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Applied and Numerical Harmonic Analysis

Sampling Theory, a Renaissance

Compressive Sensing and Other Developments

Editors: Pfander, Götz E. (Ed.)

  • 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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eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-19749-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-19748-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (14 chapters)

  • Estimation in High Dimensions: A Geometric Perspective

    Vershynin, Roman

    Pages 3-66

  • Convex Recovery of a Structured Signal from Independent Random Linear Measurements

    Tropp, Joel A.

    Pages 67-101

  • Low Complexity Regularization of Linear Inverse Problems

    Vaiter, Samuel (et al.)

    Pages 103-153

  • Noise-Shaping Quantization Methods for Frame-Based and Compressive Sampling Systems

    Chou, Evan (et al.)

    Pages 157-184

  • Fourier Operators in Applied Harmonic Analysis

    Benedetto, John J. (et al.)

    Pages 185-215

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-19749-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-19748-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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
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
Series ISSN
2296-5009
Edition Number
1
Number of Pages
XIV, 532
Number of Illustrations and Tables
29 b/w illustrations, 40 illustrations in colour
Topics