated environments," in Proc. IEEE Int. Conf. Commun., May 2003, vol. 5, pp. 3006-3010.
71. V. Raghavan, "Spatially correlated multi-antenna wireless channels: Capacity and limited feedback performance," Ph.D. dissertation, Dept. Electr. Comput. Eng., Univ. Wisconsin-Madison, Madison, WI, 2006.
72. Z. D. Bai and Y. Q. Yin, "Convergence to the semi-circle law," Ann. Probab., vol. 16, no. 2, pp. 863-875, 1988.
73. P. B. Rapajic and D. Popescu, "Information capacity of a random signature multiple-input multiple-output channel," IEEE Trans. Inf. Theory, vol. 48, no. 8, pp. 1245-1248, Aug. 2000.
74. S. Verdú and S. Shamai (Shitz), "Spectral efficiency of CDMA with random spreading," IEEE Trans. Inf. Theory, vol. 45, no. 2, pp. 622-640, Mar. 1999.
75. W. Hachem, Ph. Loubaton, and J. Najim, "The empirical distribution of the eigenvalues of a Gram matrix with a given variance profile," Annales de l'Institut Henri Poincare, Probabilites et Statistiques, vol. 42, no. 6, pp. 649-670, 2006.
76. A. M. Sayeed and V. Raghavan, "Maximizing MIMO capacity in sparse multipath with reconfigurable antenna arrays," IEEE J. Special Topics Signal Process., vol. 1, no. 1, pp. 156-166, Jun. 2007.
77. G. Barriac and U. Madhow, "Space-time communication for OFDM with implicit channel feedback," IEEE Trans. Inf. Theory, vol. 50, no. 12, pp. 3111-3129, Dec. 2004.
78. T. Muharemovic, A. Sabharwal, and B. Aazhang, "Antenna packing in low-power systems: Communication limits and array design," IEEE Trans. Inf. Theory, vol. 54, no. 1, pp. 429-440, Jan. 2008.
79. X.Wu and R. Srikant, "MIMO channels in the low SNR regime: Communication rate, error exponent and signal peakiness," IEEE Trans. Inf. Theory, vol. 53, no. 4, pp. 1290-1309, Apr. 2007.
80. T. L. Marzetta and A. Ashikhmin, "Beyond LTE: Hundreds of base station antennas," in Proc. IEEE Commun. Theory Workshop, May 2010.
81. W. U. Bajwa, J. Haupt, A. M. Sayeed, and R. Nowak, "Compressed channel sensing: A new approach to estimating sparse multipath channels," Proc. IEEE, vol. 98, no. 6, pp. 1058-1076, Jun. 2010.
82. S. R. Bhaskaran, L. Davis, A. J. Grant, S. V. Hanly, and P. Tune, "Downlink scheduling using compressed sensing," in Proc. IEEE Inf. Theory Workshop, Jun. 2009, pp. 201-205.
83. D. Guo, S. Shamai (Shitz), and S. Verdú, "Mutual information and minimum mean-square error in Gaussian channels," IEEE Trans. Inf. Theory, vol. 51, no. 4, pp. 1261-1282, Apr. 2005.
84. Y. Q. Yin, Z. D. Bai, and P. R. Krishnaiah, "On limit of the largest eigenvalue of the large dimensional sample covariance matrix," Probab. Theory Related Fields, vol. 78, pp. 509-521, 1988.
85. R. A. Durrett, Probability: Theory and Examples, 2nd ed. Pacific Grove, CA: Duxbury Press, 1995.
86. Z. D. Bai and H. Saranadasa, "Effect of high dimension comparison of significance tests for a high dimensional two sample problem," Statistica Sinica, vol. 6, pp. 311-329, 1996.
87. Z. D. Bai, "Methodologies in spectral analysis of large dimensional random matrices, a review," Statistica Sinica, vol. 9, pp. 611-677, 1999.
88. U. Grenander and J. W. Silverstein, "Spectral analysis of networks with random topologies," SIAM J. Appl. Math., vol. 32, no. 2, pp. 499-519, Mar. 1977.
89. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed. New York: Academic, 1965.