10th Small Systems Simulation Symposium

Join leading researchers and practitioners in the field of system simulation at the University of Niš, Faculty of Electronic Engineering

February 12-14, 2026 | University of Niš, Faculty of Electronic Engineering

Design of IIR filters for second-order derivative estimation

https://doi.org/10.46793/SSSS2026.060S



Authors:

  • Petar Stančić
    https://orcid.org/0009-0005-0889-4189

    Faculty of Electronic Engineering, Niš, Serbia


  • Matija Špeletić
    https://orcid.org/0009-0002-9827-7691

    Faculty of Electronic Engineering, Niš, Serbia


  • Ivana Ðorđević
    https://orcid.org/0000-0002-8068-3555

    Faculty of Electronic Engineering, Niš, Serbia


  • Stevica Cvetković
    https://orcid.org/0000-0001-5719-3761

    Faculty of Electronic Engineering, Niš, Serbia


  • Goran Stančić
    https://orcid.org/0000-0003-4392-584X

    Faculty of Electronic Engineering, Niš, Serbia



    The paper is available at the following link: PDF



    Abstract:

    A new method for design of digital IIR filters for input signal second-order derivative estimation is described in this paper. Proposed filters have parallel structure utilizing allpass IIR filters in both branches. Due to the specific configuration, only odd-order real filters can be obtained. Obtained differentiators demand minimum number of multipliers, compared to other approaches, since allpass filters of order N can be realized with only N multipliers. The proposed procedure can be generalized for design of partial differentiators.



    Keywords:

    Differentiators, All-pass filters, Parallel configuration, Near-linear phase.



    REFERENCES:

    [1] Meng, H., Lai, X., Yi, H., "A sequential partial optimization algorithm for design of near linear-phase IIR digital differentiators", Chinese Journal of Electronics, vol. 28, no. 5, pp. 968-977, 2019.
    [2] Krstić, I., Gavrilović Božović M., Stančić, G., "Design of IIR lowpass differentiators using parallel allpass structure", Circuits, System, and Signal Processing, vol. 43, no. 5, pp. 2937-2960, 2024.
    [3] Stančić, G., Krstić, I., Kostić, I., Petrović, M., "Design of IIR full-band differentiators with improved nearly linear phase", Digital Signal Processing, vol. 144, 104276, 2024



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