# An Introduction to Finite Tight Frames

Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

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Textbook

Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

This textbook is an introduction to the theory and applications of finite tight frames, an area that has developed rapidly in the last decade. Stimulating much of this growth are the applications of finite frames to diverse fields such as signal processing, quantum information theory, multivariate orthogonal polynomials, and remote sensing.

Key features and topics:

* First book entirely devoted to *finite* frames

* Extensive exercises and MATLAB examples for classroom use

* Important examples, such as harmonic and Heisenberg frames, are presented in preliminary chapters, encouraging readers to explore and develop an intuitive feeling for tight frames

* Later chapters delve into general theory details and recent research results

* Many illustrations showing the special aspects of the geometry of finite frames

* Provides an overview of the field of finite tight frames

* Discusses future research directions in the field

Featuring exercises and MATLAB examples in each chapter, the book is well suited as a textbook for a graduate course or seminar involving finite frames. The self-contained, user-friendly presentation also makes the work useful as a self-study resource or reference for graduate students, instructors, researchers, and practitioners in pure and applied mathematics, engineering, mathematical physics, and signal processing.

Heisenberg frames MATLAB finite tight frames harmonic frames multivariate orthogonal polynomials quantum information theory remote sensing signal processing tight frames

- DOI https://doi.org/10.1007/978-0-8176-4815-2
- Copyright Information Springer Science+Business Media, LLC 2018
- Publisher Name Birkhäuser, New York, NY
- eBook Packages Mathematics and Statistics
- Print ISBN 978-0-8176-4814-5
- Online ISBN 978-0-8176-4815-2
- Series Print ISSN 2296-5009
- Series Online ISSN 2296-5017
- Buy this book on publisher's site

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