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Random Matrix Theory and Wireless Communications
Foundations and Trends® in
Communications and Information Theory
Volume 1 Issue 1
DOI: 10.1561/0100000001
Random Matrix Theory and Wireless Communications
Antonia M. Tulino
Dept. Ingegneria Elettronica e delle Telecomunicazioni Universitá degli Studi di Napoli “Federico II”, Naples 80125, Italy,
atulino@ee.princeton.edu
Sergio Verdú
Dept. Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA, verdu@princeton.edu
Abstract
Random matrix theory has found many applications in physics, statistics and engineering since its inception. Although early
developments were motivated by practical experimental problems, random matrices are now used in fields as diverse as Riemann
hypothesis, stochastic differential equations, condensed matter physics, statistical physics, chaotic systems, numerical linear
algebra, neural networks, multivariate statistics, information theory, signal processing and small-world networks. This article
provides a tutorial on random matrices which provides an overview of the theory and brings together in one source the most
significant results recently obtained. Furthermore, the application of random matrix theory to the fundamental limits of wireless
communication channels is described in depth.
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