Random Matrices, Painleve Transcendents and the Information Theory of MIMO Wireless Communication Systems
Speaker:Prof. Matthew Mckay
Department of Electronic and Computer Engineering
Hong Kong University of Science and Technology
Date & Time:7 Sep 2012 (Friday) 11:00
Organized by:Department of Mathematics


MIMO systems form the foundation of virtually all emerging wireless communication standards and will dominate the market in the future. We show in this talk that basic fundamental questions regarding the achievable capacity limits of such systems still remain unsolved. Specifically, the plethora of existing work focusing on MIMO capacity typically deals with obtaining (i) exact theoretical characterizations, which are usually too complicated to yield engineering insight, or (ii) asymptotic characterizations, which are often too approximate to capture the key features of the wireless system. To address this problem, this talk will introduce powerful new approaches from statistical physics which provide fundamental representations for the distributional properties of the MIMO capacity. A key feature of this analysis is a deep underlying connection which we establish with classical Painleve differential equations, obtained using the theory of random matrices and orthogonal polynomials. This yields important insight into the effect of the number of antennas and the signal to noise ratio; for example, explaining when and why Gaussian approximations are valid, which is not identifiable with previous methods. We also propose new closed-form approximations for the capacity distribution which are extremely accurate. The proposed methods are very general with potential applications to many other problems in communications and signal processing, which will be briefly discussed if time permits.


Prof. Matthew Mckay is currently an Associate Professor in Department of Electronic and Computer Engineering, as well as, a member of the Center for Wireless Information Technology at Hong Kong University of Science and Technology. He obtained his PhD degree in Electrical Engineering from the University of Sydney. Prof. Mckay received various awards, such as, Best Paper Award at IEEE ICC 2011, 2011 Young Investigator Research Award and 2011 Stephen O. Rice Prize in the Field of Communication Theory. He is interested in studying research interests include communications and signal processing; in particular the analysis and design of MIMO systems, random matrix theory, information theory, wireless ad-hoc and sensor networks, and physical layer security. The publications of Prof. Mckay includes, On the Distribution of MIMO Mutual Information: An In-Depth Painleve Based Characterization, On the Design of Artificial-Noise-Aided Secure Multi-Antenna Transmission in Slow Fading Channels, Distributions of Demmel and Related Condition Numbers etc.