Sampling Theory, a Renaissance
Compressive Sensing and Other Developments
Editors: Pfander, Götz E. (Ed.)
Free Preview- Tutorial style articles on new high-impact topics in sampling and applications
- Offers experts in sampling theory (mathematicians and engineers) new insights into the wide area of sampling theory
- Includes a great breadth of topics ranging from the analysis of real world analog, to digital converters, to generalizations of sampling theory in abstract geometry
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- About this book
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Reconstructing or approximating objects from seemingly incomplete information is a frequent challenge in mathematics, science, and engineering. A multitude of tools designed to recover hidden information are based on Shannon’s classical sampling theorem, a central pillar of Sampling Theory. The growing need to efficiently obtain precise and tailored digital representations of complex objects and phenomena requires the maturation of available tools in Sampling Theory as well as the development of complementary, novel mathematical theories. Today, research themes such as Compressed Sensing and Frame Theory re-energize the broad area of Sampling Theory. This volume illustrates the renaissance that the area of Sampling Theory is currently experiencing. It touches upon trendsetting areas such as Compressed Sensing, Finite Frames, Parametric Partial Differential Equations, Quantization, Finite Rate of Innovation, System Theory, as well as sampling in Geometry and Algebraic Topology.
- Table of contents (14 chapters)
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Estimation in High Dimensions: A Geometric Perspective
Pages 3-66
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Convex Recovery of a Structured Signal from Independent Random Linear Measurements
Pages 67-101
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Low Complexity Regularization of Linear Inverse Problems
Pages 103-153
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Noise-Shaping Quantization Methods for Frame-Based and Compressive Sampling Systems
Pages 157-184
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Fourier Operators in Applied Harmonic Analysis
Pages 185-215
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Table of contents (14 chapters)
- Download Preface 1 PDF (56.6 KB)
- Download Sample pages 1 PDF (367.8 KB)
- Download Table of contents PDF (35 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Sampling Theory, a Renaissance
- Book Subtitle
- Compressive Sensing and Other Developments
- Editors
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- Götz E. Pfander
- Series Title
- Applied and Numerical Harmonic Analysis
- Copyright
- 2015
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-19749-4
- DOI
- 10.1007/978-3-319-19749-4
- Hardcover ISBN
- 978-3-319-19748-7
- Softcover ISBN
- 978-3-319-79286-6
- Series ISSN
- 2296-5009
- Edition Number
- 1
- Number of Pages
- XIV, 532
- Number of Illustrations
- 29 b/w illustrations, 40 illustrations in colour
- Topics
