Linear Algebra, Signal Processing, and Wav...

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Sprache: Englisch

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Beschreibung

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 feasibilityand applications of both approaches. Most of the 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.

Über den Autor

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.

Zusammenfassung

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: [...]

Inhaltsverzeichnis

1. Sound and Fourier series.- 2. Digital Sound and Discrete Fourier Analysis.- 3. Discrete Time Filters.- 4. Motivation for Wavelets and Some Simple Examples.- 5. The Filter Representation of Wavelets.- 6. Constructing Interesting Wavelets.- 7. The Polyphase Representation of Filter Bank Transforms.- 8. Digital Images.- 9. Using Tensor Products to Apply Wavelets to Images.- A Basic Linear Algebra.

Details

Erscheinungsjahr:	2019
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Springer Undergraduate Texts in Mathematics and Technology
Inhalt:	xxvii 364 S. 74 s/w Illustr. 29 farbige Illustr. 364 p. 103 illus. 29 illus. in color. With online files/update.
ISBN-13:	9783030029395
ISBN-10:	3030029395
Sprache:	Englisch
Herstellernummer:	978-3-030-02939-5
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Ryan, Øyvind
Auflage:	1st ed. 2019
Hersteller:	Springer International Publishing Springer Undergraduate Texts in Mathematics and Technology
Maße:	260 x 183 x 27 mm
Von/Mit:	Øyvind Ryan
Erscheinungsdatum:	08.03.2019
Gewicht:	0,932 kg

Artikel-ID: 114540544