Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)
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Table of contents (14 chapters)
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Front Matter
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Random Measurements of High Dimensional Data
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Front Matter
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Bandlimitation and Generalizations
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Front Matter
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Sampling and Parametric Partial Differential Equations
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Front Matter
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Keywords
About this book
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.
Editors and Affiliations
Bibliographic Information
Book Title: Sampling Theory, a Renaissance
Book Subtitle: Compressive Sensing and Other Developments
Editors: Götz E. Pfander
Series Title: Applied and Numerical Harmonic Analysis
DOI: https://doi.org/10.1007/978-3-319-19749-4
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-19748-7Published: 18 December 2015
Softcover ISBN: 978-3-319-79286-6Published: 21 March 2019
eBook ISBN: 978-3-319-19749-4Published: 08 December 2015
Series ISSN: 2296-5009
Series E-ISSN: 2296-5017
Edition Number: 1
Number of Pages: XIV, 532
Number of Illustrations: 29 b/w illustrations, 40 illustrations in colour
Topics: Information and Communication, Circuits, Signal, Image and Speech Processing, Approximations and Expansions, Mathematical and Computational Engineering, Functions of a Complex Variable