Vorliegende Sprache |
eng |
Hinweise auf parallele Ausgaben |
370558170 Buchausg. u.d.T.: ‡Brehmer, Johannes: Utility maximization in nonconvex wireless systems |
ISBN |
978-3-642-17437-7 |
Name |
Brehmer, Johannes |
T I T E L |
Utility Maximization in Nonconvex Wireless Systems |
Verlagsort |
Berlin, Heidelberg |
Verlag |
Springer Berlin Heidelberg |
Erscheinungsjahr |
2012 |
2012 |
Umfang |
Online-Ressource (VII, 182p. 39 illus, digital) |
Reihe |
Foundations in Signal Processing, Communications and Networking ; 5 |
Notiz / Fußnoten |
Description based upon print version of record |
Weiterer Inhalt |
Utility Maximization in Nonconvex Wireless Systems; Contents; Chapter1 Introduction; Chapter2 General Problem Setup; 2.1 Parameter Optimization Problems; 2.2 Utility Maximization Problems; 2.3 Rate Region and Rate Space Problem; 2.3.1 Proper Rate Regions; 2.3.2 Intersection Problems; 2.3.3 The Pareto Manifold; 2.3.4 Outer-Approximation of a Proper Rate Region; 2.3.5 Convex Rate Regions; Chapter3 Solution Methods; 3.1 A Simple Utility Maximization Problem; 3.2 Rate Space Formulation; 3.3 Lagrange Duality; 3.3.1 Generic Approach; 3.3.2 Solving the Dual Problem. 3.3.3 Verifying Slater's Condition3.3.4 Special Case: Affine u and h; 3.3.5 Lagrange Duality and Nonconvexities; 3.3.6 Related Work; 3.4 Monotonic Optimization; 3.4.1 Polyblock Algorithm; 3.4.2 Projection Rules; 3.4.2.1 Projection Along Ray Through Origin; 3.4.2.2 Projection Along Arbitrary Direction; 3.4.3 Extended Polyblock Algorithm; 3.4.4 Solving the Intersection Problem; 3.4.5 Complexity of the Polyblock Algorithm; 3.4.6 Related Work; 3.5 Local Methods on the Pareto Manifold; 3.5.1 Optimality Conditions; 3.5.2 Computing a KKT Point on the Pareto Manifold. 3.5.3 A Generic Global Parameterization3.5.4 A Varying Parameterization Approach; 3.5.5 Boundary Points; 3.5.5.1 Ensuring Existence of a Stationary Point; 3.5.5.2 An Indicator for Deactivating Links; 3.5.5.3 Computing a Stationary Point in the Submanifolds; 3.5.6 Related Work; Chapter4 Physical Layer Models; 4.1 MISO Broadcast Channel with Linear Precoding; 4.1.1 PHY Layer Parameterization; 4.1.2 Rate Region; 4.1.3 Intersection Problem; 4.1.4 An Alternative Parameterization; 4.1.5 Global Parameterization of the Pareto Set; 4.2 MIMO Broadcast Channel with Dirty Paper Coding. 4.2.1 PHY Layer Parameterization4.2.2 Rate Region; 4.2.3 Weighted Sum Rate Maximization; 4.2.4 Global Parameterization of the Pareto Boundary; Chapter5 Utility Models; 5.1 Concave Utility Functions; 5.1.1 Sum-Throughput and Max-Min Fairness; 5.1.2 Logarithmic Utility Functions; 5.1.3 Generalized Max-Min; 5.2 Nonconcave Utility Functions; Chapter6 Case Studies; 6.1 Utility Maximization in the MISO Broadcast Channel with Linear Precoding; 6.1.1 Parameter Space Formulation; 6.1.2 Globally Optimal Solutions; 6.1.3 Local Solutions; 6.1.4 Numerical Results. 6.2 Nonconcave Utility Maximization in the MIMO Broadcast Channel6.2.1 Parameter Space Problem; 6.2.2 Globally Optimal Solutions; 6.2.3 Local Solutions; 6.2.4 Numerical Results; Appendix A; A.1 Mathematical Preliminaries; A.1.1 Sets; A.1.2 Spaces; A.1.3 Functions; A.1.4 Order Relations, Monotonicity, and Pareto Optimality; A.2 Elementary Topology; A.3 Pareto Sets; A.4 Comprehensive Sets; A.5 Convex Analysis; A.6 The Set of Extended Real Numbers; A.7 Optimality Conditions; A.8 Differentiable Manifolds; A.9 Yates' Framework for Power Control; References; Index |
Titelhinweis |
Buchausg. u.d.T.: ‡Brehmer, Johannes: Utility maximization in nonconvex wireless systems |
ISBN |
ISBN 978-3-642-17438-4 |
Klassifikation |
TJK |
TEC041000 |
621.382 |
621.3841 |
621.3845 |
TK1-9971 |
Kurzbeschreibung |
Johannes Brehmer |
2. Kurzbeschreibung |
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. |
1. Schlagwortkette |
Funknetz |
MIMO |
Mehrbenutzer-Informationstheorie |
Übertragungskanal |
Broadcastingverfahren |
Optimierungsproblem |
Physikalische Schicht |
Leistungsbewertung |
1. Schlagwortkette ANZEIGE DER KETTE |
Funknetz -- MIMO -- Mehrbenutzer-Informationstheorie -- Übertragungskanal -- Broadcastingverfahren -- Optimierungsproblem -- Physikalische Schicht -- Leistungsbewertung |
2. Schlagwortkette |
Funknetz |
MIMO |
Mehrbenutzer-Informationstheorie |
Übertragungskanal |
Broadcastingverfahren |
Optimierungsproblem |
Physikalische Schicht |
Leistungsbewertung |
ANZEIGE DER KETTE |
Funknetz -- MIMO -- Mehrbenutzer-Informationstheorie -- Übertragungskanal -- Broadcastingverfahren -- Optimierungsproblem -- Physikalische Schicht -- Leistungsbewertung |
SWB-Titel-Idn |
363413723 |
Signatur |
Springer E-Book |
Bemerkungen |
Elektronischer Volltext - Campuslizenz |
Elektronische Adresse |
$uhttp://dx.doi.org/10.1007/978-3-642-17438-4 |
Internetseite / Link |
Volltext |
Siehe auch |
Inhaltsverzeichnis |
Siehe auch |
Inhaltstext |
Siehe auch |
Volltext |