Signal Analysis and Prediction
Methods of signal analysis represent a broad research topic with applications in many disciplines, including engineering, technology, biomedicine, seismography, eco nometrics, and many others based upon the processing of observed variables. Even though t
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Editorial Advisory Board Akram Aldroubi Vanderbilt University
Douglas Cochran Arizona State University
Ingrid Daubechies Princeton University
Hans G. Feichtinger University of Vienna
Christopher Heil Georgia Institute of Technology
Murat Kunt Swiss Federal Institute of Technology, Lausanne
James McClellan Georgia Institute of Technology
Wim Sweldens Lucent Technologies Bell Laboratories
Michael Unser Swiss Federal Institute of Technology, Lausanne
Martin Vetterli Swiss Federal Institute of Technology, Lausanne
Victor Wickerhauser
Washington University, St. Louis
Signal Analysis and Prediction A. Procházka J. Uhlíř P.J.W. Rayner N.G. Kingsbury Editors
Springer Science+Business Media, LLC
Ales Prochazka Institute of Chemical Technology Prague, Czech Republic
Jan Uhlir
Czech Technical University Prague, Czech Republic
P.W.J. Rayner N.G. Kingsbury University of Cambridge England, United Kingdom
Library of Congress Cataloging-in-Publication Data Signal analysis and prediction I [edited by] Prochazka ... [et al.] p. em. -- (Applied and numerical harmonic analysis) Includes bibliographical references and index. ISBN 978-1-4612-7273-1 ISBN 978-1-4612-1768-8 (eBook) DOI 10.1007/978-1-4612-1768-8 1. Signal processing--Statistical methods. 2. Prediction theory. I. Prochazka, Ales, 1948- . II. Series. TK5102.9.S533 1998 98-4740 621.382'23--dc21 CIP
Printed on acid-free paper © 1998 Springer Science+ Business Media New York
Birkhiiuser
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Originally published by Birhiiuser Boston in 1998 Softcover reprint of the hardcover 1st edition 1998
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Contents LIST OF CONTRIBUTORS PREFACE
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SIGNAL ANALYSIS
1 Time-Frequency and Time-Scale Signal Analysis by Harmonic Wavelets D.E. Newland 1.1 Introduction . . . . . . . . . . . 1.2 Short-Time Fourier Transforms 1.3 Wigner-Ville Method . . . . . . 1.4 Harmonic Wavelet Calculations 1.5 Coefficients for an Orthogonal Set 1.6 Relation between Orthogonal and Non-Orthogonal Coefficients 1. 7 Computational Algorithm . . 1.8 STFT and HWT Comparison 1.9 Choice of Wavelet . . . . . . 1.10 Example of Wavelet Selection 1.11 Interpretation of
