Noncoherent MIMO communication: Grassmannian constellations and efficient detection

IEEE Transactions on Information Theory

Volumn 55, Issue 3, 2009, Pages 1176-1205

  Gohary, Ramy H ^a,b   Davidson, Timothy N ^a  

^a MCMASTER UNIVERSITY   (Canada)

^b Radio Science Branch   (Canada)

Author keywords

Grassmann manifold; Noncoherent multiple input multiple output (MIMO) communication; Reduced search maximum likelihood detection; Sphere packing

Indexed keywords

ACOUSTIC INTENSITY; BLOCK CODES; CELLULAR RADIO SYSTEMS; CHANNEL CODING; COMMUNICATION; DESIGN; DETECTORS; FADING (RADIO); MAXIMUM LIKELIHOOD ESTIMATION; MIM DEVICES; MULTIPLEXING; PROBABILITY; ROTATION; SIGNAL TO NOISE RATIO; TRELLIS CODES;

COMPUTATIONAL EFFORTS; CONSTELLATION POINTS; DESIGN COMPLEXITY; EFFICIENT DETECTIONS; ERGODIC CAPACITIES; GEOMETRIC PROPERTIES; GRASSMANN MANIFOLD; GRASSMANNIAN; HIGH MULTIPLICITIES; HIGH SIGNAL-TO-NOISE RATIOS; INPUT SIGNALS; ISOTROPIC DISTRIBUTIONS; MAXIMUM LIKELIHOOD DETECTORS; MIMO COMMUNICATIONS; MINIMUM DISTANCES; ML DETECTORS; MULTIPLE-INPUT MULTIPLE-OUTPUT CHANNELS; NOISE REALIZATIONS; NONCOHERENT COMMUNICATIONS; NONCOHERENT MULTIPLE INPUT-MULTIPLE-OUTPUT (MIMO) COMMUNICATION; PAIR WISE ERROR PROBABILITIES; PERTURBATION ANALYSIS; REDUCED-SEARCH MAXIMUM LIKELIHOOD DETECTION; SPHERE PACKING; STORAGE REQUIREMENTS;

PACKING;

EID: 62749131196     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2008.2011512     Document Type: Article

References (43)

1. I. E. Telatar, "Capacity of multiantenna Gaussian channels," Eur. Trans. Telecom., vol. 10, pp. 585-595, Nov. 1999.
2. L. Zheng and D. N. C. Tse, "Communication on the Grassmann manifold: A geometric approach to the noncoherent multiple-antenna channel," IEEE Trans. Inf. Theory, vol. 48, pp. 359-383, Feb. 2002.
3. T. L. Marzetta and B. M. Hochwald, "Capacity of a mobile multiple-antenna communication link in Rayleigh flat fading," IEEE Trans. Inf. Theory, vol. 45, pp. 139-157, Jan. 1999.
4. B. M. Hochwald and T. L. Marzetta, "Unitary space-time modulation multiple-antenna communications in Rayleigh flat fading," IEEE Trans. Inf. Theory, vol. 46, pp. 543-564, Mar. 2000.
5. C. Rao and B. Hassibi, "Analysis of multiple antenna wireless links at low SNR," IEEE Trans. Inf. Theory, vol. 50, pp. 2123-2130, Sep. 2004.
6. B. Hassibi and T. L. Marzetta, "Multiple-antennas and isotropically random unitary inputs: The received signal density in closed form," IEEE Trans. Inf. Theory, vol. 48, pp. 1473-1484, Jun. 2002.
7. B. Hassibi and B. M. Hochwald, "How much training is needed in multiple-antenna wireless links?," IEEE Trans. Inf. Theory, vol. 49, pp. 951-963, Apr. 2003.
8. A. Lapidoth and S. M. Moser, "Capacity bounds via duality with applications to multiple-antenna systems on flat-fading channels," IEEE Trans. Inf. Theory, vol. 49, pp. 2426-2467, Oct. 2003.
9. D. Agrawal, T. Richardson, and R. Urbanke, "Multiple-antenna signal constellations for fading channels," IEEE Trans. Inf. Theory, vol. 47, pp. 2618-2626, Sep. 2001.
10. P. Dayal, M. Brehler, and M. K. Varanasi, "Leveraging coherent space-time codes for noncoherent communication via training," IEEE Trans. Inf. Theory, vol. 50, pp. 2058-2080, Sep. 2004.
11. H. El-Gamal and M. O. Damen, "Noncoherent space-time coding: An algebraic perspective," IEEE Trans. Inf. Theory, vol. 51, pp. 2380-2390, Jul. 2005.
12. A. Barg and D. Y. Nogin, "Bounds on packings of spheres in the Grassmann manifold," IEEE Trans. Inf. Theory, vol. 48, pp. 2450-2454, Sep. 2002.
13. O. Henkel, "Sphere-packing bounds in the Grassmann and Stiefel manifolds," IEEE Trans. Inf. Theory, vol. 51, pp. 3445-3456, Oct. 2005.
14. M. J. Borran, A. Sabharwal, and B. Aazhang, "On design criteria and construction of noncoherent space-time constellations," IEEE Trans. Inf. Theory, vol. 49, pp. 2332-2351, Oct. 2003.
15. J.-C. Belfiore and A. M. Cipriano, "Space-time coding for noncoherent channels," in Space-Time Wireless Systems: From Array Processing to MIMO Communications, H. Bölcskei, D. Gesbert, C. B. Papadias, and A.-J. van der Veen, Eds. New York: Cambridge University Press, 2006, ch. 10, pp. 198-217.
16. V. Tarokh and I.-M. Kim, "Existence and construction of noncoherent unitary space-time codes," IEEE Trans. Inf. Theory, vol. 48, pp. 3112-3117, Dec. 2002.
17. B. M. Hochwald, T. L. Marzetta, T. J. Richardson, W. Sweldens, and R. Urbanke, "Systematic design of unitary space-time constellations," IEEE Trans. Inf. Theory, vol. 46, pp. 1962-1973, Sep. 2000.
18. I. Kammoun and J.-C. Belfiore, "A new family of Grassmann space-time codes for non-coherent MIMO systems," IEEE Commun. Lett., vol. 7, pp. 528-530, Nov. 2003.
19. I. Kammoun, A. M. Cipriano, and J.-C. Belfiore, "Non-coherent codes over the Grassmannian," IEEE Trans. Wireless Commun., vol. 6, pp. 3657-3667, Oct. 2007.
20. M. L. McCloud, M. Brehler, and M. K. Varanasi, "Signal design and convolutional coding for noncoherent space-time communication on the block-Rayleigh-fading channel," IEEE Trans. Inf. Theory, vol. 48, pp. 1186-1194, May 2002.
21. A. Edelman, T. Arias, and S. Smith, "The geometry of algorithms with orthogonality constraints," SIAM J. Matrix Anal. Appl., vol. 20, no. 2, pp. 303-353, 1998.
22. G. W. Stewart, "Perturbation bounds for the QR factorization of a matrix," SIAM J. Num. Anal., vol. 14, pp. 509-518, Jun. 1977.
23. A. Edelman, "Eigenvalues and condition numbers of random matrices," SIAM J. Matrix Anal. Appl., vol. 9, pp. 543-560, Oct. 1988.
24. T. M. Cover and J. A. Thomas, Elements of Information Theory. New York: Wiley, 1991.
25. G. H. Golub and C. F. van Loan, Matrix Computations, third ed. Baltimore, MD: The Johns Hopkins University Press, 1996.
26. J. H. Conway, R. H. Hardin, and N. J. A. Sloane, "Packing lines, planes, etc.: Packings in Grassmannian spaces," Exper. Math., vol. 5, no. 2, pp. 139-159, 1996.
27. B. M. Hochwald and S. ten Brink, "Achieving near-capacity on a multiple-antenna channel," IEEE Trans. Commun., vol. 51, pp. 389-399, Mar. 2003.
28. A. J. Goldsmith and S.-G. Chua, "Adaptive coded modulation for fading channels," IEEE Trans. Commun., vol. 46, pp. 595-602, May 1998.
29. Y. Li and X. G. Xia, "Constellation mapping for space-time matrix modulation with iterative demodulation/decoding," IEEE Trans. Commun., vol. 53, pp. 764-768, May 2005.
30. I. Bahceci and T. Duman, "Trellis-coded unitary space-time modulation," IEEE Trans. Wireless Commun., vol. 3, pp. 2005-2012, Nov. 2004.
31. V. Tarokh, N. Seshadri, and A. R. Calderbank, "Space-time codes for high data rate wireless communication: Performance criterion and code construction," IEEE Trans. Inf. Theory, vol. 44, pp. 744-765, 1998.
32. M. Brehler and M. K. Varanasi, "Asymptotic error probability analysis of quadratic receivers in Rayleigh-fading channels with applications to a unified analysis of coherent and noncoherent space-time receivers," IEEE Trans. Inf. Theory, vol. 47, pp. 2383-2399, Sep. 2001.
33. R. Li and P. Y. Kam, "New tight bounds on the pairwise error probability for unitary space-time modulations," IEEE Commun. Lett. vol. 4, pp. 289-291, Apr. 2005.
34. J. Robinson, "The distribution of a general quadratic form in normal variates," Austral. J. Statist., vol. 7, no. 3, pp. 110-114, 1965.
35. N. Johnson and S. Kotz, Distributions in Statistics: Continuous Univariate Distributions - 2. New York: Wiley, 1970.
36. S. M. Alamouti, "A simple transmitter diversity scheme for wireless communications," IEEE J. Sel. Areas Commun., vol. 16, pp. 1451-1458, Oct. 1998.
37. B. Hassibi and B. M. Hochwald, "High-rate codes that are linear in space and time," IEEE Trans. Inf. Theory, vol. 48, pp. 1804-1824, Jul. 2002.
38. J.-C. Belfiore, G. Rekaya, and E. Viterbo, "The Golden code: A 2 × 2 full-rate space-time code with nonvanishing determinants," IEEE Trans. Inf. Theory, vol. 4, pp. 1432-1436, Apr. 2005.
39. G. Taricco and E. Biglieri, "Space-time decoding with imperfect channel estimation," IEEE Trans. Wireless Commun., vol. 4, pp. 1874-1888, Jul. 2005.
40. R. J. Muirhead, Aspects of Multivariate Statistical Theory. New York: Wiley, 1982.
41. C. Stein, The Accuracy of the Normal Approximation to the Distribution of the Traces of Powers of Random Orthogonal Matrices Stanford University, Dept. of Statistics, Stanford, CA, 1995, Tech. Rep. 470.
42. A. Papoulis, Probability, Random Variables and Stochastic Processes 2nd ed. New York: McGraw-Hill, 1984.
43. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge University Press, 1999.