Fractional Processes and Fractional-Order Signal Processing, Techniques and Applications View Full Text


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Book Info

DATE

2012

GENRE

Monograph

AUTHORS

Hu Sheng , YangQuan Chen , TianShuang Qiu

PUBLISHER

Springer Nature

ABSTRACT

Fractional processes are widely found in science, technology and engineering systems. In Fractional Processes and Fractional-order Signal Processing, some complex random signals, characterized by the presence of a heavy-tailed distribution or non-negligible dependence between distant observations (local and long memory), are introduced and examined from the ‘fractional’ perspective using simulation, fractional-order modeling and filtering and realization of fractional-order systems. These fractional-order signal processing (FOSP) techniques are based on fractional calculus, the fractional Fourier transform and fractional lower-order moments. Fractional Processes and Fractional-order Signal Processing: • presents fractional processes of fixed, variable and distributed order studied as the output of fractional-order differential systems; • introduces FOSP techniques and the fractional signals and fractional systems point of view; • details real-world-application 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 re-examine their signals and signal-processing 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. More... »

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-1-4471-2233-3

DOI

http://dx.doi.org/10.1007/978-1-4471-2233-3

ISBN

978-1-4471-2232-6 | 978-1-4471-2233-3

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1031387782


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