| Description |
1 online resource (xviii, 625 pages) : illustrations |
| Series |
Applied and numerical harmonic analysis, 2296-5009 |
|
Applied and numerical harmonic analysis, 2296-5009
|
| Contents |
An Invitation to Compressive Sensing -- Sparse Solutions of Underdetermined Systems -- Basic Algorithms -- Basis Pursuit -- Coherence -- Restricted Isometry Property -- Basic Tools from Probability Theory -- Advanced Tools from Probability Theory -- Sparse Recovery with Random Matrices -- Gelfand Widths of ℓ₁-Balls -- Instance Optimality and Quotient Property -- Random Sampling in Bounded Orthonormal Systems -- Lossless Expanders in Compressive Sensing -- Recovery of Random Signals using Deterministic Matrices -- Algorithms for ℓ₁-Minimization |
| Summary |
At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. Based on the premise that data acquisition and compression can be performed simultaneously, compressive sensing finds applications in imaging, signal processing, and many other domains. In the areas of applied mathematics, electrical engineering, and theoretical computer science, an explosion of research activity has already followed the theoretical results that highlighted the efficiency of the basic principles. The elegant ideas behind these principles are also of independent interest to pure mathematicians. A Mathematical Introduction to Compressive Sensing gives a detailed account of the core theory upon which the field is built |
| Bibliography |
Includes bibliographical references (pages 593-615) and index |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed August 20, 2013) |
| Subject |
Signal processing -- Digital techniques -- Mathematics.
|
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Compressed sensing (Telecommunication)
|
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Mathematics.
|
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Mathematics
|
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Matemáticas
|
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Procesado de señales-Técnicas digitales-Matemáticas
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Mathematics
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Compressed sensing (Telecommunication)
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Signal processing -- Digital techniques -- Mathematics
|
| Form |
Electronic book
|
| Author |
Rauhut, Holger, author
|
| ISBN |
9780817649487 |
|
0817649484 |
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