Random matrix theory and wireless communications

Antonia M. Tulino, Sergio Verdú

Research output: Contribution to journalArticlepeer-review

1159 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)1-182
Number of pages182
JournalFoundations and Trends in Communications and Information Theory
Issue number1
StatePublished - 2004

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Applied Mathematics


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