Sampling theory, a renaissance : compressive sensing and other developments /

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Bibliographic Details
Imprint:Cham : Birkhäuser, [2015].
Description:1 online resource (xiv, 532 pages) : illustrations (some color).
Series:Applied and numerical harmonic analysis, 2296-5009
Applied and numerical harmonic analysis.
Subject:Sampling (Statistics)
Mathematical statistics.
Compressed sensing (Telecommunication) -- Statistical methods.
MATHEMATICS / Probability & Statistics / General
Mathematical statistics.
Sampling (Statistics)
Electronic books.
Electronic books.
Format: E-Resource Book
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Hidden Bibliographic Details
Other authors / contributors:Pfander, Götz E., editor.
Digital file characteristics:text file PDF
Notes:Includes index.
Online resource; title from PDF title page (SpringerLink, viewed December 21, 2015).
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 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.
Other form:Original 9783319197487 3319197487
Standard no.:10.1007/978-3-319-19749-4