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|a 9781447122333
|9 978-1-4471-2233-3
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|a 10.1007/978-1-4471-2233-3
|2 doi
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|a 621.382
|2 23
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|a Sheng, Hu.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Fractional Processes and Fractional-Order Signal Processing
|h [electronic resource] :
|b Techniques and Applications /
|c by Hu Sheng, YangQuan Chen, TianShuang Qiu.
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|a 1st ed. 2012.
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|a London :
|b Springer London :
|b Imprint: Springer,
|c 2012.
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|a XXVI, 295 p. 162 illus., 146 illus. in color.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
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|a online resource
|b cr
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|a text file
|b PDF
|2 rda
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|a Signals and Communication Technology,
|x 1860-4870
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|a Part I: Overview of Fractional Processes and Fractional-order Signal Processing -- Introduction -- Overview of Fractional Processes and Fractional-order Signal Processing -- Part II: Fractional Processes -- Constant-order Fractional Processes -- Multifractional Processes -- Part III: Fractional-order Signal Processing -- Constant-order Fractional Signal Processing -- Variable-order Fractional Signal Processing -- Distributed-order Fractional Signal Processing -- Part IV: Applications of Fractional-order Signal Processing Techniques -- FARIMA with Stable Innovations Model of Great Salt Lake Elevation -- Analysis of ECN Using Fractional Signal Processing Techniques -- Optimal Fractional-order Damping Strategies -- Heavy-tailed Distribution and Local Long Memory in Molecular Motion -- Multifractional Property Analysis of Human Sleep EEG Signals -- Conclusions -- Appendices: Mittag-Leffler Functions; Application of Numerical Inverse Laplace Transform Algorithms in Fractional-order Signal Processing; Some Useful Webpages; MATLAB® Codes of Impulse-Response Invariant Discretization of Fractional-order Filters.
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|a 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.
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|a Signal processing.
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|a Computer vision.
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|a Computer science-Mathematics.
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|a Signal, Speech and Image Processing .
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|a Computer Vision.
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|a Mathematical Applications in Computer Science.
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|a Chen, YangQuan.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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700 |
1 |
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|a Qiu, TianShuang.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9781447122326
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776 |
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|i Printed edition:
|z 9781447122340
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776 |
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|i Printed edition:
|z 9781447169246
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830 |
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|a Signals and Communication Technology,
|x 1860-4870
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856 |
4 |
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|u https://doi.uam.elogim.com/10.1007/978-1-4471-2233-3
|z Texto Completo
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|a ZDB-2-ENG
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912 |
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|a ZDB-2-SXE
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|a Engineering (SpringerNature-11647)
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|a Engineering (R0) (SpringerNature-43712)
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