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＜電子ブック＞
Sampling Theory, a Renaissance : Compressive Sensing and Other Developments / edited by Götz E. Pfander
(Applied and Numerical Harmonic Analysis. ISSN:22965017)

版	1st ed. 2015.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2015
本文言語	英語
大きさ	XIV, 532 p. 69 illus., 40 illus. in color : online resource
著者標目	Pfander, Götz E editor SpringerLink (Online service)
件　名	LCSH:Computer science -- Mathematics  全ての件名で検索 LCSH:Signal processing LCSH:Approximation theory LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 LCSH:Functions of complex variables FREE:Mathematical Applications in Computer Science FREE:Signal, Speech and Image Processing FREE:Approximations and Expansions FREE:Mathematical and Computational Engineering Applications FREE:Functions of a Complex Variable
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-19749-4

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