Random Matrix Methods for Wireless Communications

An introduction to random matrix theory and its applications to real-world problems in signal processing and wireless communications.

Romain Couillet (Author), Mérouane Debbah (Author)

9781107011632, Cambridge University Press

Hardback, published 29 September 2011

562 pages, 91 b/w illus. 8 tables
24.9 x 17.5 x 3 cm, 1.16 kg

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 probability 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 explanation of the key results and all fundamental lemmas required for the reader 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, including 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.

1. Introduction
Part I. Theoretical Aspects: 2. Random matrices
3. The Stieltjes transform method
4. Free probability theory
5. Combinatoric approaches
6. Deterministic equivalents
7. Spectrum analysis
8. Eigen-inference
9. Extreme eigenvalues
10. Summary and partial conclusions
Part II. Applications to Wireless Communications: 11. Introduction to applications in telecommunications
12. System performance of CDMA technologies
13. Performance of multiple antenna systems
14. Rate performance in multiple access and broadcast channels
15. Performance of multi-cellular and relay networks
16. Detection
17. Estimation
18. System modeling
19. Perspectives
20. Conclusion.

Subject Areas: Signal processing [UYS], Communications engineering / telecommunications [TJK], Electronics & communications engineering [TJ]