Authors:
- Self-contained introduction to signal processing and wavelets assuming only a linear algebra background
- Hands-on introduction to important concepts using computational and interactive examples and exercises
- Strong rooting of the developed theory in terms of practical applications to sound and images
- Request lecturer material: sn.pub/lecturer-material
Part of the book series: Springer Undergraduate Texts in Mathematics and Technology (SUMAT)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
About this book
This book offers a user friendly, hands-on, and systematic introduction to applied and computational harmonic analysis: to Fourier analysis, signal processing and wavelets; and to their interplay and applications. The approach is novel, and the book can be used in undergraduate courses, for example, following a first course in linear algebra, but is also suitable for use in graduate level courses. The book will benefit anyone with a basic background in linear algebra. It defines fundamental concepts in signal processing and wavelet theory, assuming only a familiarity with elementary linear algebra. No background in signal processing is needed. Additionally, the book demonstrates in detail why linear algebra is often the best way to go. Those with only a signal processing background are also introduced to the world of linear algebra, although a full course is recommended.
The book comes in two versions: one based on MATLAB, and one on Python, demonstrating the feasibility and applications of both approaches. Most of the MATLAB code is available interactively. The applications mainly involve sound and images. The book also includes a rich set of exercises, many of which are of a computational nature.
Reviews
“This book is a very useful textbook for undergraduate students in applied mathematics and engineering disciplines, but it is also suitable for graduate level courses.” (Manfred Tasche, zbMATH 1420.65001, 2019)
Authors and Affiliations
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Department of Mathematics, University of Oslo, Oslo, Norway
Øyvind Ryan
About the author
Øyvind Ryan holds a position as an associate professor at the Department of Mathematics at the University of Oslo. Over several years he has been teaching and writing course material for courses in undergraduate mathematics and signal processing. His research interests are information theory, wavelets, and compressive sensing.
Bibliographic Information
Book Title: Linear Algebra, Signal Processing, and Wavelets - A Unified Approach
Book Subtitle: MATLAB Version
Authors: Øyvind Ryan
Series Title: Springer Undergraduate Texts in Mathematics and Technology
DOI: https://doi.org/10.1007/978-3-030-01812-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-01811-5Published: 13 March 2019
eBook ISBN: 978-3-030-01812-2Published: 05 March 2019
Series ISSN: 1867-5506
Series E-ISSN: 1867-5514
Edition Number: 1
Number of Pages: XXVI, 360
Number of Illustrations: 74 b/w illustrations, 29 illustrations in colour
Topics: Linear Algebra, Computational Science and Engineering, Mathematical and Computational Engineering, Signal, Image and Speech Processing, Fourier Analysis, Mathematical Physics