Resource Allocation in Wireless Networks: Theory and Algorithms

Sławomir Stańczak, Marcin Wiczanowski, Holger Boche (auth.)3540462481, 9783540462484

The wireless industry is in the midst of a fundamental shift from providing voice-only services to offering customers an array of multimedia services, including a wide variety of audio, video and data communications capabilities. Future wireless networks will be integrated into every aspect of daily life, and therefore could affect our life in a magnitude similar to that of the Internet and cellular phones.

This monograph demonstrates that these emerging applications and directions require fundamental understanding on how to design and control wireless networks that lies far beyond what the currently existing theory can provide. It is shown that mathematics is the key technology to cope with central technical problems in the design of wireless networks since the complexity of the problem simply precludes the use of engineering common sense alone to identify good solutions.

The main objective of this book is to provide tools for better understanding the fundamental tradeoffs and interdependencies in wireless networks, with the goal of designing resource allocation strategies that exploit these interdependencies to achieve significant performance gains. The book consists of three largely independent parts: theory, applications and appendices. The latter contain foundational apects to make the book more understandable to readers who are not familiar with some basic concepts and results from linear algebra and convex analysis.

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Table of contents :
Front Matter….Pages –
Front Matter….Pages 1-1
Chapter 1: On the Perron Root of Irreducible Matrices….Pages 3-49
Chapter 2: On the Positive Solution to a Linear System with Nonnegative Coefficients….Pages 51-68
Front Matter….Pages 69-69
Chapter 3: Introduction….Pages 71-73
Chapter 4: Network Model….Pages 75-89
Chapter 5: Resource Allocation Problem in Communications Networks….Pages 91-128
Chapter 6: Power Control Algorithm….Pages 129-152
Front Matter….Pages 153-153
Appendix A: Some Concepts and Results from Matrix Analysis….Pages 155-170
Appendix B: Some Concepts and Results from Convex Analysis….Pages 171-183
Back Matter….Pages –