TY - BOOK ID - 56708806 TI - Fractional Processes and Fractional-Order Signal Processing : Techniques and Applications AU - Sheng, Hu AU - Chen, YangQuan AU - Qiu, TianShuang AU - SpringerLink (Online service) PY - 2012 SN - 9781447122333 PB - London Springer London DB - UniCat KW - Information systems KW - Computer. Automation KW - beeldverwerking KW - ICT (informatie- en communicatietechnieken) KW - signal processing KW - informatiesystemen KW - signaalverwerking UR - https://www.unicat.be/uniCat?func=search&query=sysid:56708806 AB - 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. ER -