國立高雄大學圖資館 |

Language: English

Back

Sampling theory, a renaissancecompre...

Pfander, Gotz E.

Sampling theory, a renaissancecompressive sensing and other developments /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Sampling theory, a renaissanceedited by Gotz E. Pfander.
Reminder of title:	compressive sensing and other developments /
other author:	Pfander, Gotz E.
Published:	Cham :Springer International Publishing :2015.
Description:	xiv, 532 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Sampling (Statistics)
Online resource:	http://dx.doi.org/10.1007/978-3-319-19749-4
ISBN:	9783319197494$q(electronic bk.)

Sampling theory, a renaissancecompressive sensing and other developments /
Sampling theory, a renaissancecompressive sensing and other developments /[electronic resource] :edited by Gotz E. Pfander. - Cham :Springer International Publishing :2015. - xiv, 532 p. :ill., digital ;24 cm. - Applied and numerical harmonic analysis,2296-5009. - Applied and numerical harmonic analysis..

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.

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.

ISBN: 9783319197494$q(electronic bk.)

Standard No.: 10.1007/978-3-319-19749-4doiSubjects--Topical Terms:

182291
Sampling (Statistics)

LC Class. No.: QA276.6

Dewey Class. No.: 519.52

Sampling theory, a renaissancecompressive sensing and other developments /
LDR:03104nmm a2200325 a 4500 001 477710
003 DE-He213
005 20160512143632.0
006 m d
007 cr nn 008maaau
008 160614s2015 gw s 0 eng d
020 $a 9783319197494$q(electronic bk.)
020 $a 9783319197487$q(paper)
024 7 $a 10.1007/978-3-319-19749-4 $2 doi
035 $a 978-3-319-19749-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA276.6
072 7 $a PBW $2 bicssc
072 7 $a MAT003000 $2 bisacsh
082 0 4 $a 519.52 $2 23
090 $a QA276.6 $b .S192 2015
245 0 0 $a Sampling theory, a renaissance $h [electronic resource] : $b compressive sensing and other developments / $c edited by Gotz E. Pfander.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2015.
300 $a xiv, 532 p. : $b ill., digital ; $c 24 cm.
490 1 $a Applied and numerical harmonic analysis, $x 2296-5009
505 0 $a 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.
520 $a 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.
650 0 $a Sampling (Statistics) $3 182291
650 0 $a Mathematical statistics. $3 181877
650 0 $a Compressed sensing (Telecommunication) $x Statistical methods. $3 732710
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Information and Communication, Circuits. $3 276027
650 2 4 $a Signal, Image and Speech Processing. $3 273768
650 2 4 $a Approximations and Expansions. $3 281039
650 2 4 $a Appl.Mathematics/Computational Methods of Engineering. $3 273758
650 2 4 $a Functions of a Complex Variable. $3 275780
700 1 $a Pfander, Gotz E. $3 732709
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Applied and numerical harmonic analysis. $3 558836
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-19749-4
950 $a Mathematics and Statistics (Springer-11649)