Linear Algebra, Signal Processing, and Wavelets - A Unified Approach

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 b

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Øyvind Ryan

Linear Algebra, Signal Processing, and Wavelets A Unified Approach MATLAB Version

Springer Undergraduate Texts in Mathematics and Technology Series Editors: Helge Holden, Norwegian University of Science and Technology, Trondheim, Norway Keri A. Kornelson, University of Oklahoma, Norman, OK, USA

Editorial Board: Lisa Goldberg, University of California, Berkeley, CA, USA Armin Iske, University of Hamburg, Hamburg, Germany Palle E.T. Jorgensen, The University of Iowa, Iowa City, IA, USA

Springer Undergraduate Texts in Mathematics and Technology (SUMAT) publishes textbooks aimed primarily at the undergraduate. Each text is designed principally for students who are considering careers either in the mathematical sciences or in technology-based areas such as engineering, finance, information technology and computer science, bioscience and medicine, optimization or industry. Texts aim to be accessible introductions to a wide range of core mathematical disciplines and their practical, real-world applications; and are fashioned both for course use and for independent study.

More information about this series at http://www.springer.com/series/7438

Øyvind Ryan

Linear Algebra, Signal Processing, and Wavelets A Unified Approach MATLAB Version

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Øyvind Ryan Department of Mathematics University of Oslo Oslo, Norway

The author has received funding from the Norwegian Non-Fiction Writers and Translators Association. Additional material to this book can be downloaded from http://extras.springer.com. ISSN 1867-5506 ISSN 1867-5514 (electronic) Springer Undergraduate Texts in Mathematics and Technology ISBN 978-3-030-01811-5 ISBN 978-3-030-01812-2 (eBook) https://doi.org/10.1007/978-3-030-01812-2 Library of Congress Control Number: 2018964077 Mathematics Subject Classification (2010): 15-01, 65-01, 15A99, 65T50, 65T60 © Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims i