Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Books
  3. Random Matrix Methods for Wireless Communications
  • Cited by 582
Publisher:
Cambridge University Press
Online publication date:
October 2011
Print publication year:
2011
Online ISBN:
9780511994746
DOI:
https://doi.org/10.1017/CBO9780511994746
Subjects:
Engineering, Wireless Communications, Statistics for Physical Sciences and Engineering, Statistics and Probability
Information

Book description

Blending theoretical results with practical applications, this book provides an introduction to random matrix theory and shows how it can be used to tackle a variety of problems in wireless communications. The Stieltjes transform method, free probability theory, combinatoric approaches, deterministic equivalents and spectral analysis methods for statistical inference are all covered from a unique engineering perspective. Detailed mathematical derivations are presented throughout, with thorough explanation of the key results and all fundamental lemmas required for the reader to derive similar calculus on their own. These core theoretical concepts are then applied to a wide range of real-world problems in signal processing and wireless communications, including performance analysis of CDMA, MIMO and multi-cell networks, as well as signal detection and estimation in cognitive radio networks. The rigorous yet intuitive style helps demonstrate to students and researchers alike how to choose the correct approach for obtaining mathematically accurate results.

Refine List

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

Contents

Contents
References
References
bibliography
#x003E;T. B.|Abdallah, and #x003E;M.|Debbah, . Downlink CDMA: to cell or not to cell. In 12th European Signal Processing Conference (EUSIPCO'04), pages 197-200, Vienna, Austria, September 2004.
#x003E;S.|Adhikari, . A non-parametric approach for uncertainty quantification in elastodynamics. In Proceedings of the 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, 2006.
#x003E;D.|Aktas, , #x003E;M. N.|Bacha, , #x003E;J. S.|Evans, , and #x003E;S. V.|Hanly, . Scaling results on the sum capacity of cellular networks with MIMO links.IEEE Transactions on Information Theory, 52(7):3264-3274, 2006.
#x003E;I. F.|Akyildiz, , #x003E;W. Y.|Lee, , #x003E;M. C.|Vuran, , and #x003E;S.|Mohanty, . Next generation/dynamic spectrum access/cognitive radio wireless networks: a survey. Computer Networks Journal, 50(13):2127-2159, 2006.
#x003E;P.|Almers, , #x003E;E.|Bonek, , #x003E;A.|Burr, , #x003E;N.|Czink, , #x003E;M.|Debbah, , #x003E;V.|Degli-Esposti, , #x003E;H.|Hofstetter, , #x003E;P.|Kyosti, , #x003E;D.|Laurenson, , and #x003E;G. Matz, et al. Survey of channel and radio propagation models for wireless MIMO systems. EURASIP Journal on Wireless Communications and Networking, 2007.
#x003E;G. W.|Anderson, , #x003E;A.|Guionnet, , and #x003E;O.|Zeitouni, . Lecture notes on random matrices, 2006. www.mathematik.uni-muenchen.de/∼lerdos/SS09/Random/randommatrix.pdf. SAMSI, Lecture Notes.
#x003E;G. W.|Anderson, , #x003E;A.|Guionnet, , and #x003E;O.|Zeitouni, . An introduction to random matrices.Cambridge University Press, 2010. ISBN 0521194520.
#x003E;T. W.|Anderson, . The non-central Wishart distribution and certain problems of multivariate statistics. The Annals of Mathematical Statistics, 17(4):409-431, 1946.
#x003E;T. W.|Anderson, . Asymptotic theory for principal component analysis. Annals of Mathematical Statistics, 34(1):122-148, March 1963.
#x003E;L.|Arnold, . On the asymptotic distribution of the eigenvalues of random matrices.Journal of Mathematics and Analytic Applications, 20:262-268, 1967.
#x003E;L.|Arnold, . On Wigner's semi-circle law for the eigenvalues of random matrices.Probability Theory and Related Fields, 19(3):191-198, September 1971.
#x003E;L.|Arnold, , #x003E;V. M.|Gundlach, , and #x003E;L.|Demetrius, . Evolutionary formalism for products of positive random matrices.The Annals of Applied Probability, 4(3):859-901, 1994.
#x003E;Z. D.|Bai, . Circular law. The Annals of Probability, 25(1):494-529, 1997.
#x003E;Z. D.|Bai, and #x003E;J. W.|Silverstein, . No eigenvalues outside the support of the limiting spectral distribution of large dimensional sample covariance matrices. The Annals of Probability, 26(1):316-345, January 1998.
#x003E;Z. D.|Bai, and #x003E;J. W.|Silverstein, . Exact separation of eigenvalues of large dimensional sample covariance matrices. The Annals of Probability, 27(3):1536-1555, 1999.
#x003E;Z. D.|Bai, and #x003E;J. W.|Silverstein, . CLT of linear spectral statistics of large dimensional sample covariance matrices. The Annals of Probability, 32(1A):553-605, 2004.
#x003E;Z. D.|Bai, and #x003E;J. W.|Silverstein, . On the signal-to-interference-ratio of CDMA systems in wireless communications. Annals of Applied Probability, 17(1):81-101, 2007.
#x003E;Z. D.|Bai, and #x003E;J. W.|Silverstein, . Spectral analysis of large dimensional random matrices. Springer Series in Statistics, New York, NY, USA, second edition, 2009.
#x003E;Z. D.|Bai, and #x003E;J. F.|Yao, . Central limit theorems for eigenvalues in a spiked population model. Annales de lInstitut Henri Poincaré-Probabilités et Statistiques, 44(3):447-474, 2008a.
#x003E;Z. D.|Bai, and #x003E;J. F.|Yao, . Limit theorems for sample eigenvalues in a generalized spiked population model. 2008b. http://arxiv.org/abs/0806.1141.
#x003E;J.|Baik, and #x003E;J. W.|Silverstein, . Eigenvalues of large sample covariance matrices of spiked population models. Journal of Multivariate Analysis, 97(6):1382-1408, 2006.
#x003E;J.|Baik, , #x003E;G. Ben|Arous, , and #x003E;S.|Péché, . Phase transition of the largest eigenvalue for non-null complex sample covariance matrices. The Annals of Probability, 33(5):1643-1697, 2005.
#x003E;F.|Benaych-Georges, . Rectangular random matrices, related free entropy and free Fisher's information. Journal of Operator Theory, 62(2):371-419, 2009.
#x003E;F.|Benaych-Georges, and #x003E;R.|Rao, . The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices. Advances in Mathematics, 227 (1):494-521, 2011. ISSN 0001-8708.
#x003E;F.|Benaych-Georges, , #x003E;A.|Guionnet, , and #x003E;M.|Maida, . Fluctuations of the extreme eigenvalues of finiite rank deformations of random matrices. 2010. http: //arxiv.org/abs/1009.0145.
#x003E;H.|Bercovici, and #x003E;V.|Pata, . The law of large numbers for free identically distributed random variables. The Annals of Probability, 24(1):453-465, 1996.
#x003E;P.|Bianchi, , #x003E;M.|Debbah, , and #x003E;J.|Najim, . Asymptotic independence in the spectrum of the Gaussian Unitary Ensemble. Electronic Communications in Probability, 15:376-395, 2010. http://arxiv.org/abs/0811.0979.
#x003E;P.|Bianchi, , #x003E;J.|Najim, , #x003E;M.|Maida, , and #x003E;M.|Debbah, . Performance of some eigenbased hypothesis tests for collaborative sensing. IEEE Transactions on Information Theory, 57(4):2400-2419, 2011.
#x003E;P.|Biane, . Free probability for probabilists. Quantum Probability Communications, 11:55-71, 2003.
#x003E;E.|Biglieri, , #x003E;G.|Caire, , and #x003E;G.|Tarico, . CDMA system design through asymptotic analysis. IEEE Transactions on Communications, 48:1882-1896, November 2000.
#x003E;E.|Biglieri, , #x003E;G.|Caire, , #x003E;G.|Taricco, , and #x003E;E.|Viterbo, . How fading affects CDMA: an asymptotic analysis with linear receivers. IEEE Journal on Selected Areas in Communications (Wireless Series), 19(2):191-201, 2001.
#x003E;P.|Billingsley, . Convergence of Probability Measures. John Wiley and Sons, Inc., Hoboken, NJ, 1968.
#x003E;P.|Billingsley, . Probability and Measure. John Wiley and Sons, Inc., Hoboken, NJ, third edition, 1995.
#x003E;N.|Bonneau, , #x003E;E.|Altman, , #x003E;M.|Debbah, , and #x003E;G.|Caire, . When to synchronize in uplink CDMA. In Proceedings of IEEE International Symposium on Information Theory (ISIT'05), pages 337-341, 2005.
#x003E;N.|Bonneau, , #x003E;M.|Debbah, , and #x003E;E.|Altman, . Wardrop equilibrium in CDMA networks. In Workshop on Resource Allocation in Wireless Networks, Limassol, Cyprus, 2007.
#x003E;N.|Bonneau, , #x003E;M.|Debbah, , #x003E;E.|Altman, , and A. Hjørungnes. Non-atomic games for multi-user systems. IEEE Journal on Selected Areas in Communications, 26(7):1047-1058, 2008.
#x003E;S.|Borade, , #x003E;L.|Zheng, , and #x003E;R.|Gallager, . Amplify-and-forward in wireless relay networks: rate, diversity, and network size. IEEE Transactions on Information Theory, 53(10):3302-3318, 2007.
#x003E;C.|Bordenave, . Eigenvalues of euclidean random matrices. Random Structures and Algorithms, 33(4):515-532, 2008.
#x003E;C.|Bordenave, , #x003E;D.|McDonald, , and #x003E;A.|Proutiere, . Random multi-access algorithms, a mean field analysis. In Proceedings of IEEE Annual Allerton Conference on Communication, Control, and Computing (Allerton'05), Allerton, IL, USA, 2005.
#x003E;S.|Buchegger, and #x003E;J. Y.|Le, Boudec. Self-policing mobile ad-hoc networks by reputation systems. IEEE Communication Magazine, 43(7):101-107, 2005.
#x003E;D.|Cabric, , #x003E;S. M.|Mishra, , and #x003E;R. W.|Brodersen, . Implementation issues in spectrum sensing for cognitive radios. In Proceedings of IEEE Conference Record of the Asilomar Conference on Signals, Systems, and Computers (ASILOMAR'04), pages 772-776, Pacific Grove, CA, USA, 2004.
#x003E;D.|Cabric, , #x003E;A.|Tkachenko, , and #x003E;R. W.|Brodersen, . Spectrum sensing measurements of pilot, energy and collaborative detection. In IEEE Military Communications Conference, October 2006.
#x003E;G.|Caire, and #x003E;S.|Shamai, . On the achievable throughput of a multiantenna Gaussian broadcast channel. IEEE Transactions on Information Theory, 49(7):1691-1706, 2003.
#x003E;D.|Calin, , #x003E;H.|Claussen, , and #x003E;H.|Uzunalioglu, . On femto deployment architectures and macrocell offloading benefits in joint macro-femto deployments. IEEE Transactions on Communications, 48(1):26-32, January 2010.
#x003E;L. S.|Cardoso, , #x003E;M.|Debbah, , #x003E;P.|Bianchi, , and #x003E;J.|Najim, . Cooperative spectrum sensing using random matrix theory. In IEEE Pervasive Computing (ISWPC'08), pages 334-338, Santorini, Greece, May 2008.
#x003E;A.|Caticha, . Maximum entropy, uctuations and priors. Maximum Entropy and Bayesian Methods in Science and Engineering, 568:94-106, 2001.
#x003E;H.|Chandra, . Differential operators on a semi-simple Lie algebra. American Journal of Mathematics, 79:87-120, 1957.
#x003E;V.|Chandrasekhar, , #x003E;M.|Kountouris, , and #x003E;J. G.|Andrews, . Coverage in multiantenna two-tier networks. IEEE Transactions on Wireless Communications, 8(10):5314-5327, 2009.
#x003E;J. M.|Chaufray, , #x003E;W.|Hachem, , and #x003E;P.|Loubaton, . Asymptotic analysis of optimum and sub-optimum CDMA downlink MMSE receivers. IEEE Transactions on Information Theory, 50(11):2620-2638, 2004.
#x003E;S. S.|Christensen, , #x003E;R.|Agarwal, , #x003E;E. D.|Carvalho, , and #x003E;J. M.|Cioffi, Weighted sumrate maximization using weighted MMSE for MIMO-BC beamforming design, Part I.IEEE Transactions on Wireless Communications, 7(12):4792-4799, 2008.
#x003E;C. N.|Chuah, , #x003E;D. N. C.|Tse, , #x003E;J. M.|Kahn, , and #x003E;R. A.|Valenzuela, . Capacity scaling in MIMO wireless systems under correlated fading. IEEE Transactions on Information Theory, 48(3):637-650, March 2002.
#x003E;P.|Chung, , #x003E;J.|Böhme, , #x003E;C.|Mecklenbraüker, , and #x003E;A.|Hero, . Detection of the number of signals using the Benjamini-Hochberg procedure. IEEE Transactions on Signal Processing, 55(6):2497-2508, 2007.
#x003E;H.|Claussen, , #x003E;L. T.|Ho, , and #x003E;L. G.|Samuel, . An overview of the femtocell concept. Bell Labs Technical Journal, 13(1):221-245, May 2008.
#x003E;M. H. M.|Costa, . Writing on dirty paper. IEEE Transactions on Information Theory, 29(3):439-441, 1983.
#x003E;L.|Cottatellucci, and #x003E;M.|Debbah, . The effect of line of sight on the asymptotic capacity of MIMO systems. In Proceedings of IEEE International Symposium on Information Theory (ISIT'04), page 542, Chicago, USA, July 2004a.
#x003E;L.|Cottatellucci, and #x003E;M.|Debbah, . On the capacity of MIMO Rice channels. In Proceedings of IEEE Annual Allerton Conference on Communication, Control, and Computing (Allerton'04), Allerton, IL, USA, October 2004b.
#x003E;L.|Cottatellucci, and #x003E;R.|Müller, . Asymptotic design and analysis of multistage detectors with unequal powers. In Proceedings of IEEE Information Theory Workshop (ITW'02), pages 167-170, Bangalore, India, 2002.
#x003E;L.|Cottatellucci, and #x003E;R.|Müller, . A systematic approach to multistage detectors in multipath fading channels. IEEE Transactions on Information Theory, 51(9):3146-3158, 2005.
#x003E;L.|Cottatellucci, #x003E;R.|Müller, , and #x003E;M.|Debbah, . Asymptotic design and analysis of linear detectors for asynchronous CDMA systems. In Proceedings of IEEE International Symposium on Information Theory (ISIT'04), Chicago, IL, USA, 2004.
#x003E;L.|Cottatellucci, #x003E;R.|Müller, , and #x003E;M.|Debbah, . Asynchronous CDMA systems with random spreading – Part I: Fundamental limits. IEEE Transactions on
#x003E;L.|Cottatellucci, #x003E;R.|Müller, , and #x003E;M.|Debbah, . Asynchronous CDMA systems with random spreading – Part II: Design criteria. IEEE Transactions on Information Theory, 56(4):1498-1520, 2010b.
#x003E;R.|Couillet, and #x003E;M.|Debbah, . Free deconvolution for OFDM multicell SNR detection. In Proceedings of IEEE International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC'08), Cannes, France, 2008.
#x003E;R.|Couillet, and #x003E;M.|Debbah, . Uplink capacity of self-organizing clustered orthogonal CDMA networks in at fading channels. In Proceedings of IEEE Information Theory Workshop, Taormina, Sicily, 2009.
#x003E;R.|Couillet, and #x003E;M.|Debbah, . A Bayesian framework for collaborative multi-source signal detection. IEEE Transactions on Signal Processing, 58(10):5186-5195, October 2010a.
#x003E;R.|Couillet, and #x003E;M.|Debbah, . Information theoretic approach to synchronization: the OFDM carrier frequency oset example. In Sixth Advanced International Conference on Telecommunications (AICT), Barcelona, Spain, 2010b.
#x003E;R.|Couillet, and #x003E;M.|Guillaud, . Performance of statistical inference methods for the energy estimation of multiple sources. In Proceedings of IEEE Workshop on Statistical Signal Processing (SSP'11), Nice, France, 2011. To appear.
#x003E;R.|Couillet, and #x003E;W.|Hachem, . Local failure detection and diagnosis in large sensor networks. IEEE Transactions on Information Theory, 2011. Submitted for publication.
#x003E;R.|Couillet, #x003E;S.|Wagner, #x003E;M.|Debbah, , and #x003E;A.|Silva, . The space frontier: physical limits of multiple antenna information transfer. In Workshop on Interdisciplinary Systems Approach in Performance Evaluation and Design of Computer and Communication Systems (Inter-Perf'08), Athens, Greece, 2008.
#x003E;R.|Couillet, , #x003E;A.|Ancora, , and #x003E;M.|Debbah, . Bayesian foundations of channel estimation for smart radios. Advances in Electronics and Telecommunications, 1(1):41-49, 2010.
#x003E;R.|Couillet, #x003E;M.|Debbah, , and #x003E;J. W.|Silverstein, . A deterministic equivalent for the analysis of correlated MIMO multiple access channels. IEEE Transactions on Information Theory, 57(6):3493-3514, June 2011a.
#x003E;R.|Couillet, , #x003E;J.|Hoydis, , and #x003E;M.|Debbah, . Deterministic equivalents for the analysis of unitary precoded systems. IEEE Transactions on Information Theory, 2011b. ttp://arxiv.org/abs/1011.3717. Submitted for publication.
#x003E;R.|Couillet, , #x003E;J. W.|Silverstein, , #x003E;Z. D.|Bai, , and #x003E;M.|Debbah, . Eigen-inference for energy estimation of multiple sources. IEEE Transactions on Information Theory, 57(4):2420-2439, 2011c.
#x003E;R. T.|Cox, . Probability, frequency and reasonable expectation. American Journal of Physics, 14(1):1-13, 1946.
#x003E;A. D.|Dabbagh, and #x003E;D. J.|Love, . Multiple antenna MMSE based downlink precoding with quantized feedback or channel mismatch. IEEE Transactions on Communications, 56(11):1859-1868, 2008.
#x003E;R. de Lacerda|Neto, , #x003E;A. Menouni|Hayar, , #x003E;M.|Debbah, , and #x003E;B. H.|Fleury, . A maximum entropy approach to ultra-wideband channel modelling. Proceedings of the 31st IEEE International Conference on Acoustics, Speech, and Signal Processing, 2006.
#x003E;M.|Debbah, and #x003E;R.|Müller, . Impact of the power of the steering directions on the asymptotic capacity of MIMO channels. In Proceedings of IEEE International Symposium on Signal Processing and Information Technology (ISSPIT'03), Darmstadt, Germany, December 2003.
#x003E;M.|Debbah, and #x003E;R.|Müller, . MIMO channel modelling and the principle of maximum entropy. IEEE Transactions on Information Theory, 51(5):1667-1690, 2005.
#x003E;M.|Debbah, and #x003E;R.|Müller, . Capacity complying MIMO channel models. In Proceedings of IEEE Conference Record of the Asilomar Conference on Signals, Systems, and Computers (ASILOMAR'03), Pacific Grove, CA, USA, November 2003.
#x003E;M.|Debbah, , #x003E;W.|Hachem, , #x003E;P.|Loubaton, , and #x003E;M. de|Courville, . MMSE analysis of certain large isometric random precoded systems. IEEE Transactions on Information Theory, 49(5):1293-1311, May 2003a.
#x003E;M.|Debbah, , #x003E;P.|Loubaton, , and #x003E;M. de|Courville, . The spectral efficiency of linear precoders. In Proceedings of IEEE Information Theory Workshop (ITW'03), pages 90-93, Paris, France, March 2003b.
#x003E;P.|Deift, . Orthogonal Polynomials and Random Matrices: a Riemann-Hilbert Approach. New York University Courant Institute of Mathematical Sciences, New York, NY, USA, 2000.
#x003E;A.|Dembo, and #x003E;O.|Zeitouni, . Large Deviations Techniques and applications. Springer Verlag, 2009.
#x003E;P.|Ding, , #x003E;D. J.|Love, , and #x003E;M. D.|Zoltowski, . Multiple antenna broadcast channels with shape feedback and limited feedback, Part I. IEEE Transactions on Signal Processing, 55(7):3417-3428, 2007.
#x003E;B.|Dozier, and #x003E;J. W.|Silverstein, . On the empirical distribution of eigenvalues of large dimensional information plus noise-type matrices. Journal of Multivariate Analysis, 98(4):678-694, 2007a.
#x003E;B.|Dozier, and #x003E;J. W.|Silverstein, . Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices. Journal of Multivariate Analysis, 98(6):1099-1122, 2007b.
#x003E;J.|Dumon, , #x003E;W.|Hachem, , #x003E;S.|Lasaulce, , #x003E;P.|Loubaton, , and #x003E;J.|Najim, . On the capacity achieving covariance matrix for Rician MIMO channels: an asymptotic approach. IEEE Transactions on Information Theory, 56(3):1048-1069, 2010.
#x003E;F.|Dupuy, and #x003E;P.|Loubaton, . Mutual information of frequency selective MIMO systems: an asymptotic approach, 2009. http://www-syscom.univ-mlv.fr/∼fdupuy/publications.php.
#x003E;F.|Dupuy, and #x003E;P.|Loubaton, . On the capacity achieving covariance matrix for frequency selective MIMO channels using the asymptotic approach. IEEE Transactions on Information Theory, 2010. http://arxiv.org/abs/1001. 3102. To appear.
#x003E;F. J.|Dyson, . Statistical theory of the energy levels of complex systems, Part II. Journal of Mathematical Physics, 3:157-165, January 1962a.
#x003E;F. J.|Dyson, . A Brownian-motion model for the eigenvalues of a random matrix. Journal of Mathematical Physics, 3:1191-1198, 1962b.
#x003E;S.|Enserink, and #x003E;D.|Cochran, . A cyclostationary feature detector. In Proceedings of IEEE Conference Record of the Asilomar Conference on Signals, Systems, and Computers (ASILOMAR'94), pages 806-810, Pacific Grove, CA, USA, 1994.
#x003E;J.|Evans, and, #x003E;D. N. C.|Tse, . Large system performance of linear multiuser receivers in multipath fading channels. IEEE Transactions on Information Theory, 46(6):2059-2078, 2000.
#x003E;K.|Fan, . Maximum properties and inequalities for the eigenvalues of completely continuous operators. Proceedings of the National Academy of Sciences of the United States of America, 37(11):760-766, 1951.
#x003E;J.|Faraut, . Random matrices and orthogonal polynomials. Lecture Notes, CIMPA School of Merida, 2006. www.math.jussieu.fr/∼faraut/Merida.Notes.pdf.
#x003E;N.|Fawaz, and #x003E;M.|Mëdard, . On the non-coherent wideband multipath fading relay channel. In Proceedings of IEEE International Symposium on Information Theory (ISIT'10), pages 679-683, Austin, Texas, USA, 2010.
#x003E;N.|Fawaz, , #x003E;K.|Zarif, , #x003E;M.|Debbah, , and #x003E;D.|Gesbert, . Asymptotic capacity and optimal precoding in MIMO multi-hop relay networks. IEEE Transactions on Information Theory, 57(4):2050-2069, 2011. ISSN 0018-9448.
#x003E;O. N.|Feldheim, and #x003E;S.|Sodin, . A universality result for the smallest eigenvalues of certain sample covariance matrices. Geometric And Functional Analysis, 20(1):88-123, 2010. ISSN 1016-443X.
#x003E;R. A.|Fisher, . The sampling distribution of some statistics obtained from nonlinear equations. The Annals of Eugenics, 9:238-249, 1939.
#x003E;S. V.|Fomin, and #x003E;I. M.|Gelfand, . Calculus of Variations. Prentice Hall, 2000.
#x003E;G. J.|Foschini, and #x003E;M. J.|Gans, . On limits of wireless communications in a fading environment when using multiple antennas. Wireless Personal Communications, 6(3):311-335, March 1998.
#x003E;M.|Franceschetti, , #x003E;S.|Marano, , and #x003E;F.|Palmieri, . The role of entropy in wave propagation. In Proceedings of IEEE International Symposium on Information Theory (ISIT'03), Yokohama, Japan, July 2003.
#x003E;Y. V.|Fyodorov, . Introduction to the random matrix theory: Gaussian unitary ensemble and beyond. Recent Perspectives in Random Matrix Theory and Number Theory, 322:31-78, 2005.
#x003E;W. A.|Gardner, . Exploitation of spectral redundancy in cyclostationary signals. IEEE Signal Processing Magazine, 8(2):14-36, 1991.
#x003E;S.|Geman, . A limit theorem for the norm of random matrices. The Annals of Probability, 8(2):252-261, 1980.
#x003E;A.|Ghasemi, and #x003E;E. S.|Sousa, . Collaborative spectrum sensing for opportunistic access in fading environments. In IEEE Proceedings of the International Symposium on Dynamic Spectrum Access Networks, pages 131-136, 2005.
#x003E;A.|Ghasemi, and #x003E;E. S.|Sousa, . Spectrum sensing in cognitive radio networks: the cooperation-processing tradeoff. Wireless Communications and Mobile Computing, 7(9):1049-1060, 2007.
#x003E;V. L.|Girko, . Ten years of general statistical analysis. www.general-statistical-analysis. girko. freewebspace. com/chapter14. pdf.
#x003E;V. L.|Girko, . Theory of Random Determinants. Kluwer, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1990.
#x003E;M. A.|Girshick, . On the sampling theory of roots of determinantal equations. The Annals of Math. Statistics, 10:203-204, 1939.
#x003E;J.|Glimm, and #x003E;A.|Jaffe, . Quantum Physics. Springer, New York, NY, USA, 1981.
#x003E;A.|Goldsmith, , #x003E;S. A.|Jafar, , #x003E;N.|Jindal, , and #x003E;S.|Vishwanath, . Capacity limits of MIMO channels. IEEE Journal on Selected Areas in Communications, 21(5):684-702, 2003.
#x003E;I. S.|Gradshteyn, and #x003E;I. M.|Ryzhik, . Table of Integrals, Series and Products. Academic Press, sixth edition, 2000.
#x003E;A. J.|Grant, and #x003E;P. D.|Alexander, . Random sequence multisets for synchronous code-division multiple-access channels. IEEE Transactions on Information Theory, 44(7):2832-2836, November 1998.
#x003E;R. M.|Gray, . Toeplitz and circulant matrices: a review. Foundations and Trends in Communications and Information Theory, 2(3), 2006.
#x003E;D.|Gregoratti, and #x003E;X.|Mestre, . Random DS/CDMA for the amplify and forward relay channel. IEEE Transactions on Wireless Communications, 8(2):1017-1027, 2009.
#x003E;D.|Gregoratti, , #x003E;W.|Hachem, , and #x003E;X.|Mestre, . Randomized isometric lineardispersion space-time block coding for the DF relay channel. IEEE Transactions on Signal Processing, 2010. Submitted for publication.
#x003E;M.|Guillaud, , #x003E;M.|Debbah, , and #x003E;A. L.|Moustakas, . Maximum entropy MIMO wireless channel models, 2006. http://arxiv.org/abs/cs.IT/0612101.
#x003E;M.|Guillaud, , #x003E;M.|Debbah, , and #x003E;A. L.|Moustakas, . Modeling the multiple-antenna wireless channel using maximum entropy methods. In International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering (MaxEnt'07), pages 435-442, Saratoga Springs, NY, November 2007.
#x003E;A.|Guionnet, . Large random matrices: lectures on macroscopic asymptotics. École d'Été de Probabilités de Saint-Flour XXXVI-2006, 2006. www.umpa.ens-lyon.fr/∼aguionne/cours.pdf.
#x003E;D.|Guo, and #x003E;S.|Verdú, . Multiuser detection and statistical mechanics. Communications, Information and Network Security, pages 229-277, 2002.
#x003E;D.|Guo, #x003E;S.|Verdú, , and #x003E;L. K.|Rasmussen, . Asymptotic normality of linear multiuser receiver outputs. IEEE Transactions on Information Theory, 48(12):3080-3095, December 2002.
#x003E;U.|Haagerup, , #x003E;H.|Schultz, , and #x003E;S.|Thorbjørnsen, . A random matrix approach to the lack of projections in Cred*(F2). Advances in Mathematics, 204(1):1-83, 2006.
#x003E;W.|Hachem, . Simple polynomial MMSE receivers for CDMA transmissions on frequency selective channels. IEEE Transactions on Information Theory, pages 164-172, January 2004.
#x003E;W.|Hachem, . An expression for ∫ log(t/σ2 + 1)μ ⊞ μ (dt), 2008. unpublished.
#x003E;W.|Hachem, , #x003E;P.|Loubaton, , and #x003E;J.|Najim, . Deterministic equivalents for certain functionals of large random matrices. Annals of Applied Probability, 17(3):875-930, 2007.
#x003E;W.|Hachem, , #x003E;O.|Khorunzhy, , #x003E;P.|Loubaton, , #x003E;J.|Najim, , and #x003E;L. A.|Pastur, . A new approach for capacity analysis of large dimensional multi-antenna channels. IEEE Transactions on Information Theory, 54(9), 2008a.
#x003E;W.|Hachem, , #x003E;P.|Loubaton, , and #x003E;J.|Najim, . A CLT for information theoretic statistics of Gram random matrices with a given variance profile. The Annals of Probability, 18(6):2071-2130, December 2008b.
#x003E;W.|Hachem, , #x003E;P.|Loubaton, , #x003E;X.|Mestre, , #x003E;J.|Najim, , and #x003E;P.|Vallet, . A subspace estimator of finite rank perturbations of large random matrices. Journal on Multivariate Analysis, 2011. Submitted for publication.
#x003E;L.|Hanlen, and #x003E;A.|Grant, . Capacity analysis of correlated MIMO channels. In Proceedings of IEEE International Symposium on Information Theory (ISIT'03), Yokohama, Japan, July 2003.
#x003E;S. V.|Hanly, and #x003E;D. N. C.|Tse, . Resource pooling and efctive bandwidths in CDMA networks with multiuser receivers and spatial diversity. IEEE Transactions on Information Theory, pages 1328-1351, May 2001.
#x003E;B.|Hassibi, and #x003E;B. M.|Hochwald, . How Much Training is Needed in Multiple- Antenna Wireless Links. IEEE Transactions on Information Theory, 49(4): 951-963, April 2003.
#x003E;A.|Haurie, and #x003E;P.|Marcotte, . On the relationship between Nash-Cournot and Wardrop equilibria. Networks, 15(1):295-308, 1985.
#x003E;F.|Hiai, and #x003E;D.|Petz, . The Semicircle Law, Free Random Variables and Entropy - Mathematical Surveys and Monographs No. 77. American Mathematical Society, Providence, RI, USA, 2006.
#x003E;B.|Hochwald, and #x003E;S.|Vishwanath, . Space-time multiple access: Linear growth in the sum rate. Proceedings of IEEE Annual Allerton Conference on Communication, Control, and Computing (Allerton'02), 2002.
#x003E;B. M.|Hochwald, , #x003E;T. L.|Marzetta, , and #x003E;V.|Tarokh, . Multiple-antenna channel hardening and its implications for rate feedback and scheduling. IEEE Transactions on Information Theory, 50(9):1893-1909, 2004.
#x003E;M. L.|Honig, and #x003E;W.|Xiao, . Performance of reduced-rank linear interference suppression. IEEE Transactions on Information Theory, 47(5):1928-1946, May 2001.
#x003E;R. A.|Horn, and #x003E;C. R.|Johnson, . Matrix Analysis. Cambridge University Press, 1985.
#x003E;R. A.|Horn, and #x003E;C. R.|Johnson, . Topics in Matrix Analysis. Cambridge University Press, 1991.
#x003E;J.|Hoydis, , #x003E;M.|Kobayashi, , and #x003E;M.|Debbah, . Asymptotic performance of linear receivers in network MIMO. In Proceedings of IEEE Conference Record of the Asilomar Conference on Signals, Systems, and Computers (ASILOMAR'10),Pacific Grove, CA, USA, November 2010.
#x003E;J.|Hoydis, , #x003E;R.|Couillet, , and #x003E;M.|Debbah, . Random beamforming over correlated fading channels. IEEE Transactions on Information Theory, 2011a. Submitted for publication.
#x003E;J.|Hoydis, , #x003E;R.|Couillet, , and #x003E;M.|Debbah, . Asymptotic analysis of double-scattering channels. In Proceedings of IEEE Conference Record of the Asilomar Conference on Signals, Systems, and Computers (ASILOMAR'11), Pacific Grove, CA, USA, 2011b.
#x003E;J.|Hoydis, , #x003E;M.|Debbah, , and #x003E;M.|Kobayashi, . Asymptotic moments for interference mitigation in correlated fading channels. In Proceedings of IEEE International Symposium on Information Theory (ISIT'11), Saint Petersburg, Russia, August 2011c. http://arxiv.org/abs/1104.4911.
#x003E;J.|Hoydis, , #x003E;M.|Kobayashi, , and #x003E;M.|Debbah, . Optimal channel training in uplink network mimo systems. IEEE Transactions on Signal Processing, 59(6), June 2011d.
#x003E;M.|Hoyhtya, , #x003E;A.|Hekkala, , and #x003E;A.|Mammela, . Spectrum awareness: techniques and challenges for active spectrum sensing. Springer Cognitive Networks, 3:353-372, April 2007.
#x003E;P. L.|Hsu, . On the distribution of roots of certain determinantal equations. The Annals of Eugenics, 9:250-258, 1939.
#x003E;H.|Huh, , #x003E;G.|Caire, , #x003E;S. H.|Moon, , and I. Lee. Multi-cell MIMO downlink with fairness criteria: the large-system limit. In Proceedings of IEEE International Symposium on Information Theory (ISIT'10), pages 2058-2062, June 2010.
#x003E;Y.|Hur, , #x003E;J.|Park, , #x003E;W.|Woo, , #x003E;K.|Lim, , #x003E;C. H.|Lee, , #x003E;H. S.|Kim, , and #x003E;J.|Laskar, . A wideband analog multi-resolution spectrum sensing (MRSS) technique for cognitive radio (CR) systems. In IEEE International Symposium on Circuits and Systems (ISCAS'06), page 4, Island of Kos, Greece, 2006.
#x003E;A. A.|Hutter, , #x003E;E.|Carvalho, , and #x003E;J. M. Cioffi, On the impact of channel estimation for multiple antenna diversity reception in mobile OFDM systems. Proceedings of IEEE Conference Record of the Asilomar Conference on Signals, Systems, and Computers (Asimolar'00), 2, 2000.
#x003E;C.|Hwang, . A brief survey on the spectral radius and the spectral distribution of large dimensional random matrices with i.i.d. entries. Random Matrices and Their Applications, 50:145-152, 1986.
#x003E;C.|Hwang, . Eigenvalue distribution of correlation matrix in asynchronous CDMA with infinite observation window width. In Proceedings of IEEE International Symposium on Information Theory (ISIT'07), Nice, France, June 2007.
#x003E;C.|Itzykson, and #x003E;J. B.|Zuber, . Quantum Field Theory. Dover Publications, 2006.
#x003E;A. T.|James, . Distributions of matrix variates and latent roots derived from normal samples. The Annals of Mathematical Statistics, 35(2):475-501, 1964.
#x003E;E. T.|Jaynes, . Information theory and statistical mechanics, Part I. Physical Review, 106(2):620-630, 1957a.
#x003E;E. T.|Jaynes, . Information theory and statistical mechanics, Part II. Physical Review, 108(2):[171-190, 1957b.
#x003E;E. T.|Jaynes, . Probability Theory: The Logic of Science. Cambridge University Press, 2003.
#x003E;H.|Jeffreys, . An invariant form for the prior probability in estimation problems. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 186(1007):453-461, 1946.
#x003E;S.|Jin, , #x003E;M. R.|McKay, , #x003E;X.|Gao, , and #x003E;I. B.|Collings, . MIMO multichannel beamforming: SER and outage using new eigenvalue distributions of complex noncentral Wishart matrices.IEEE Transactions on Communications, 56(3):424-434, 2008. http://arxiv.org/abs/0611007.
#x003E;N.|Jindal, . MIMO broadcast channels with finite-rate feedback. IEEE Transactions on Information Theory, 52(11):5045-5060, 2006.
#x003E;M.|Joham, , #x003E;K.|Kusume, , #x003E;M. H.|Gzara, , #x003E;W.|Utschick, , and #x003E;J. A.|Nossek, . Transmit Wiener filter for the downlink of TDD DS-CDMA systems. Proceedings of ISSSTA 2002, 1:9-13, 2002.
#x003E;K.|Johansson, . Shape uctuations and random matrices. Communications of Mathematical Physics, 209:437-476, 2000.
#x003E;I. M.|Johnstone, . On the distribution of the largest eigenvalue in principal components analysis. Annals of Statistics, 99(2):295-327, 2001.
#x003E;I. M.|Johnstone, . High dimensional statistical inference and random matrices. In International Congress of Mathematicians I, pages 307-333, Zürich, Germany, 2006. European Mathematical Society.
#x003E;F.|Kaltenberger, , #x003E;M.|Kountouris, , #x003E;D.|Gesbert, , and #x003E;R.|Knopp, . On the trade-off between feedback and capacity in measured MU-MIMO channels. IEEE Transactions on Wireless Communications, 8(9):4866-4875, 2009.
#x003E;M. A.|Kamath, , #x003E;B. L|Hughes, , and #x003E;Y.|Xinying, . Gaussian approximations for the capacity of MIMO Rayleigh fading channels. In Proceedings of IEEE Conference Record of the Asilomar Conference on Signals, Systems, and Computers (ASILOMAR'02), pages 614-618, Pacific Grove, CA, USA, 2002.
#x003E;A.|Kammoun, , #x003E;R.|Couillet, , #x003E;J.|Najim, , and #x003E;M.|Debbah, . Performance of capacity inference methods under colored interference, 2011. Submitted for publication.
#x003E;J. N.|Kapur, . Maximum Entropy Models in Science and Engineering. John Wiley and Sons, Inc., New York, 1989.
#x003E;N. El|Karoui, . Tracy-Widom limit for the largest eigenvalue of a large class of complex sample covariance matrices. The Annals of Probability, 35(2):663-714, 2007.
#x003E;N. El|Karoui, . Spectrum estimation for large dimensional covariance matrices using random matrix theory. Annals of Statistics, 36(6):2757-2790, December 2008.
#x003E;S. M.|Kay, . Fundamentals of Statistical Signal Processing: Estimation Theory. Prentice-Hall, Englewood Cliffs, NJ, USA, 1993.
#x003E;A. M.|Khorunzhy, , #x003E;B. A.|Khoruzhenko, , and Pastur, #x003E;L. A.. On asymptotic properties of large random matrices with independent entries.Journal of Mathematical Physics, 37(10):5033-5061, 1996.
H.|Kim and #x003E;K. G.|Shin, . In-band spectrum sensing in cognitive radio networks: energy detection or feature detection? In ACM Internatioanl Conference on Mobile Computing and Networking, pages 14-25, San Francisco, CA, USA, September 2008.
#x003E;P.|Koev, . Random matrix statistics toolbox. http://math.mit.edu/~plamen/ software/rmsref.html.
#x003E;V. I.|Kostylev, . Energy detection of a signal with random amplitude. In Proceedings of IEEE International Conference on Communications (ICC'02), pages 1606-1610, New York, NY, USA, 2002.
#x003E;L.|Laloux, , #x003E;P.|Cizeau, , #x003E;M.|Potters, , and #x003E;J. P.|Bouchaud, . Random matrix theory and financial correlations. International Journal of Theoretical and Applied Finance, 3(3):391-397, July 2000.
#x003E;J. Y. Le|Boudec, , #x003E;D.|McDonald, , and #x003E;J.|Mundinger, . A generic mean field convergence result for systems of interacting objects. In International Conference on the Quantitative Evaluation of Systems (QEST'07), Budapest, Hungary, 2007.
O. Levêque and #x003E;I. E.|Telatar, . Information-theoretic upper bounds on the capacity of large extended ad hoc wireless networks. IEEE Transactions on Information Theory, 51(3):858-865, March 2005.
#x003E;N.|Levy, and #x003E;S.|Shamai, . Clustered local decoding for Wyner-type cellular models. In Proceedings of IEEE Information Theory and Applications Workshop (ITA'09), pages 318-322, San Diego, CA, USA, 2009.
#x003E;L.|Li, , #x003E;A. M.|Tulino, , and #x003E;S.|Verdéu, . Design of reduced-rank MMSE multiuser detectors using random matrix methods. IEEE Transactions on Information Theory, 50(6):986-1008, June 2004.
#x003E;P.|Loubaton, and #x003E;W.|Hachem, . Asymptotic analysis of reduced rank wiener filters. In Proceedings of IEEE Information Theory Workshop (ITW'03), pages 328-331, Paris, France, 2003.
#x003E;S.|Loyka, . Channel capacity of MIMO architecture using the exponential correlation matrix. IEEE Communication Letters, 5(9):1350-1359, September 2001.
#x003E;A.|Lytova, and #x003E;L. A.|Pastur, . Central Limit Theorem for linear eigenvalue statistics of random matrices with independent entries. The Annals of Probability, 37(5):1778-1840, 2009.
#x003E;U.|Madhow, and #x003E;M. L.|Honig, . MMSE interference suppression for direct-sequence spread-spectrum CDMA. IEEE Transactions on Communications, 42(12): 3178-3188, December 1994.
#x003E;A.|Mantravadi, and #x003E;V. V.|Veeravalli, . Mmse detection in asynchronous cdma systems: An equivalence result. IEEE Transactions on Information Theory, 48(12):3128-3137, December 2002.
#x003E;I.|Maric, and #x003E;R. D.|Yates, . Bandwidth and power allocation for cooperative strategies in Gaussian relay networks. IEEE Transactions on Information Theory, 56(4):1880-1889, 2010.
#x003E;I.|Maric, , #x003E;A.|Goldsmith, , and #x003E;M.|Méedard, . Analog network coding in the high-SNR regime. In IEEE Wireless Network Coding Conference (WiNC'10), pages 1-6, Boston, MA, USA, 2010.
#x003E;C.|Martin, and #x003E;B.|Ottersten, . Asymptotic eigenvalue distributions and capacity for MIMO channels under correlated fading. IEEE Transactions on Wireless Communications, 3(4):1350-1359, July 2004.
#x003E;V. A.|Marĉenko, and #x003E;L. A.|Pastur, . Distributions of eigenvalues for some sets of random matrices. Math USSR-Sbornik, 1(4):457-483, April 1967.
#x003E;A.|Masucci, , #x003E;ø Ryan, , #x003E;S.|Yang, , and #x003E;M.|Debbah, . Finite dimensional statistical inference. IEEE Transactions on Information Theory, 57(4):2457-2473, 2011. ISSN 0018-9448.
#x003E;M. L.|McCloud, and #x003E;L. L.|Scharf, . A new subspace identification algorithm for high-resolution DOA estimation. IEEE Transactions on Antennas and Propagation, 50(10):1382-1390, 2002.
#x003E;M. L.|Mehta, . Random Matrices. ELSEVIER, San Diego, CA, USA, first edition, 2004.
#x003E;F.|Meshkati, , #x003E;H. V.|Poor, , #x003E;S. C.|Schwartz, , and #x003E;N. B.|Mandayam, . An energy-efficient approach to power control and receiver design in wireless data networks. IEEE Transactions on Communications, 53(11):1885-1894, November 2005.
#x003E;X.|Mestre, . On the asymptotic behavior of the sample estimates of eigenvalues and eigenvectors of covariance matrices. IEEE Transactions on Signal Processing, 56(11):5353-5368, November 2008a.
#x003E;X.|Mestre, . Improved estimation of eigenvalues of covariance matrices and their associated subspaces using their sample estimates. IEEE Transactions on Information Theory, 54(11):5113-5129, November 2008b.
#x003E;X.|Mestre, and #x003E;M.|Lagunas, . Modified subspace algorithms for DoA estimation with large arrays. IEEE Transactions on Signal Processing, 56(2):598-614, February 2008.
#x003E;X.|Mestre, , #x003E;J. R.|Fonollosa, , and #x003E;A.|Pagèes-Zamora, . Capacity of MIMO channels: asymptotic evaluation under correlated fading. IEEE Journal on Selected Areas in Communications, 21(5):829-838, June 2003.
#x003E;X.|Mestre, , #x003E;P.|Vallet, , #x003E;W.|Hachem, , and #x003E;P.|Loubaton, . Asymptotic analysis of a consistent subspace estimator for observations of increasing dimension. In Proceedings of IEEE Workshop on Statistical Signal Processing (SSP'11), Nice, France, 2011.
#x003E;M.|Méezard, , #x003E;G.|Parisi, , and #x003E;M.|Virasoro, . Spin Glass Theory and Beyond. World scientificSingapore, 1987. ISBN 9971501155.
#x003E;S. M.|Mishra, , #x003E;A.|Sahai, , and #x003E;R.|Brodersen, . Cooperative sensing among cognitive radios. In Proceedings of IEEE International Conference on Communications (ICC'06), pages 1658-1663, Istanbul, Turkey, 2006.
#x003E;J.|Mitola, III and #x003E;G. Q.|Maguire, Jr. Cognitive radio: making software radios more personal. IEEE Personal Communication Magazine, 6(4):13-18, 1999.
#x003E;S.|Moshavi, , #x003E;E. G.|Kanterakis, , and #x003E;D. L.|Schilling, . Multistage linear receivers for DS-CDMA systems. International Journal of Wireless Information Networks, 3(1):1-17, 1996.
#x003E;A. L.|Moustakas, and #x003E;S. H.|Simon, . Optimizing multiple-input single output (MISO) communication with general Gaussian channels: nontrivial covariance and non-zero mean. IEEE Transactions on Information Theory, 49(10):2770-2780, October 2003.
#x003E;A. L.|Moustakas, and #x003E;S. H.|Simon, . Random matrix theory of multi-antenna communications: the Rician channel. Journal of Physics A: Mathematical and General, 38(49):10859-10872, November 2005.
#x003E;A. L.|Moustakas, and #x003E;S. H.|Simon, . On the outage capacity of correlated multiple-path MIMO channels. IEEE Transactions on Information Theory, 53(11): 3887-3903, 2007.
#x003E;A. L.|Moustakas, , #x003E;H. U.|Baranger, , #x003E;L.|Balents, , #x003E;A. M.|Sengupta, , and #x003E;S. H.|Simon, . Communication through a diffusive medium: Coherence and capacity. Science, 287:287-290, 2000.
#x003E;R. J.|Muirhead, . Aspects of Multivariate Statistical Theory. Wiley Online Library, 1982.
#x003E;R.|Müller, . Multiuser receivers for randomly spread signals: fundamental limits with and without decision-feedback. IEEE Transactions on Information Theory, 47(1):268-283, January 2001.
#x003E;R.|Müller, . On the asymptotic eigenvalue distribution of concatenated vector-valued fading channels. IEEE Transactions on Information Theory, 48(7):2086-2091, July 2002.
#x003E;R.|Müller, . Channel capacity and minimum probability of error in large dual antenna array systems with binary modulation. IEEE Transactions on Signal Processing, 51(11):2821-2828, 2003.
#x003E;R.|Müller, and #x003E;S.|Verdú, . Design and analysis of low-complexity interference mitigation on vector channels. IEEE Journal on Selected Areas in Communications, 19(8):1429-1441, August 2001.
#x003E;A.|Nica, and #x003E;R.|Speicher, . On the multiplication of free N-tuples of noncommutative random variables. American Journal of Mathematics, 118: 799-837, 1996.
#x003E;H.|Nishimori, . Statistical Physics of Spin Glasses and Information Processing: An Introduction. Clarendon Press, Gloucestershire, UK, July 2001.
#x003E;C.|Oestges, , #x003E;B.|Clerckx, , #x003E;M.|Guillaud, , and #x003E;M.|Debbah, . Dual-polarized wireless communications: from propagation models to system performance evaluation. IEEE Transactions on Wireless Communications, 7(10):4019-4031, October 2008.
#x003E;H.|Ozcelik, , #x003E;M.|Herdin, , #x003E;W.|Weichselberger, , #x003E;J.|Wallace, , and #x003E;E.|Bonek, . Deficiencies of Kronecker MIMO radio channel model. Electronics Letters, 39(16):1209-1210, 2003.
#x003E;L. A.|Pastur, . A simple approach to global regime of random matrix theory. In Mathematical Results in Statistical Mechanics, pages 429-454. World Scientific Publishing, 1999.
#x003E;D.|Paul, . Asymptotics of sample eigenstructure for a large dimensional spiked covariance model. Statistica Sinica, 17(4):1617, 2007.
#x003E;M. J. M.|Peacock, , #x003E;I. B.|Collings, , and #x003E;M. L.|Honig, . Eigenvalue distributions of sums and products of large random matrices via incremental matrix expansions. IEEE Transactions on Information Theory, 54(5):2123-2138, 2008.
#x003E;C. B.|Peel, , #x003E;B. M.|Hochwald, , and #x003E;A. L.|Swindlehurst, . A vector-perturbation technique for near-capacity multiantenna multiuser communication, Part I: channel inversion and regularization. IEEE Transactions on Communications, 53(1):195-202, 2005.
#x003E;D.|Petz, and #x003E;J.|Réeffy, . On asymptotics of large Haar distributed unitary matrices. Periodica Mathematica Hungarica, 49(1):103-117, September 2004.
#x003E;V.|Plerous, , #x003E;P.|Gopikrishnan, , #x003E;B.|Rosenow, , #x003E;L.|Amaral, , #x003E;T.|Guhr, , and #x003E;H.|Stanley, . Random matrix approach to cross correlations in financial data. Phys. Rev. E, 65(6), June 2002.
#x003E;T. S.|Pollock, , #x003E;T. D.|Abhayapala, , and #x003E;R. A.|Kennedy, . Antenna saturation effects on dense array MIMO capacity. In Proceedings of IEEE International Conference on Communications (ICC'03), pages 2301-2305, Anchorage, Alaska, 2003.
#x003E;H. V.|Poor, . An Introduction to Signal Detection and Estimation. Springer, 1994.
#x003E;H. V.|Poor, and #x003E;S.|Verdü, Probability of error in MMSE multiuser detection. IEEE Transactions on Information Theory, 43(3):858-871, 1997.
#x003E;N. R.|Rao, and #x003E;A.|Edelman, . The polynomial method for random matrices.Foundations of Computational Mathematics, 8(6):649-702, December 2008.
#x003E;N. R.|Rao, , #x003E;J. A.|Mingo, , #x003E;R.|Speicher, , and #x003E;A.|Edelman, . Statistical eigen-inference from large Wishart matrices. Annals of Statistics, 36(6):2850-2885, December 2008.
#x003E;P.|Rapajic, and #x003E;D.|Popescu, . Information capacity of random signature multiple-input multiple output channel. IEEE Transactions on Communications, 48(8):1245-1248, August 2000.
#x003E;T.|Ratnarajah, and #x003E;R.|Vaillancourt, . Complex singular Wishart matrices and applications. Computers and Mathematics with Applications, 50(3-4):399-411, 2005.
#x003E;T.|Ratnarajah, , #x003E;R.|Vaillancourt, , and #x003E;M.|Alvo, . Eigenvalues and condition numbers of complex random matrices. SIAM Journal on Matrix Analysis and Applications, 26(2):441-456, 2005a.
#x003E;T.|Ratnarajah, , #x003E;R.|Vaillancourt, , and #x003E;M.|Alvo, . Complex random matrices and Rician channel capacity. Problems of Information Transmission, 41(1):1-22, 2005b.
#x003E;S. N.|Roy, . p-statistics or some generalizations in the analysis of variance appropriate to multi-variate problems. Sankhya: The Indian Journal of Statistics, 4:381-396, 1939.
#x003E;W.|Rudin, . Real and Complex Analysis. McGraw-Hill Series in Higher Mathematics, third edition, May 1986.
#x003E;ØRyan, . Tools for convolution with finite Gaussian matrices, 2009a. http://folk.uio.no/oyvindry/finitegaussian/.
#x003E;Ø.|Ryan, . Documentation for the random matrix library, 2009b.http://folk.uio.no/oyvindry/rmt/doc.pdf.
#x003E;Ø.|Ryan, and #x003E;M.|Debbah, . Free deconvolution for signal processing applications. In Proceedings of IEEE International Symposium on Information Theory (ISIT'07), pages 1846-1850, Nice, France, June 2007a.
#x003E;Ø.|Ryan, and #x003E;M.|Debbah, . Multiplicative free convolution and information plus noise type matrices, 2007b. http://arxiv.org/abs/math/0702342.
#x003E;Ø.|Ryan, and #x003E;M.|Debbah, . Asymptotic behavior of random Vandermonde matrices with entries on the unit circle. IEEE Transactions on Information Theory, 55(7):3115-3148, July 2009.
#x003E;Ø.|Ryan, and #x003E;M.|Debbah, . Convolution operations arising from Vandermonde matrices. IEEE Transactions on Information Theory, 2011. http://arxiv.org//abs/0910.4624. To appear.
#x003E;S.|Sarafijanovic, and #x003E;J. Y. Le|Boudec, . An artificial immune system approach with secondary response for misbehavior detection in mobile ad-hoc networks. IEEE Transactions on Neural Networks, Special Issue on Adaptive Learning Systems in Communication Networks, 16(5):1076-1087, 2005.
#x003E;A.|Scaglione, . Statistical analysis of the capacity of MIMO frequency selective Rayleigh fading channels with arbitrary number of inputs and outputs. In Proceedings of IEEE International Symposium on Information Theory (ISIT'02), page 278, Lausanne, Switzerland, July 2002.
#x003E;L.|Scharf, . Statistical Signal Processing: Detection, Estimation and Time-Series Analysis. Addison-Wesley, Boston, MA, USA, 1991.
Schmidt, #x003E;R.. Multiple emitter location and signal parameter estimation. IEEE Transactions on Antennas and Propagation, 34(3):276-280, 1986.
#x003E;P.|Schramm, and #x003E;R.|Müller, . Spectral efficiency of CDMA systems with linear MMSE interference suppression. IEEE Transactions on Communications, 47(5):722-731, May 1999.
#x003E;E.|Seneta, . Non-negative Matrices and Markov Chains. Springer Verlag, New York, second edition, 1981.
#x003E;A. M.|Sengupta, and #x003E;P. P.|Mitra, . Capacity of multivariate channels with multiplicative noise: random matrix techniques and large-N expansions for full transfer matrices. Journal of Statistical Physics, 125(5-6):1223-1242, December 2006.
#x003E;R.|Séeroul, . Programming for Mathematicians. Springer Universitext, New York, NY, USA, February 2000.
#x003E;S.|Sesia, , #x003E;I.|Toufik, , and #x003E;M.|Baker, . LTE, The UMTS Long Term Evolution: From Theory to Practice. John Wiley and Sons, Inc., 2009.
#x003E;S.|Shamai, and #x003E;S.|Verdéu, . The impact of frequency-flat fading on the spectral efficiency of CDMA. IEEE Transactions on Information Theory, 47(4):1302-1327, 2001.
#x003E;C.|Shannon, . A mathematical theory of communication. Bell System Technical Journal, 27:379-423, 1948.
#x003E;G.|Sharma, , #x003E;A.|Ganesh, , and #x003E;P.|Key, . Performance analysis of random access scheduling schemes. In Proceedings of IEEE International Conference on Computer Communications (INFOCOM'06), Barcelona, Spain, April 2006.
#x003E;S.|Shi, , #x003E;M.|Schubert, , and #x003E;H.|Boche, . Rate optimization for multiuser MIMO systems with linear processing, Part II. IEEE Transactions on Signal Processing, 56(8):4020-4030, 2008.
>#x003E;J.|Shore, and #x003E;R.|Johnson, . Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy. IEEE Transactions on Information Theory, 26(1):26-37, 1980.
#x003E;J. W.|Silverstein, . On the randomness of eigenvectors generated from networks with random topologies. SIAM Journal on Applied Mathematics, 37(2):235-245, 1979.
#x003E;J. W.|Silverstein, . Describing the behavior of eigenvectors of random matrices using sequences of measures on orthogonal groups. SIAM Journal on Mathematical Analysis, 12(2):274-281, 1981.
#x003E;J. W.|Silverstein, . Some limit theorems on the eigenvectors of large dimensional sample covariance matrices. Journal of Multivariate Analysis, 15(3):295-324, 1984.
#x003E;J. W.|Silverstein, . Eigenvalues and eigenvectors of large dimensional sample covariance matrices. Random Matrices and their Applications, pages 153-159, 1986.
#x003E;J. W.|Silverstein, and #x003E;Z. D.|Bai, . On the empirical distribution of eigenvalues of a class of large dimensional random matrices. Journal of Multivariate Analysis, 54(2):175-192, 1995.
#x003E;J. W.|Silverstein, and #x003E;S.|Choi, . Analysis of the limiting spectral distribution of large dimensional random matrices. Journal of Multivariate Analysis, 54(2):295-309, 1995.
#x003E;J. W.|Silverstein, , #x003E;Z. D.|Bai, , and #x003E;Y. Q.|Yin, . A note on the largest eigenvalue of a large dimensional sample covariance matrix. Journal of Multivariate Analysis, 26(2):166-168, 1988.
#x003E;M. K.|Simon, , #x003E;F. F.|Digham, , and #x003E;M. S.|Alouini, . On the energy detection of unknown signals over fading channels. In Proceedings of IEEE International Conference on Communications (ICC'03), Anchorage, Alaska, 2003.
#x003E;S. H.|Simon, , #x003E;A. L.|Moustakas, , and #x003E;L.|Marinelli, . Capacity and character expansions: Moment generating function and other exact results for MIMO correlated channels. IEEE Transactions on Information Theory, 52(12):5336-5351, 2006.
#x003E;O.|Somekh, , #x003E;B. J.|Zaidel, , and #x003E;S.|Shamai, . Spectral efficiency of joint multiple cell-sites processors for randomly spread DS-CDMA. In Proceedings of IEEE International Symposium on Information Theory (ISIT'04), Chicago, CA, USA, July 2004.
#x003E;O.|Somekh, , #x003E;B. M.|Zaidel, , and #x003E;S.|Shamai, . Sum rate characterization of joint multiple cell-site processing. IEEE Transactions on Information Theory, 53(12):4473-4497, 2007.
#x003E;R.|Speicher, . Combinatorial theory of the free product with amalgamation and operator-valued free probability theory. Memoirs of the American Mathematical Society, 627:1-88, 1998.
#x003E;C.|Sun, , #x003E;W.|Zhang, , and #x003E;K. B.|Letaief, . Cooperative spectrum sensing for cognitive radios under bandwidth constraints. In Proceedings of IEEE Wireless Communications & Networking Conference (WCNC'07), pages 1-5, Hong Kong, 2007a.
#x003E;C.|Sun, , #x003E;W.|Zhang, , and #x003E;K. B.|Letaief, . Cluster-based cooperative spectrum sensing in cognitive radio systems. In Proceedings of IEEE International Conference on Communications (ICC'07), pages 2511-2515, Glasgow, Scotland, 2007b.
#x003E;T.|Tanaka, . A statistical-mechanics approach to large-system analysis of CDMA multiuser detectors. IEEE Transactions on Information Theory, 48(11):2888-2910, 2002.
#x003E;R.|Tandra, and #x003E;A.|Sahai, . Fundamental limits on detection in low SNR under noise uncertainty. In International Conference on Wireless Networks, Communications and Mobile Computing, pages 464-469, 2005.
#x003E;R.|Tandra, , #x003E;M.|Mishra, , and #x003E;A.|Sahai, . What is a spectrum hole and what does it take to recognize one?Proceedings of the IEEE, 97(5):824-848, 2009.
#x003E;G.|Taricco, . Asymptotic mutual information statistics of separately correlated Rician fading MIMO channels. IEEE Transactions on Information Theory, 54(8):3490-3504, 2008.
#x003E;I. E.|Telatar, . Capacity of multi-antenna Gaussian channels. Bell Labs, Technical Memorandum, pages 585-595, 1995.
#x003E;I. E.|Telatar, . Capacity of multi-antenna Gaussian channels. European Transactions on Telecommunications, 10(6):585-595, February 1999.
#x003E;Z.|Tian, and #x003E;G. B.|Giannakis, . A wavelet approach to wideband spectrum sensing for cognitive radios. In International Conference on Cognitive Radio Oriented Wireless Networks and Communications (CROWCOM'06), pages 1-5, Mykonos Island, Greece, 2006.
#x003E;E. C.|Titchmarsh, . The Theory of Functions. Oxford University Press, New York, NY, USA, 1939.
#x003E;C. A.|Tracy, and #x003E;H.|Widom, . On orthogonal and symplectic matrix ensembles. Communications in Mathematical Physics, 177(3):727-754, 1996.
#x003E;D. N. C.|Tse, and #x003E;S. V.|Hanly, . Multiaccess fading channels. I. Polymatroid structure, optimal resource allocation and throughput capacities. IEEE Transactions on Information Theory, 44(7):2796-2815, 1998.
#x003E;D. N. C.|Tse, and #x003E;S. V.|Hanly, . Linear multiuser receivers: effective interference, effective bandwidth and user capacity. IEEE Transactions on Information Theory, 45(2):641-657, February 1999.
#x003E;D. N. C.|Tse, and #x003E;S.|Verdú, . Optimum asymptotic multiuser efficiency of randomly spread CDMA. IEEE Transactions on Information Theory, 46(7):2718-2722, July 2000.
#x003E;D. N. C.|Tse, and #x003E;P.|Viswanath, . Fundamentals of Wireless Communication. Cambridge University Press, Cambridge, UK, 2005.
#x003E;D. N. C.|Tse, and #x003E;O.|Zeitouni, . Linear multiuser receivers in random environments. IEEE Transactions on Information Theory, 46(1):171-188, January 2000.
#x003E;D. N. C.|Tse, and #x003E;L.|Zheng, . Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels. IEEE Transactions on Information Theory, 49(5):1073-1096, 2003.
#x003E;G. H.|Tucci, . A Note on Averages over Random Matrix Ensembles. IEEE Transactions on Information Theory, 2010. http://arxiv.org/abs/0910.0575. Submitted for publication.
#x003E;G. H.|Tucci, and #x003E;P. A.|Whiting, . Eigenvalue results for large scale random Vandermonde matrices with unit complex entries. IEEE Transactions on Information Theory, 2010. To appear.
#x003E;A. M.|Tulino, and #x003E;S.|Verdú, . Random matrix theory and wireless communications. Foundations and Trends in Communications and Information Theory, 1(1), 2004.
#x003E;A. M.|Tulino, and #x003E;S.|Verdéu, . Impact of antenna correlation on the capacity of multiantenna channels. IEEE Transactions on Information Theory, 51(7): 2491-2509, 2005.
#x003E;A. M.|Tulino, , #x003E;S.|Verdú, , and #x003E;A.|Lozano, . Capacity of antenna arrays with space, polarization and pattern diversity. In Proceedings of IEEE Information Theory Workshop (ITW'03), pages 324-327, Paris, France, 2003.
#x003E;A. M.|Tulino, , #x003E;L.|Li, , and #x003E;S.|Verdú, . Spectral effiency of multicarrier CDMA. IEEE Transactions on Information Theory, 51(2):479-505, 2005.
#x003E;H.|Urkowitz, . Energy detection of unknown deterministic signals. Proceedings of the IEEE, 55(4):523-531, 1967.
#x003E;P.|Vallet, and #x003E;P.|Loubaton, . A G-estimator of the MIMO channel ergodic capacity. In Proceedings of IEEE International Symposium on Information Theory (ISIT'09), pages 774-778, Seoul, Korea, June 2009.
#x003E;P.|Vallet, , #x003E;P.|Loubaton, , and #x003E;X.|Mestre, . Improved subspace estimation for multivariate observations of high dimension: the deterministic signals case. IEEE Transactions on Information Theory, 2010. http://arxiv.org/abs/1002.3234. Submitted for publication.
#x003E;P.|Vallet, , #x003E;W.|Hachem, , #x003E;P.|Loubaton, , #x003E;X.|Mestre, , and #x003E;J.|Najim, . On the consistency of the G-MUSIC DoA estimator. In Proceedings of IEEE Workshop on Statistical Signal Processing (SSP'11), Nice, France, 2011a.
#x003E;P.|Vallet, , #x003E;W.|Hachem, , #x003E;P.|Loubaton, , #x003E;X.|Mestre, , and #x003E;J.|Najim, . An improved music algorithm based on low-rank perturbation of large random matrices. In Proceedings of IEEE Workshop on Statistical Signal Processing (SSP'11), Nice, France, 2011b.
#x003E;A. W. Van|der Vaart, . Asymptotic Statistics. Cambridge University Press, New York, 2000.
#x003E;H. L.|Vantrees, . Detection, Estimation and Modulation Theory. Wiley and Sons, 1968.
#x003E;S.|Verdú, and #x003E;S.|Shamai, . Spectral efficiency of CDMA with random spreading. IEEE Transactions on Information Theory, 45(2):622-640, February 1999.
#x003E;S.|Viswanath, , #x003E;N.|Jindal, , and #x003E;A.|Goldsmith, . Duality, achievable rates, and sum-rate capacity of Gaussian MIMO broadcsat channels. IEEE Transactions on Information Theory, 49(10):2658-2668, 2003.
#x003E;H.|Viswanathan, and #x003E;S.|Venkatesan, . Asymptotics of sum rate for dirty paper coding and beamforming in multiple-antenna broadcast channels. Proceedings of IEEE Annual Allerton Conference on Communication, Control, and Computing (Allerton'03), 41(2):1064-1073, 2003.
#x003E;D.|Voiculescu, . Addition of certain non-commuting random variables. Journal of functional analysis, 66(3):323-346, 1986.
#x003E;D.|Voiculescu, . Multiplication of certain non-commuting random variables. J. Operator Theory, 18:223-235, 1987.
#x003E;D.|Voiculescu, . Limit laws for random matrices and free products. Inventiones Mathematicae, 104(1):201-220, December 1991.
#x003E;D.|Voiculescu, , #x003E;K. J.|Dykema, , and #x003E;A.|Nica, . Free random variables. American Mathematical Society, 1992.
#x003E;S.|Wagner, , #x003E;R.|Couillet, , #x003E;M.|Debbah, , and #x003E;D. T. M.|Slock, . Large system analysis of linear precoding in MISO broadcast channels with limited feedback. IEEE Transactions on Information Theory, 2011. http://arxiv.org/abs/0906.3682. Submitted for publication.
#x003E;B.|Wang, , #x003E;K. J.|Liu, , and T. Clancy. Evolutionary cooperative spectrum sensing game: how to collaborate?IEEE Transactions on Communications, 58(3): 890-900, March 2010. ISSN 0090-6778.
#x003E;J. G.|Wardrop, . Road paper: some theoretical aspects of road traffic research. ICE Proceedings, Engineering Divisions, 1(3):325-362, 1952.
#x003E;M.|Wax, and #x003E;T.|Kailath, . Detection of signals by information theoretic criteria. IEEE Transactions on Signal, Speech and Signal Processing, 33(2):387-392, 1985.
#x003E;W.|Weichselberger, , #x003E;M.|Herdin, , #x003E;H.|Özcelik, , and #x003E;E.|Bonek, . A stochastic MIMO channel model with joint correlation of both link ends. IEEE Transactions on Wireless Communications, 5(1):90-100, 2006. ISSN 1536-1276.
#x003E;H.|Weingarten, , #x003E;Y.|Steinberg, , and S. Shamai. The capacity region of the Gaussian multiple-input multiple-output broadcast channel. IEEE Transactions on Information Theory, 52(9):3936-3964, 2006.
#x003E;A.|Wiesel, , #x003E;Y. C.|Eldar, , and #x003E;S.|Shamai, . Zero-forcing precoding and generalized inverses. IEEE Transactions on Signal Processing, 56(9):4409-4418, 2008.
#x003E;E.|Wigner, . Characteristic vectors of bordered matrices with infinite dimensions. The Annals of Mathematics, 62(3):548-564, November 1955.
#x003E;E.|Wigner, . On the distribution of roots of certain symmetric matrices. The Annals of Mathematics, 67(2):325-327, March 1958.
#x003E;J.|Wishart, . The generalized product moment distribution in samples from a normal multivariate population. Biometrika, 20(1-2):32-52, December 1928.
#x003E;A. D.|Wyner, . Shannon-theoretic approach to a Gaussian cellular multiple access channel. IEEE Transactions on Information Theory, 40(6):1713-1727, 1994.
#x003E;S.|Yang, and #x003E;J. C.|Bel, fiore. Diversity of MIMO multihop relay channels. IEEE Transactions on Information Theory, 2008. http://arxiv.org/abs/0708.0386. Submitted for publication.
#x003E;J.|Yao, , #x003E;R.|Couillet, , #x003E;J.|Najim, , #x003E;E.|Moulines, , and #x003E;M.|Debbah, . CLT for eigen-inference methods in cognitive radios. In Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP'11), Prague, Czech Republic, 2011. To appear.
#x003E;R. D.|Yates, . A framework for uplink power control in cellular radio systems. IEEE Journal on Selected Areas in Communications, 13(7):1341-1347, 1995.
#x003E;Y. Q.|Yin, , #x003E;Z. D.|Bai, , and #x003E;P. R.|Krishnaiah, . On the limit of the largest eigenvalue of the large dimensional sample covariance matrix. Probability Theory and Related Fields, 78(4):509-521, 1988.
#x003E;T.|Yoo, and #x003E;A.|Goldsmith, . On the optimality of multiantenna broadcast scheduling using zero-forcing beamforming. IEEE Journal on Selected Areas in Communications, 24(3):528-541, 2006.
#x003E;W.|Yu, and #x003E;J. M.|Cioffi, . Sum capacity of Gaussian vector broadcast channels. IEEE Transactions on Information Theory, 50(9):1875-1892, 2004.
#x003E;B. M.|Zaidel, , #x003E;S.|Shamai, , and #x003E;S.|Verdú, . Multicell uplink spectral efficiency of coded DS-CDMA with random signatures. IEEE Journal on Selected Areas in Communications, 19(8):1556-1569, August 2001.
#x003E;A.|Zellner, . An Introduction to Bayesian Inference in Econometrics. John Wiley and Sons, Inc., New York, second edition, 1971.
#x003E;Y.|Zeng, and #x003E;Y. C.|Liang, . Eigenvalue based spectrum sensing algorithms for cognitive radio. IEEE Transactions on Communications, 57(6):1784-1793, 2009.
#x003E;W.|Zhang, and #x003E;K. B.|Letaief, . Cooperative spectrum sensing with transmit and relay diversity in cognitive networks. IEEE Transactions on Wireless536 References Communications, 7(12):4761-4766, December 2008.

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Book summary page views

Total views: 0 *
Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.