EAN: 9781447122326

FRACTIONAL PROCESSES AND FRACTIONAL-ORDER SIGNA...

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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