Majorization Theory and Matrix-Monotone Functions in Wireless Communications, reviews the basic definitions of Majorization Theory and Matrix-Monotone Functions, describing their concepts clearly with many illustrative examples. In addition to this tutorial, new results are presented with respect to Schur-convex functions and regarding the properties of matrix-monotone functions. The approach taken by the authors provides a valuable overview of the basic techniques for readers who are new to the subject. They then proceed to show in separate chapters the cutting edge applications of the two basic theories in wireless communications Majorization Theory and Matrix-Monotone Functions in Wireless Communications is an invaluable resource for students, researchers and practitioners involved in the state-of-the-art design of wireless communication systems.
Author(s): Eduard Jorswieck, Holger Boche
Series: Foundations and Trends in Communcations and Information Theory
Publisher: Now Publishers Inc
Year: 2007
Language: English
Commentary: 49786
Pages: 164
Majorization Theory......Page 12
Matrix-Monotone Functions......Page 14
Classification and Organization......Page 15
Notation......Page 18
Majorization Theory......Page 20
Definition and Examples......Page 21
Basic Results......Page 29
Majorization and Optimization......Page 41
Definition and Examples......Page 44
Basic Characterizations......Page 54
Matrix Norms......Page 58
Further Properties......Page 63
Spatial Correlation in Multiple Antenna Systems......Page 70
User Distribution in Cellular Communication Systems......Page 97
Generalized Multiple Antenna Performance Measures......Page 114
Optimization of Matrix-Monotone Functions......Page 125
Linear Algebra......Page 144
Convex Optimization......Page 145
Acknowledgments......Page 152
References......Page 154
