| Description |
1 online resource |
| Contents |
Cover ; Half Title ; Title Page ; Copyright Page ; Table of Contents ; Preface ; 1: Mathematical Background ; 1.1 Mathematical prerequisites ; 1.1.1 Vector norm ; 1.1.2 Matrix norm ; 1.1.3 Inner product ; 1.1.4 Norm ball ; 1.1.5 Interior point |
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1.1.6 Complement, scaled sets, and sum of sets 1.1.7 Closure and boundary ; 1.1.8 Supremum and infimum ; 1.1.9 Function ; 1.1.10 Continuity ; 1.1.11 Derivative and gradient ; 1.1.12 Hessian ; 1.1.13 Taylor series ; 1.2 Linear algebra revisited ; 1.2.1 Vector subspace |
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1.2.2 Range space, null space, and orthogonal projection 1.2.3 Matrix determinant and inverse ; 1.2.4 Positive definiteness and semidefiniteness ; 1.2.5 Eigenvalue decomposition ; 1.2.6 Square root factorization of PSD matrices ; 1.2.7 Singular value decomposition |
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1.2.8 Least-squares approximation 1.3 Summary and discussion ; 2: Convex Sets ; 2.1 Affine and convex sets ; 2.1.1 Lines and line segments ; 2.1.2 Affine sets and affine hulls ; 2.1.3 Relative interior and relative boundary ; 2.1.4 Convex sets and convex hulls |
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2.1.5 Cones and conic hulls 2.2 Examples of convex sets ; 2.2.1 Hyperplanes and halfspaces ; 2.2.2 Euclidean balls and ellipsoids ; 2.2.3 Polyhedra ; 2.2.4 Simplexes ; 2.2.5 Norm cones ; 2.2.6 Positive semidefinite cones ; 2.3 Convexity preserving operations ; 2.3.1 Intersection |
| Summary |
"Convex Optimization for Signal Processing and Communications: From Fundamentals to Applications provides fundamental background knowledge of convex optimization, while striking a balance between mathematical theory and applications in signal processing and communications. In addition to comprehensive proofs and perspective interpretations for core convex optimization theory, this book also provides many insightful figures, remarks, illustrative examples, and guided journeys from theory to cutting-edge research explorations, for efficient and in-depth learning, especially for engineering students and professionals. With the powerful convex optimization theory and tools, this book provides you with a new degree of freedom and the capability of solving challenging real-world scientific and engineering problems."-- Provided by publisher |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force. WlAbNL |
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Print version record |
| Subject |
Wireless communication systems.
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Signal processing.
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Mathematical optimization.
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Convex functions.
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TECHNOLOGY & ENGINEERING -- Mechanical.
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Convex functions
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Mathematical optimization
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Signal processing
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Wireless communication systems
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| Form |
Electronic book
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| Author |
Li, Wei-Chiang, author
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Lin, Chia-Hsiang (Researcher of wireless communication systems), author.
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| ISBN |
9781498776462 |
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1498776469 |
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9781315366920 |
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1315366924 |
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9781315330778 |
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1315330776 |
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9781315349800 |
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1315349809 |
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