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Fractional Processes and Fractional-Order Signal Processing Techniques and Applications /

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 (l...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Sheng, Hu (Autor), Chen, YangQuan (Autor), Qiu, TianShuang (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Springer London : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Colección:Signals and Communication Technology,
Temas:
Acceso en línea:Texto Completo

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245 1 0 |a Fractional Processes and Fractional-Order Signal Processing  |h [electronic resource] :  |b Techniques and Applications /  |c by Hu Sheng, YangQuan Chen, TianShuang Qiu. 
250 |a 1st ed. 2012. 
264 1 |a London :  |b Springer London :  |b Imprint: Springer,  |c 2012. 
300 |a XXVI, 295 p. 162 illus., 146 illus. in color.  |b online resource. 
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490 1 |a Signals and Communication Technology,  |x 1860-4870 
505 0 |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. 
520 |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. 
650 0 |a Signal processing. 
650 0 |a Computer vision. 
650 0 |a Computer science-Mathematics. 
650 1 4 |a Signal, Speech and Image Processing . 
650 2 4 |a Computer Vision. 
650 2 4 |a Mathematical Applications in Computer Science. 
700 1 |a Chen, YangQuan.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Qiu, TianShuang.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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912 |a ZDB-2-ENG 
912 |a ZDB-2-SXE 
950 |a Engineering (SpringerNature-11647) 
950 |a Engineering (R0) (SpringerNature-43712)