A Fractional Order Notch Filter to Compensate the Attenuation-Loss Due to Change in Order of the Circuit

Mohapatra, Arpit Sourav; Biswas, Karabi

doi:10.1109/tcsi.2020.3038282

Cited by 16 publications

(8 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Although, the fabricated device has big size compared with modern electronic components, the method of designing a single-element, passive fractional-order inductor with variable CPA proposed in this work, has the potential to be modeled with smaller size. Moreover, the generalized Equation (3) shows that the fractional-order impedance does not depend on the shape of the structure as long as it can support the propagation of a TEM wave. Therefore, in the future work, we will investigate on the miniaturization of the proposed design method and the possibility of deploying this method to other structures.…”

Section: Discussionmentioning

confidence: 99%

“…By introducing FOEs, improvements in frequency response can be observed for various applications. For instance, applications include the fractional‐order components and systems for power applications, 1,2 the fractional‐order filters, 3,4 the fractional‐order controller, 5 the fractional‐order matching network 6 based on the fractional smith chart theory, 7 the fractional‐order resonator, 8 and the fractional‐order integrator/differentiator 9 . FOEs are introduced to achieve better performance and design 10 .…”

Section: Introductionmentioning

confidence: 99%

“…9 FOEs are introduced to achieve better performance and design. 10 Fractional-order capacitor is used in a previous study, 3 providing an extra degree of freedom in the design which helps to compensate the attenuation loss. In Kadlc ˇík and Horský, 5 a fractionalorder controller can maintain a good stability of the regulation loop and a low dynamic DC output resistance of the voltage regulator.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A variable fractional‐order inductor design

Zhang

Kartci

Bağcı

et al. 2022

Circuit Theory & Apps

View full text Add to dashboard Cite

Recently, interest in fractional‐order inductors (FOIs) has increased since they allow for accurate and robust models of dynamical systems to be designed. However, practical implementation of these models has not been possible due to the lack of single FOI realizations. To address this challenge, in this work, we propose a simple‐to‐realize fractional‐order inductor design with variable constant phase angle (CPA). The design relies on characteristics of transverse electromagnetic (TEM) mode propagating on a coaxial structure filled with conductive material, more specifically NaCl‐water solution and flour‐based mixtures. The CPA of the resulting FOI can be tuned by changing the conductivity of the dough mixture. Analysis of the proposed FOI design show that the CPA can vary in a range from 0° to 90°. Two of these CPA values are verified against experiments in the frequency band changing from 1 to 10 MHz.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A variable fractional‐order inductor design

Zhang

Kartci

Bağcı

et al. 2022

Circuit Theory & Apps

View full text Add to dashboard Cite

show abstract

“…−β tan −1 ω 2α sin(απ) + 2aω α sin(απ/2) A different form of double FO-exponent LP and HP filter transfer functions, such as {1/(s α + 1)} β and {s α /(s α + 1)} β , respectively, where α, β ∈ (−2, 2), were reported in [28]. Two FO elements-based band-stop filter of the form (s p + k 1 s q + k 2 )/(s p + k 3 s q + k 2 ), where, p = 1 + β 1 + β 2 , q = 1 + β 2 , and β 1 , β 2 ∈ (0, 1), was presented in [29], which is also unlike the proposed fractional-order band-stop filter (FBSF) model. Note that the transfer function of the PLF reported in [20][21][22][23] can be obtained from (4) by setting α = 1.…”

Section: Phasementioning

confidence: 99%

Further Generalization and Approximation of Fractional-Order Filters and Their Inverse Functions of the Second-Order Limiting Form

Mahata¹,

Herencsár

Kubánek

2022

Fractal Fract

View full text Add to dashboard Cite

This paper proposes a further generalization of the fractional-order filters whose limiting form is that of the second-order filter. This new filter class can also be regarded as a superset of the recently reported power-law filters. An optimal approach incorporating constraints that restricts the real part of the roots of the numerator and denominator polynomials of the proposed rational approximant to negative values is formulated. Consequently, stable inverse filter characteristics can also be achieved using the suggested method. Accuracy of the proposed low-pass, high-pass, band-pass, and band-stop filters for various combinations of design parameters is evaluated using the absolute relative magnitude/phase error metrics. Current feedback operational amplifier-based circuit simulations validate the efficacy of the four types of designed filters and their inverse functions. Experimental results for the frequency and time-domain performances of the proposed fractional-order band-pass filter and its inverse counterpart are also presented.

show abstract

“…Applications of fractional calculus are pervading in various engineering disciplines [15], including fractional-order (FO) circuit theory and filter design [19]. Due to the presence of additional design parameters or 'tuning knobs' (viz., υ), FO filters exhibit amplitude, delay, and transient characteristics, which are not possible to achieve using the classical ones [2,11].…”

Section: Introductionmentioning

confidence: 99%

Optimized fractional-order Butterworth filter design in complex F-plane

Mahata¹,

Herencsár

Kubánek

et al. 2022

Fract Calc Appl Anal

View full text Add to dashboard Cite

This paper introduces a new technique to optimally design the fractional-order Butterworth low-pass filter in the complex F-plane. Design stability is assured by incorporating the critical phase angle as an inequality constraint. The poles of the proposed approximants reside on the unit circle in the stable region of the F-plane. The improved accuracy of the suggested scheme as compared to the recently published literature is demonstrated. A mixed-integer genetic algorithm which considers the parallel combinations of resistors and capacitors for the Valsa network is used to optimize the frequency responses of the fractional-order capacitor emulators as part of the experimental verification using the Sallen–Key filter topology. The total harmonic distortion and spurious-free dynamic range of the practical 1.5th-order Butterwoth filter are measured as 0.13% and 62.18 dBc, respectively; the maximum and mean absolute relative magnitude errors are 0.03929 and 0.02051, respectively.

show abstract

A Fractional Order Notch Filter to Compensate the Attenuation-Loss Due to Change in Order of the Circuit

Cited by 16 publications

References 27 publications

A variable fractional‐order inductor design

A variable fractional‐order inductor design

Further Generalization and Approximation of Fractional-Order Filters and Their Inverse Functions of the Second-Order Limiting Form

Optimized fractional-order Butterworth filter design in complex F-plane

Contact Info

Product

Resources

About