Analog realization of fractional filters: Laguerre approximation approach

Baranowski, Jerzy; Pauluk, M.; Tutaj, Andrzej

doi:10.1016/j.aeue.2017.06.011

Cited by 23 publications

(10 citation statements)

References 26 publications

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“…The generalized firstorder [6], second-order [7], Butterworth [8], Chebyshev [9], [10], inverse-Chebyshev [11], elliptic [12], power-law [13], and double-exponent [14] filters have been reported in the literature. Various works have demonstrated the low-pass, highpass, and band-pass filter characteristics based on the FO transfer function (FOTF) [15]- [18]. The implementation of FOTF models can be accomplished using fractance devices (also known as constant phase elements) [19].…”

Section: Introductionmentioning

confidence: 99%

Optimal Approximation of Fractional-Order Butterworth Filter Based on Weighted Sum of Classical Butterworth Filters

2021

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In this paper, a new two-steps design strategy is introduced for the optimal rational approximation of the fractional-order Butterworth filter. At first, the weighting factors of the summation between the n th -order and the (n + 1) th -order Butterworth filters are optimally determined. Subsequently, this model is employed as an initial point for another optimization routine, which minimizes the magnitudefrequency error relative to the (n + α) th -order, where α ∈ (0, 1), Butterworth filter. The proposed approximant demonstrates improved performance about the magnitude mean squared error compared to the state-of-the-art design for six decades of bandwidth, but the introduced approach does not require a fractional-order transfer function model and the approximant of the s α operator. The proposed strategy also avoids the use of the cascading technique to yield higher-order fractional-order Butterworth filter models. The performance of the proposed 1.5 th -order Butterworth filter in follow-the-leader feedback topology is verified through SPICE simulations and its hardware implementation based on Analog Devices AD844ANtype current feedback operational amplifier.

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Section: Introductionmentioning

confidence: 99%

Optimal Approximation of Fractional-Order Butterworth Filter Based on Weighted Sum of Classical Butterworth Filters

2021

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“…The system was capable of implementing Random Number Generators (RNG) using digital circuits based on integer and fractional-order chaotic systems [15] . The approximation problem of fractional-order systems with rational functions of low order have been raised and tried to be solved using optimization methods [16] , [17] , [18] . However, the complexity coupled with the uncertainty of chaos makes the realization of fractional-order chaotic systems hard to implement in engineering scenarios.…”

Section: Introductionmentioning

confidence: 99%

Analysis and implementation of fractional-order chaotic system with standard components

Yao

Wang

Huang

et al. 2020

Journal of Advanced Research

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“…Recently, fractional calculus has been applied extensively to electrical circuits. Many theorems and generalized fundamentals, such as stability theorems, filters, fractional-order oscillators and charging circuits, have been introduced using fractional-order circuits [12] , [13] , [14] , [15] , [16] , [17] , [18] , [19] , [20] , [21] .…”

Section: Introductionmentioning

confidence: 99%