On analytical derivations of the condition number distributions of dual non-central Wishart matrices

IEEE Transactions on Wireless Communications

Volumn 8, Issue 3, 2009, Pages 1212-1217

  Matthaiou, Michail ^a   Laurenson, David I ^b   Wang, Cheng Xiang ^c  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b UNIVERSITY OF EDINBURGH   (United Kingdom)

^c HERIOT WATT UNIVERSITY   (United Kingdom)

Author keywords

Condition number; MIMO systems; Non central Wishart matrices; Ricean fading

Indexed keywords

CLUSTER ANALYSIS; DECODING; DISCRIMINANT ANALYSIS; DISTRIBUTION FUNCTIONS; MIM DEVICES; MIMO SYSTEMS; MULTIPLEXING; NUMBER THEORY; PROBABILITY DISTRIBUTIONS; RAYLEIGH FADING; RECEIVING ANTENNAS; REGRESSION ANALYSIS;

BRANCH SYSTEMS; COMMUNICATION LINKS; CONDITION NUMBER; CONDITION NUMBER DISTRIBUTIONS; CUMULATIVE DISTRIBUTION FUNCTIONS; EXTENSIVE SIMULATIONS; LINE OF SIGHTS; MULTIPLE-INPUT MULTIPLE-OUTPUT CHANNELS; NON-CENTRAL WISHART MATRICES; PROBABILITY DENSITIES; RANDOM MATRIX THEORIES; RECEIVE ANTENNAS; RICEAN FADING; STATISTICAL CHARACTERIZATIONS;

PROBABILITY DENSITY FUNCTION;

EID: 62949123175     PISSN: 15361276     EISSN: None     Source Type: Journal    
DOI: 10.1109/TWC.2009.080882     Document Type: Article

References (16)

1. G. J. Foschini, "Layered space-time architecture for wireless communications in a fading environment when using multiple antennas," Bell Labs Technical J., vol. 1, no. 2, pp. 41-59, Autumn 1996.
2. I. E. Telatar, "Capacity of multi-antenna Gaussian channels," ATT-Bell Labs Internal Technical Memorandum, June 1995.
3. V. Erceg, P. Soma, D. S. Baum, and A. J. Paulraj, "Capacity obtained from multiple-input multiple-output channel measurements in fixed wireless environments at 2.5 GHz," in Proc. International Conf. Commun. (ICC), vol. 1, New York, USA, May 2002, pp. 396-400.
4. H. Artes, D. Seethaler, and F. Hlawatsch, "Efficient detection algorithms for MIMO channels: a geometrical approach to approximate ML detection," IEEE Trans. Signal Processing, vol. 51, no. 11, pp. 2808-2820, Nov. 2003.
5. D. Wubben, R. Bohnke, V. Kuhn, and K. D. Kammeyer, "MMSE-based lattice-reduction for near-ML detection of MIMO systems," in Proc. ITG Workshop Smart Antennas, Munich, Germany, Mar. 2004, pp. 106-113.
6. Ö. Oyman, R. U. Nabar, H. Bölcskei, and A. J. Paulraj, "Characterizing the statistical properties of mutual information in MIMO channels," IEEE Trans. Signal Processing, vol. 51, no. 11, pp. 2784-2795, Nov. 2003.
7. A. T. James, "Distributions of matrix variates and latent roots derived from normal samples," Annals Mathematical Statistics, vol. 35, no. 2, pp. 475-501, June 1964.
8. A. Edelman, "Eigenvalues and condition numbers of random matrices," Ph.D. dissertation, MIT, Cambridge, MA, May 1989.
9. T. Ratnarajah, R. Vaillancourt, and M. Alvo, "Eigenvalues and condition numbers of complex random matrices," SIAM J. Matrix Analysis Applications, vol. 26, no. 2, pp. 441-456, Jan. 2005.
10. 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. Veh. Technol. Conf. (VTC), Dublin, Ireland, Apr. 2007, pp. 471-475.
11. K. I. Gross and D. S. Richards, "Total positivity, spherical series, and hypergeometric functions of matrix argument," J. Approximation Theory. vol. 59, no. 2, pp. 224-246, 1989.
12. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 6th ed. San Diego: Academic Press, 2000.
13. F. Bøhagen, P. Orten, G. e. Øien, and S. de la Kethulle de Ryhove, "Exact capacity expressions for dual-branch Ricean MIMO systems," IEEE Trans. Commun., vol. 56, no. 12, pp. 2214-2222, Dec. 2008.
14. F. Bøhagen, P. Orten, and G. e. Øien, "Design of capacity-optimal high-rank line-of-sight MIMO channels," IEEE Trans. Wireless Commun., vol. 6, no. 4, pp. 1420-1425, Apr. 2007.
15. M. Matthaiou, D. I. Laurenson, and C. -X. Wang, "Capacity study of vehicle-to-roadside MIMO channels with a line-of-sight component," in Proc. Wireless Commun. Networking Conf. (WCNC), Las Vegas, USA, Mar. 2008, pp. 775-779.
16. -, "Reduced complexity detection for Ricean MIMO channels based on condition number thresholding," in Proc. International Wireless Commun. Mobile Computing Conf. (IWCMC), Crete, Greece, Aug. 2008, pp. 988-993.