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Sampling theory, a renaissance : compressive sensing and other developments

Author: Götz E Pfander
Publisher: Cham : Birkhäuser, [2015]. ©2016
Series: Applied and numerical harmonic analysis.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: (OCoLC)908374714
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Götz E Pfander
ISBN: 9783319197494 3319197495
OCLC Number: 932016701
Notes: Includes index.
Description: 1 online resource (xiv, 532 pages) : illustrations (some color).
Contents: Part I: Sparsity Models --
Estimation in High Dimensions: A Geometric Perspective --
Convex Recovery of a Structured Signal from Independent Random Linear Measurements --
Low Complexity Regularization of Linear Inverse Problems --
Part II: Frames with Benefits --
Noise-shaping Quantization Methods for Frame-based and Compressive Sampling Systems --
Fourier Operations in Applied Harmonic Analysis.- The Fundamentals of Spectral Tetris Frame Constructions --
Part III: Bandlimitation Recast --
System Approximation and Generalized Measurements in Modern Sampling Theory --
Entire Functions in Generalized Bernstein Spaces and Their Growth Behavior --
Sampling and Geometry --
A Sheaf-theoretic Perspective on Sampling --
Part IV: Solutions of Parametric PDEs --
How to Best Sample a Solution Manifold? --
On the Stability of Polynomial Interpolation using Hierarchical Sampling --
Part V: Implementation --
OperA: Operator-based Annihilation for Finite-Rate-of-Innovation Signal Sampling --
Digital Adaptive Calibration of Data Converters using Independent Component Analysis.
Series Title: Applied and numerical harmonic analysis.
Responsibility: Götz E. Pfander, editor.

Abstract:

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  Read more...

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