Sampling Theory, a Renaissance

by Götz E. Pfander (Editor)
Tutorial style articles on new high-impact topics in sampling and applications
Offers experts in sampling theory (mathematicians and engineers) new insights into the wide area of sampling theory
Includes a great breadth of topics ranging from the analysis of real world analog, to digital converters, to generalizations of sampling theory in abstract geometry

From the Back Cover
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.

Number of Illustrations and Tables
29 illus., 40 in colour
Topics
Information and Communication, Circuits
Signal, Image and Speech Processing
Approximations and Expansions
Appl. Mathematics / Computational Methods of Engineering
Functions of a Complex Variable

More info and Hardcover at Springer

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