Distributed-Order Fractional Signal Processing

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


Chapter 7 studies the impulse response functions of the distributed-order integrator/differentiator, fractional-order distributed low-pass filter, and the fractional-order distributed parameter low-pass filter from the complex path integral expressed in the definite integral form. Based on these results, we obtained some asymptotic properties, and we can accurately compute the integrals on the whole time domain. Moreover, for practical applications, we presented a technique known as “impulse-response-invariant discretization” to perform the discretization of the above three distributed-order filters. Lastly, it was shown that the distributed-order fractional filters had some unique features compared with the classical integer-order or constant-order fractional filters.


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Copyright information

© 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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