Effect of Different Approximation Techniques on Fractional-Order KHN Filter Design View Full Text


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Article Info

DATE

2018-12

AUTHORS

Esraa M. Hamed, Amr M. AbdelAty, Lobna A. Said, Ahmed G. Radwan

ABSTRACT

Having an approximate realization of the fractance device is an essential part of fractional-order filter design and implementation. This encouraged researchers to introduce many approximation techniques of fractional-order elements. In this paper, the fractional-order KHN low-pass and high-pass filters are investigated based on four different approximation techniques: Continued Fraction Expansion, Matsuda, Oustaloup, and Valsa. Fractional-order filter fundamentals are reviewed then a comparison is made between the ideal and actual characteristic of the filter realized with each approximation. Moreover, stability analysis and pole movement of the filter with respect to the transfer function parameters using the exact and approximated realizations are also investigated. Different MATLAB numerical simulations, as well as SPICE circuit results, have been introduced to validate the theoretical discussions. Also, to discuss the sensitivity of the responses to component tolerances, Monte Carlo simulations are carried out and the worst cases are summarized which show good immunity to component deviations. Finally, the KHN filter is tested experimentally. More... »

PAGES

1-31

References to SciGraph publications

  • 2017. Fractional-Order Models of Vegetable Tissues in FRACTIONAL-ORDER DEVICES
  • 2018-03. On the Analysis and Design of Fractional-Order Chebyshev Complex Filter in CIRCUITS, SYSTEMS, AND SIGNAL PROCESSING
  • 2018-07. High-Frequency Capacitorless Fractional-Order CPE and FI Emulator in CIRCUITS, SYSTEMS, AND SIGNAL PROCESSING
  • 2016-06. On The Optimization of Fractional Order Low-Pass Filters in CIRCUITS, SYSTEMS, AND SIGNAL PROCESSING
  • 2017-08. Impulsive stabilization of chaos in fractional-order systems in NONLINEAR DYNAMICS
  • 2015-12. Emulation of a constant phase element using operational transconductance amplifiers in ANALOG INTEGRATED CIRCUITS AND SIGNAL PROCESSING
  • 2012-09. Thiele’s continued fractions in digital implementation of noninteger differintegrators in SIGNAL, IMAGE AND VIDEO PROCESSING
  • 2015-05. Fractional Order Sallen–Key and KHN Filters: Stability and Poles Allocation in CIRCUITS, SYSTEMS, AND SIGNAL PROCESSING
  • 2016-09. Fractional Order Oscillator Design Based on Two-Port Network in CIRCUITS, SYSTEMS, AND SIGNAL PROCESSING
  • 2016-06. Approximated Fractional-Order Inverse Chebyshev Lowpass Filters in CIRCUITS, SYSTEMS, AND SIGNAL PROCESSING
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/s00034-018-0833-5

    DOI

    http://dx.doi.org/10.1007/s00034-018-0833-5

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