Utility Maximization in Nonconvex Wireless Systems

1. Front Matter

   Pages i-vii

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2. Introduction

   • Johannes Brehmer

   Pages 1-5

3. General Problem Setup

   • Johannes Brehmer

   Pages 7-33

4. Solution Methods

   • Johannes Brehmer

   Pages 35-98

5. Physical Layer Models

   • Johannes Brehmer

   Pages 99-121

6. Utility Models

   • Johannes Brehmer

   Pages 123-127

7. Case Studies

   • Johannes Brehmer

   Pages 129-153

8. Back Matter

   Pages 177-182

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This monograph develops a framework for modeling and solving utility maximization problems in nonconvex wireless systems. The first part develops a model for utility optimization in wireless systems. The model is general enough to encompass a wide array of system configurations and performance objectives. Based on the general model, a set of methods for solving utility maximization problems is developed in the second part of the book. The development is based on a careful examination of the properties that are required for the application of each method. This part focuses on problems whose initial formulation does not allow for a solution by standard methods and discusses alternative approaches. The last part presents two case studies to demonstrate the application of the proposed framework. In both cases, utility maximization in multi-antenna broadcast channels is investigated.

• Dirty paper coding
• Lagrange duality
• Monotonic optimization
• Multi-antenna techniques
• Multi-user techniques
• Pareto Manifold
• Resource allocation
• information and communication, circuits

• , Methoden der Signalverarbeitung, Technische Universität München, Munich, Germany

  Johannes Brehmer

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