Fractional Order Signal Processing Introductory Concepts and Applica
The book tries to briefly introduce the diverse literatures in the field of fractional order signal processing which is becoming an emerging topic among an interdisciplinary community of researchers. This book is aimed at postgraduate and beginning level
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Saptarshi Das Indranil Pan •
Fractional Order Signal Processing Introductory Concepts and Applications
123
Saptarshi Das Department of Power Engineering School of Nuclear Studies and Applications Jadavpur University Salt Lake Campus, LB-8, Sector 3 Kolkata, West Bengal 700098 India e-mail: [email protected]; [email protected]
ISSN 2191-530X ISBN 978-3-642-23116-2 DOI 10.1007/978-3-642-23117-9
Indranil Pan Department of Power Engineering Jadavpur University Salt Lake Campus, LB-8, Sector 3 Kolkata, West Bengal 700098 India e-mail: [email protected]; [email protected]
e-ISSN 2191-5318 e-ISBN 978-3-642-23117-9
Springer Heidelberg Dordrecht London New York Ó The Author(s) 2012 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, 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. Cover design: eStudio Calamar, Berlin/Figueres Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
This book is dedicated to our beloved Gurudev and Maa Tara
brahmarpanam brahma havir brahmagnau brahmana hutam brahmaiva tena gantavyam brahma-karma-samadhina —Jnana Yoga (Ch. 4), Verse 24, Srimad Bhagavad Gita
Preface
Fractional Order Calculus has existed for over 300 years as an abstract mathematical concept. A renewed interest among the research community has come in the last few decades as fractional calculus has found applications in numerous science and engineering disciplines. Signal processing and control systems are two broad disciplines where fractional calculus has percolated to a substantial extent. Though there are a few books on fractional order calculus and fractional control systems, there are none on Fractional Order Signal Processing (FOSP). The idea of writing this book is to serve as a starting point for researchers interested in FOSP techniques. Conventional Digital Signal Processing (DSP) deals with rational pole-zero models of FIR/IIR structures and looks at stability, causality, etc. of these models. Many physical signals and other phenomena have been shown to possess inherently fractional order dynamics and hence fractional calculus is naturally able to model these processes with greater accuracy. Hence we believe that fractional order signal an
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