Variable-Order Fractional Signal Processing

Part of the Signals and Communication Technology book series (SCT)


Chapter 6 introduces variable-order fractional signal processing techniques. The simulation of multifractional processes was realized by replacing the constant-order fractional integrator with a variable-order integrator. So, the generated multifractional processes exhibit the local memory property. Similarly, variable-order fractional system models were built by replacing the constant-order long memory parameter d with a variable-order local memory parameter d t . The variable-order fractional system models can characterize the local memory of the fractional processes. A physical experimental study of the temperature-dependent variable-order fractional integrator and differentiator was introduced at the end of this chapter. Some potential applications of the variable-order fractional integrator and differentiator are briefly discussed.


Hurst Exponent Memory Parameter Multifractional Process FIGARCH Model FARIMA Model 
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© Springer-Verlag London Limited 2012

Authors and Affiliations

  1. 1.School of Electronic and Information EngineeringDalian Jiaotong UniversityDalianPeople’s Republic of China
  2. 2.Department of Electrical and Computer Engineering, CSOISUtah State UniversityLoganUSA
  3. 3.School of Electronic and Information EngineeringDalian University of TechnologyDalianPeople’s Republic of China

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