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On The Optimization of Fractional Order Low-Pass Filters

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Abstract

This paper presents three different optimization cases for normalized fractional order low-pass filters (LPFs) with numerical, circuit and experimental results. A multi-objective optimization technique is used for controlling some filter specifications, which are the transition bandwidth, the stop band frequency gain and the maximum allowable peak in the filter pass band. The extra degree of freedom provided by the fractional order parameter allows the full manipulation of the filter specifications to obtain the desired response required by any application. The proposed mathematical model is further applied to a case study of a practical second- generation current conveyor (CCII)-based fractional low-pass filter. Circuit simulations are performed for two different fractional order filters, with orders 1.6 and 3.6, with cutoff frequencies 200 and 500 Hz, respectively. Experimental results are also presented for LPF of 4.46 kHz cutoff frequency using a fabricated fractional capacitor of order 0.8, proving the validity of the proposed design approach.

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Authors and Affiliations

  1. Faculty of IET, German University in Cairo (GUC), Cairo, Egypt

    Lobna A. Said & Samar M. Ismail

  2. Department of Engineering Mathematics and Physics, Cairo University, Giza, Egypt

    Ahmed G. Radwan

  3. NISC Research Center, Nile University, Cairo, Egypt

    Ahmed G. Radwan & Ahmed H. Madian

  4. Radiation Engineering Department, NCRRT, Egyptian Atomic Energy, Authority, Cairo, Egypt

    Ahmed H. Madian

  5. Electronics and Communications Engineering Department, Cairo University, Cairo, Egypt

    Mohamed F. Abu El-Yazeed & Ahmed M. Soliman

Authors
  1. Lobna A. Said
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  2. Samar M. Ismail
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  3. Ahmed G. Radwan
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  4. Ahmed H. Madian
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  5. Mohamed F. Abu El-Yazeed
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  6. Ahmed M. Soliman
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Correspondence to Ahmed H. Madian.

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Said, L.A., Ismail, S.M., Radwan, A.G. et al. On The Optimization of Fractional Order Low-Pass Filters. Circuits Syst Signal Process 35, 2017–2039 (2016). https://doi.org/10.1007/s00034-016-0258-y

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  • DOI: https://doi.org/10.1007/s00034-016-0258-y

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