Finite Frames

Theory and Applications

By: Gitta Kutyniok (Editor), Peter G. Casazza (Editor)

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Hardcover | 13 September 2012

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504 Pages

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23.5 x 15.5 x 2.54

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Hilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signal characteristics. More recently, finite frame theory has grown into an important research topic in its own right, with a myriad of applications to pure and applied mathematics, engineering, computer science, and other areas. The number of research publications, conferences, and workshops on this topic has increased dramatically over the past few years, but no survey paper or monograph has yet appeared on the subject.

Edited by two of the leading experts in the field, Finite Frames aims to fill this void in the literature by providing a comprehensive, systematic study of finite frame theory and applications. With carefully selected contributions written by highly experienced researchers, it covers topics including:

* Finite Frame Constructions;
* Optimal Erasure Resilient Frames;
* Quantization of Finite Frames;
* Finite Frames and Compressed Sensing;
* Group and Gabor Frames;
* Fusion Frames.

Despite the variety of its chapters' source and content, the book's notation and terminology are unified throughout and provide a definitive picture of the current state of frame theory.

With a broad range of applications and a clear, full presentation, this book is a highly valuable resource for graduate students and researchers across disciplines such as applied harmonic analysis, electrical engineering, quantum computing, medicine, and more. It is designed to be used as a supplemental textbook, self-study guide, or reference book.

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You Can Find This Book In

Non-Fiction Mathematics Applied Mathematics Engineering & Technology Electronics & Communications Engineering Electronics Engineering Computing & I.T.Computer Science Artificial Intelligence Computer Vision Other Technologies & Applied Sciences Applied Optics

Imaging Systems & Technology Calculus & Mathematical Analysis Differential Calculus & Equations Functional Analysis & Transforms

Introduction to Finite Frame Theory	p. 1
Constructing Finite Frames with a Given Spectrum	p. 55
Spanning and Independence Properties of Finite Frames	p. 109
Algebraic Geometry and Finite Frames	p. 141
Group Frames	p. 171
Gabor Frames in Finite Dimensions	p. 193
Frames as Codes	p. 241
Quantization and Finite Frames	p. 267
Finite Frames for Spares Signal Processing	p. 303
Finite Frames and Filter Banks	p. 337
The Kadison-Singer and Paulsen Problems in Finite Frame Theory	p. 381
Probabilistic Frames: An Overview	p. 415
Fusion Frames	p. 437
Index	p. 479
Table of Contents provided by Ingram. All Rights Reserved.

Finite Frames

Theory and Applications

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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