Random matrix methods for wireless communications
By: Romain Couillet, Merouane Debbah
Contributors: Debbah, Merouane, 1975-
Publisher: Cambridge University Press
Published: 2011
Place of publication: Cambridge; New York
Language: eng
ISBN-13: 9781107011632
Subjects: Wireless communication systems; Mathematics; TECHNOLOGY & ENGINEERING / Mobile & Wireless Communications; Matrix analytic methods
Description: "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"--
Notes: Includes bibliographical references and index.
Table of contents: title: Machine generated contents note: 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.