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Catalogue Information
Field name	Details
Dewey Class	519
Title	Sampling Theory, a Renaissance ([EBook]) : Compressive Sensing and Other Developments / / edited by Götz E. Pfander.
Added Personal Name	Pfander, Götz E. editor.
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2015.
Publication	Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2015.
Physical Details	XIV, 532 p. 69 illus., 40 illus. in color. : online resource.
Series	Applied and numerical harmonic analysis 2296-5009
ISBN	9783319197494
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-319-19749-4
Links to Related Works	Subject References: Applied mathematics . Appl.Mathematics/Computational Methods of Engineering . Approximation theory . Approximations and Expansions . Engineering mathematics . Functions of a Complex Variable . Functions of complex variables . Information and communication, circuits . Information theory . Mathematics . Signal, Image and Speech Processing . Authors: Pfander, Götz E. . Corporate Authors: SpringerLink (Online service) . Series: Applied and numerical harmonic analysis . Classification: 519 .

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Sampling Theory, a Renaissance: Compressive Sensing and Other Developments /

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