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Random Matrix Theory and Wireless Communications
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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Cited by
Energy and spectral efficiency of very large multiuser MIMO systems
Ngo, H. Q., Larsson, E. G., & Marzetta, T. L. (2013) · IEEE Transactions on Communications · doi:10.1109/tcomm.2013.020413.110848 · Cited by 3,173
Multi-Cell MIMO Cooperative Networks: A New Look at Interference
Gesbert, D., Hanly, S., Huang, H., Shamai Shitz, S., Simeone, O., & Yu, W. (2010) · IEEE Journal on Selected Areas in Communications · doi:10.1109/jsac.2010.101202 · Cited by 1,760
Eigenvalue-based spectrum sensing algorithms for cognitive radio
Zeng, Y., & Liang, Y.-C. (2009) · IEEE Transactions on Communications · doi:10.1109/tcomm.2009.06.070402 · Cited by 1,258
Foundations of MIMO Communication
Heath Jr, R. W., & Lozano, A. (2018) · Cambridge University Press eBooks · doi:10.1017/9781139049276 · Cited by 426
Multipair Full-Duplex Relaying With Massive Arrays and Linear Processing
Ngo, H. Q., Suraweera, H. A., Matthaiou, M., & Larsson, E. G. (2014) · IEEE Journal on Selected Areas in Communications · doi:10.1109/jsac.2014.2330091 · Cited by 398
Secure Transmission in Multicell Massive MIMO Systems
Zhu, J., Schober, R., & Bhargava, V. K. (2014) · IEEE Transactions on Wireless Communications · doi:10.1109/twc.2014.2337308 · Cited by 300
Cause and cure of sloppiness in ordinary differential equation models
Tönsing, C., Timmer, J., & Kreutz, C. (2014) · Physical Review E · doi:10.1103/physreve.90.023303 · Cited by 33
Metadata
- Authors
- Tulino, A. M., & Verdú, S.
- Venue
- Foundations and Trends™ in Communications and Information Theory
- Publisher
- Emerald
- Published
- 2004
- Volume
- 1
- Issue
- 1
- Pages
- 1-182
- ISSN
- 1567-2190 (ISSN-L)
- 1567-2328
- OpenAlex
- W2072184935
- Cited by
- 2,034
- References
- 0
- FWCI
- 58.06
- Type
- journal article
- Language
- en
- Open access
- closed
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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
