Wavelets Theory and Applications for Manufacturing
Wavelets: Theory and Applications for Manufacturing presents a systematic yet easily accessible description of the fundamentals of wavelet transform and its applications in manufacturing. Given the widespread utilization of machine tools in modern manufac
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Robert X. Gao
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Ruqiang Yan
Wavelets Theory and Applications for Manufacturing
Robert X. Gao Department of Mechanical Engineering University of Connecticut Storrs, CT 06269-3139, USA [email protected]
Ruqiang Yan School of Instrument Science and Engineering Southeast University Nanjing, Jiangsu China, People’s Republic [email protected]
ISBN 978-1-4419-1544-3 e-ISBN 978-1-4419-1545-0 DOI 10.1007/978-1-4419-1545-0 Springer New York Dordrecht Heidelberg London # Springer Science+Business Media, LLC 2011 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer ScienceþBusiness Media (www.springer.com)
Preface
Since the publication of Alfred Haar’s work on orthogonal function systems a hundred years ago, the world has witnessed a tremendous growth in the theory and practice of wavelet, even though a reported, systematic study of the subject field and its applications to engineering did not occur until the 1980s. Over the last 3 decades, a plethora of literature has been published, describing advancement in the wavelet theory and its successful applications in various fields of engineering: from image processing in biomedical engineering to signal processing in meteorology to bridge monitoring in civil engineering. The adaptive, multiresolution capability of the wavelet transform has also made it a powerful mathematical tool for the diagnostics of equipment operation conditions in manufacturing, such as tool breakage. Past research on wavelets has been translated into a large volume of publications and significantly impacted the state-of-the-technology. These papers, together with a series of classic books, have taught generations of engineers the theory and applications of wavelets. Nevertheless, there exists a gap in the literature that is particularly dedicated to graduate students and practicing engineers in manufacturing who are interested in learning about and applying the theory of wavelet transform to solving problems related to equipment and process monitoring, diagnostics, and prognostics in manufacturing. The book is intended to bridge such a gap by presenting a systematic yet easily accessible treatment of the mathematics of wavelet transform and illustrate, in concrete terms, how wavelet transform as a mathematical tool can be realized for applications in manufacturing. Contribut
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