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portada Sampling Theory, a Renaissance: Compressive Sensing and Other Developments
Type
Physical Book
Publisher
Author
Language
English
Pages
532
Format
Paperback
ISBN13
9783319792866
Categories

Sampling Theory, a Renaissance: Compressive Sensing and Other Developments

Pfander, Götz E. (Author) · Birkhauser · Paperback

Sampling Theory, a Renaissance: Compressive Sensing and Other Developments - Pfander, Götz E.

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Synopsis "Sampling Theory, a Renaissance: Compressive Sensing and Other Developments"

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.

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