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Random Matrix Methods for Wireless Communications
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Random Matrix Methods for Wireless Communications
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Random Matrix Methods for Wireless Communications
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 probabil-
ity 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 explana-
tions of the key results and all fundamental lemmas required for the readers 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, includ-
ing 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.
Romain Couillet is an Assistant Professor at the Chair on System Sciences and the
Energy Challenge at Sup
´
elec, France. Previously he was an Algorithm Development
Engineer for ST-Ericsson, and he received his PhD from Sup
´
elec in 2010.
M
´
erouane Debbah is a Professor at Sup
´
elec, where he holds the Alcatel-Lucent Chair
on Flexible Radio. He is the recipient of several awards, including the 2007 General
Symposium IEEE Globecom best paper award and the Wi-Opt 2009 best paper award.
Random Matrix Methods for
Wireless Communications
Romain Couillet and M
´
erouane Debbah
´
Ecole Sup
´
erieure d’
´
Electricit
´
e, Gif sur Yvette, France
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