Information-theoretic analysis of MIMO channel sounding

IEEE Transactions on Information Theory

Volumn 57, Issue 11, 2011, Pages 7555-7577

  Baum, Daniel S ^a,b   Bölcskei, Helmut ^a  

^a ETH ZURICH   (Switzerland)

^b Baum Consulting GmbH   (Switzerland)

Author keywords

Channel measurement; multiple input multiple output (MIMO); phase noise; sounding

Indexed keywords

CAPACITY BOUND; CHANNEL MEASUREMENTS; CHANNEL SOUNDERS; FREQUENCY OFFSETS; INFORMATION-THEORETIC ANALYSIS; LINE-OF-SIGHT; LOCAL OSCILLATORS; LOW RANK; MEASUREMENT RESULTS; MIMO CHANNEL; MIMO CHANNEL MEASUREMENTS; MULTIPLE-INPUT-MULTIPLE-OUTPUT; PHASE ERROR; PHYSICAL CHANNELS; RADIO CHANNELS; RADIO FREQUENCY CHAINS; SOUNDING;

ACOUSTIC DEVICES; ANTENNA PHASED ARRAYS; FREQUENCY ALLOCATION; INFORMATION THEORY; MIMO SYSTEMS; PHASE NOISE; RADIO SYSTEMS; RECEIVING ANTENNAS; SIGNAL ENCODING;

MEASUREMENT ERRORS;

EID: 81255212000     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2011.2165129     Document Type: Article

References (34)

1. D. S. Baum and H. Bölcskei, "The effect of phase errors in MIMO channel sounding," IEEE Trans. Antennas Propagat., in preparation.
2. G. Matz, A. F. Molisch, F. Hlawatsch, M. Steinbauer, and I. Gaspard, "On the systematic measurement error of correlative mobile radio channel sounders," IEEE Trans. Commun., vol. 50, no. 5, pp. 808-821, May 2002. (Pubitemid 34763647)
3. D. Gesbert, H. Bölcskei, 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. D. Chizhik, G. J. Foschini, M. J. Gans, and R. A. Valenzuela, "Keyholes, correlations, and capacities of multielement transmit and receive antennas," IEEE Trans. Wireless Commun., vol. 1, no. 2, pp. 361-368, Apr. 2002. (Pubitemid 44934301)
5. M. J. Gans, N. Amitay, Y. S. Yeh, H. Xu, T. C. Damen, R. A. Valenzuela, T. Sizer, R. Storz, D. Taylor,W.M.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. (Pubitemid 34554897)
6. P. Kyritsi, R. A. Valenzuela, and D. C. Cox, "Channel and capacity estimation errors," IEEE Commun. Lett., vol. 6, no. 12, pp. 517-519, Dec. 2002.
7. S. Loyka and A. Kouki, "On MIMO channel capacity, correlations, and keyholes: Analysis of degenerate channels," IEEE Trans. Commun., vol. 50, no. 12, pp. 1886-1888, Dec. 2002.
8. P. Almers, F. Tufvesson, and A. F. Molisch, "Measurement of keyhole effect in a wireless multiple-input multiple-output (MIMO) channel," IEEE Commun. Lett., vol. 7, no. 8, pp. 373-375, Aug. 2003.
9. J. R. Magnus and H. Neudecker, Matrix Differential Calculus with Applications in Statistics and Econometrics, ser. Wiley Series in Probability and Statistics, 2nd ed. Chichester, U.K.: Wiley-VCH, 1999.
10. K.-T. Fang, S. Kotz, and K.-W. Ng, Symmetric Multivariate and Related Distributions, ser. Monographs on Statistics and Applied Probability. New York: Chapman & Hall, 1990.
11. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, M. Abramowitz and I. A. Stegun, Eds., 9th ed. New York: Dover, 1972.
12. G. Sommerkorn, A. Richter, R. S. Thomä, and W. Wirnitzer, "Antenna multiplexing and time alignment for MIMO channel sounding," in Proc. Int. Union of Radio Science (URSI) General Assembly (GA), Maastricht, The Netherlands, Aug. 2002, p. CP.P.28, paper no. 1879.
13. A. Hajimiri and T. H. Lee, The Design of Low Noise Oscillators. Dordrecht, The Netherlands: Kluwer, 1999.
14. İ. E. Telatar, "Capacity of multi-antenna Gaussian channels," Eur. Trans. Telecommun., vol. 10, no. 6, pp. 585-595, Nov. 1999.
15. 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. (Pubitemid 41136404)
16. R. A.Wooding, "The multivariate distribution of complex normal variables," Biometrika, vol. 43, no. 1/2, pp. 212-215, Jun. 1956.
17. K. Kreutz-Delgado, "The Complex Gradient Operator and the-calculus," Univ. California, San Diego, CA, 2005 [Online]. Available: http://dsp.ucsd.edu/~kreutz/PEI05.html
18. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1985.
19. M. L. Eaton and M. D. Perlman, "The non-singularity of generalized sample covariance matrices," Ann. Statist., vol. 1, no. 4, pp. 710-717, Jul. 1973.
20. M. Capiński and P. E. Kopp, Measure, Integral and Probability, 2nd ed. London, U.K.: Springer, 1999.
21. T. McKelvey, H. Akçay, and L. Ljung, "Subspace-based multivariable system identification from frequency response data," IEEE Trans. Autom. Control, vol. 41, no. 7, pp. 960-979, Jul. 1996. (Pubitemid 126768477)
22. T. W. Anderson, An Introduction to Multivariate Statistical Analysis, 3rd ed. Hoboken, NJ: Wiley, 2003.
23. A. M. Mathai, An Introduction to Geometrical Probability: Distributional Aspects With Applications. Newark, NJ: Gordon and Breach, 1999.
24. A. Edelman, "Eigenvalues and Condition Numbers of Random Matrices," Ph.D. dissertation, MIT, Cambridge, MA, 1989.
25. A. M. Mathai and S. B. Provost, Quadratic Forms in Random Variables: Theory and Applications. New York: Marcel Dekker, 1992.
26. D. S. Baum and H. Bölcskei, "Impact of phase noise on MIMO channel measurement accuracy," in Proc. IEEE Veh. Technol. Conf. (VTC) Fall, Los Angeles, CA, Sep. 2004, vol. 3, pp. 1614-1618. (Pubitemid 40513394)
27. M. K. Simon, Probability Distributions Involving Gaussian Random Variables: A Handbook for Engineers and Scientists. Boston, MA: Kluwer, 2002.
28. J. C. Hansen and H. Bölcskei, "A geometrical investigation of the rank-1 Ricean MIMO channel at high SNR," in Proc. IEEE Int. Symp. Information Theory (ISIT), Chicago, IL, Jun. 2004, p. 64.
29. G. W. Stewart, "The efficient generation of random orthogonal matrices with an application to condition estimators," SIAM J. Numer. Anal., vol. 17, no. 3, pp. 403-409, Jun. 1980.
30. Q. T. Zhang, X. W. Cui, and X. M. Li, "Very tight capacity bounds for MIMO-correlated Rayleigh-fading channels," IEEE Trans.Wireless Commun., vol. 4, no. 2, pp. 681-688, Mar. 2005. (Pubitemid 40519749)
31. P. M. Lee, Bayesian Statistics: An Introduction, 2nd ed. Hoboken, NJ: Wiley, 1997.
32. Ö. Oyman, R. U. Nabar, H. Bölcskei, and A. J. Paulraj, "Characterizing the statistical properties of mutual information in MIMO channels," IEEE Trans. Signal Process., vol. 51, no. 11, pp. 2784-2795, Nov. 2003.
33. B. M. Hochwald, T. L. Marzetta, and V. Tarokh, "Multiple-antenna channel hardening and its implications for rate feedback and scheduling," IEEE Trans. Inf. Theory, vol. 50, no. 9, pp. 1893-1909, Sep. 2004.
34. D. S. Baum, "Information-Theoretic Analysis of a Class of MIMO Channel Measurement Devices," Ph.D. dissertation, ETH Zurich, Zürich, Switzerland, 2007.