Resource Allocation in Wireless Networks

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Resource Allocation in Wireless Networks / SÅÂ°awomir Staanczak, Holger Boche, Takeo Kanade, Marcin Wiczanowski

資料種別:

電子ブック

出版情報:

SpringerLink Books - AutoHoldings
Springer Berlin Heidelberg, 2006

著者名:

ISBN:

9783540462484 [3540462481]
9783540462491 [354046249X]

書誌ID:

OB00503624

子書誌情報

フルテキスト

所蔵情報

書誌詳細

主題:

Information Technology - Computer Science (Hardware & Networks)

言語:

英語

目次情報:

List of Symbols

Theory / Part I：

On the Perron Root of Irreducible Matrices / 1：

Some Basic Definitions / 1.1：

Some Bounds on the Perron Root and Their Applications / 1.2：

Concavity of the Perron Root on Some Subsets of Irreducible Matrices / 1.2.1：

Kullback-Leibler Divergence Characterization / 1.2.2：

Some Extended Perron Root Characterizations / 1.2.3：

Collatz-Wielandt-Type Characterization of the Perron Root / 1.2.4：

Convexity of the Perron Root / 1.3：

Some Definitions / 1.3.1：

Sufficient Conditions / 1.3.2：

Convexity of the Feasibility Set / 1.3.3：

Necessary Conditions / 1.3.4：

Special Classes of Matrices / 1.4：

Symmetric Matrices / 1.4.1：

Symmetric Positive Semidefinite Matrices / 1.4.2：

The Perron Root Under the Linear Mapping / 1.5：

Some Bounds / 1.5.1：

Disproof of the Conjecture / 1.5.2：

Some Remarks on Arbitrary Nonnegative Matrices / 1.6：

Log-Convexity of the Spectral Radius / 1.6.1：

Characterization of the Spectral Radius / 1.6.2：

Collatz-Wielandt-Type Characterization of the Spectral Radius / 1.6.3：

Bibliograpical Notes / 1.7：

On the Positive Solution to a Linear System with Nonnegative Coefficients / 2：

Basic Concepts and Definitions / 2.1：

Feasibility Sets / 2.2：

Convexity Results / 2.3：

Log-Convexity of the Positive Solution / 2.3.1：

Strict Log-Convexity / 2.3.2：

Strict Convexity of the Feasibility Sets / 2.3.4：

The Linear Case / 2.4：

Applications and Algorithms / Part II：

Introduction / 3：

Network Model / 4：

Basic Definitions / 4.1：

Medium Access Control / 4.2：

Wireless Communication Channel / 4.3：

Signal-to-Interference Ratio / 4.3.1：

Power Constraints / 4.3.2：

Data Rate Model / 4.3.3：

Two Examples / 4.3.4：

Resource Allocation Problem in Communications Networks / 5：

End-to-End Rate Control in Wired Networks / 5.1：

Fairness Criteria / 5.1.1：

Algorithms / 5.1.2：

Problem Formulation for Wireless Networks / 5.2：

Joint Power Control and Link Scheduling / 5.2.1：

Feasible Rate Region / 5.2.2：

End-to-End Window-Based Rate Control for Wireless Networks / 5.2.3：

MAC Layer Fair Rate Control for Wireless Networks / 5.2.4：

Utility-Based Power Control / 5.2.5：

Interpretation in the QoS Domain / 5.3：

Remarks on Joint Power Control and Link Scheduling / 5.4：

Optimal Joint Power Control and Link Scheduling / 5.4.1：

High SIR Regime / 5.4.2：

Low SIR Regime / 5.4.3：

Wireless Links with Self-Interference / 5.4.4：

Remarks on the Efficiency-Fairness Trade Off / 5.5：

Efficiency of the Max-Min Fair Power Allocation / 5.5.1：

Axiom-Based Interference Model / 5.5.2：

Power Control Algorithm / 6：

Convex Statement of the Problem / 6.1：

Strong Convexity Conditions / 6.3：

Gradient Projection Algorithm / 6.4：

Global Convergence / 6.4.1：

Rate of Convergence / 6.4.2：

Diagonal Scaling / 6.4.3：

Projection on a Closed Convex Set / 6.4.4：

Distributed Implementation / 6.5：

Local and Global Parts of the Gradient Vector / 6.5.1：

Adjoint Network / 6.5.2：

Distributed Handshake Protocol / 6.5.3：

Noisy Measurements / 6.5.4：

Appendices / Part III：

Some Concepts and Results from Matrix Analysis / A：

Vectors and Vector Norms / A.1：

Matrices and Matrix Norms / A.2：

Square Matrices and Eigenvalues / A.3：

Spectral Radius and Neumann Series / A.3.1：

Orthogonal, Symmetric and Positive Semidefinite Matrices / A.3.2：

Perron-Frobenius Theory / A.4：

Perron-Frobenius Theorem for Irreducible Matrices / A.4.1：

Perron-Frobenius Theorem for Primitive Matrices / A.4.2：

Some Remarks on Reducible Matrices / A.4.3：

The Existence of a Positive Solution p to ([alpha]I - X)p = b / A.4.4：

Some Concepts and Results from Convex Analysis / B：

Sets and Functions / B.1：

Convex Sets and Functions / B.2：

Strong Convexity / B.2.1：

Log-Convex Functions / B.3：

Inverse Functions of Monotonic Log-Convex Functions / B.3.1：

Convergence of Gradient Projection Algorithms / B.4：

References

List of Symbols

Theory / Part I：

On the Perron Root of Irreducible Matrices / 1：

Some Basic Definitions / 1.1：

Some Bounds on the Perron Root and Their Applications / 1.2：

Concavity of the Perron Root on Some Subsets of Irreducible Matrices / 1.2.1：

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Resource Allocation in Wireless Networks / SÅÂ°awomir Staanczak, Holger Boche, Takeo Kanade, Marcin Wiczanowski

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Resource Allocation in Wireless Networks / SÅÂ°awomir Staanczak, Holger Boche, Takeo Kanade, Marcin Wiczanowski