Fractional Processes and FractionalOrder Signal Processing
Techniques and Applications
Authors: Sheng, Hu, Chen, YangQuan, Qiu, TianShuang
Free Preview Clear introduction to the need for and existing tools of inquiry into the world of fractionalorder signal processing
 Emphasizes a computational approach with MATLAB® codes provided
 Practical realworld applications in diverse fields are presented as examples of the usefulness of fractionalorder signalprocessing techniques
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 About this book

Fractional processes are widely found in science, technology and engineering systems. In Fractional Processes and Fractionalorder Signal Processing, some complex random signals, characterized by the presence of a heavytailed distribution or nonnegligible dependence between distant observations (local and long memory), are introduced and examined from the ‘fractional’ perspective using simulation, fractionalorder modeling and filtering and realization of fractionalorder systems. These fractionalorder signal processing (FOSP) techniques are based on fractional calculus, the fractional Fourier transform and fractional lowerorder moments. Fractional Processes and Fractionalorder Signal Processing: presents fractional processes of fixed, variable and distributed order studied as the output of fractionalorder differential systems; introduces FOSP techniques and the fractional signals and fractional systems point of view; details realworldapplication examples of FOSP techniques to demonstrate their utility; and provides important background material on Mittag–Leffler functions, the use of numerical inverse Laplace transform algorithms and supporting MATLAB® codes together with a helpful survey of relevant webpages. Readers will be able to use the techniques presented to reexamine their signals and signalprocessing methods. This text offers an extended toolbox for complex signals from diverse fields in science and engineering. It will give academic researchers and practitioners a novel insight into the complex random signals characterized by fractional properties, and some powerful tools to analyze those signals.
 About the authors

Doctor YangQuan Chen has authored over 200 academic papers plus numerous technical reports. He coauthored two textbooks: "System Simulation Techniques with MATLAB®/Simulink" (with Dingyu Xue . Tsinghua University Press, April 2002, ISBN 7302053413/TP3137, in Chinese) and "Solving Advanced Applied Mathematical Problems Using Matlab" (with Dingyu Xue. Tsinghua University Press. August 2004. 419 pages in Chinese, ISBN 7302093113/O.392); and six research monographs: "Plastic Belt for Projectiles" (with Y. Shi. Shaanxi Science and Technology Press, Jan. 1995, ISBN 7536922779/TJ.1, in Chinese), "Iterative Learning Control " (with C. Wen . Lecture Notes in Control and Information Sciences, SpringerVerlag, Nov. 1999, ISBN: 9781852331900), “Iterative Learning Control” (with HyoSung Ahn and Kevin L. Moore. Springer, July 2007, ISBN: 9781846288463), “Optimal Observation for Cyberphysical Systems”(with Zhen Song, Chellury Sastry and Nazif Tas. Springer, July 2009, ISBN: 9781848826557), “Fractionalorder Systems and Controls” (with Concepción A. Monje, Blas M. Vinagre, Dingyu Xue and Vicente Feliu, ISBN: 9781849963343), and “Optimal Mobile Sensing and Actuation Strategies in Cyberphysical Systems” (with Christophe Tricaud). His current research interests include autonomous navigation and intelligent control of a team of unmanned ground vehicles, machine vision for control and automation, distributed control systems (MASnet: mobile actuatorsensor networks), fractionalorder control, interval computation, and iterative/repetitive/adaptive learning control. Currently, he serves as an Associate Editor for IEEE Control Systems Society, Conference Editorial Board (CSSCEB ). He was also an Associate Editor of ISA Review Board for AACC 's American Control Conference ( ACC2005 ). He has been the CoOrganizer and Instructor of the Tutorial Workshops on “Fractionalorder Calculus in Control and Robotics” at IEEE 2002 Conference on Decision and Control (CDC’02), and “Applied Fractional Calculus in Controls and Signal Processing” at CDC’10 and a founding member of the ASME subcommittee on “Fractional Dynamics”.
 Reviews

From the reviews:
“The book presents the theory and applications of an interesting domain in the area of signal science and technology: fractional processes and fractional order signal processing. … The volume gives answers to several important questions related to fractional systems … . A collection of very useful MATLAB codes is gives together with a useful list of Web addresses. Finally, we think that the present volume will soon become a reference book in the area of fractional signal processing and systems.” (Dumitru Stanomir, Zentralblatt MATH, Vol. 1245, 2012)
 Table of contents (14 chapters)


Introduction
Pages 329

An Overview of Fractional Processes and FractionalOrder Signal Processing Techniques
Pages 3146

ConstantOrder Fractional Processes
Pages 4976

Multifractional Processes
Pages 7792

ConstantOrder Fractional Signal Processing
Pages 95148

Table of contents (14 chapters)
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Bibliographic Information
 Bibliographic Information

 Book Title
 Fractional Processes and FractionalOrder Signal Processing
 Book Subtitle
 Techniques and Applications
 Authors

 Hu Sheng
 YangQuan Chen
 TianShuang Qiu
 Series Title
 Signals and Communication Technology
 Copyright
 2012
 Publisher
 SpringerVerlag London
 Copyright Holder
 SpringerVerlag London Limited
 eBook ISBN
 9781447122333
 DOI
 10.1007/9781447122333
 Hardcover ISBN
 9781447122326
 Softcover ISBN
 9781447169246
 Series ISSN
 18604862
 Edition Number
 1
 Number of Pages
 XXVI, 295
 Topics