Fractional Step Analog Filter Design

Freeborn, Todd J.; Maundy, Brent; Elwakil, Ahmed S.

doi:10.1007/978-3-642-36329-0_11

Cited by 8 publications

(3 citation statements)

References 14 publications

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“…Various fractional-order filters have been designed for Butterworth filters [6] or Chebyshev Filters [4,[7][8][9][10][11]. The filters have been designed using various blocks such as field-programmable gate arrays, field-programmable analog arrays, Tow Thomas Biquad filters [4,12]. The proposed work displays a technique to design a fractional-order Chebyshev high pass filter for different orders of ሺ1 + ߙሻ, ሺ2 + ߙሻ and (3 + ߙ).…”

Section: Design Of the High Pass Filtermentioning

confidence: 99%

Designing of a Tunable Fractional Order Chebyshev High Pass Filter Using Particle Swarm Optimization

Daryani

Aggarwal

2022

Advances in Transdisciplinary Engineering

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Fractional order Chebyshev high pass filters have been designed in this paper for orders (1+α), (2+α) and (3+α), α representing the fractional component. The work in this paper has been done by using the nature-inspired evolutionary metaheuristic technique called particle swarm optimization. MATLAB simulations for these filters have been shown with α varying from 0.1 to 0.9 at a step of 0.1. The attenuation values are compared with the ideal values. The canonical forms of the (1+α) order filters have been realized using OTA based KHN filter. Circuit element values are calculated for orders 1.2, 1.5 and 1.8 using factional order capacitors. These capacitors are approximated as Foster 1 form.

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Section: Design Of the High Pass Filtermentioning

confidence: 99%

Designing of a Tunable Fractional Order Chebyshev High Pass Filter Using Particle Swarm Optimization

Daryani

Aggarwal

2022

Advances in Transdisciplinary Engineering

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“…The authors of [ 61 ] present a detailed study on the design, analysis and physical realization of analog low-pass, high-pass and band-pass fractional-order filters. The paper proposes a design strategy that uses s domain transfer functions, as opposed to similar works that use the

plane (such as [ 51 , 53 ]).…”

Section: Fractional-order Filtersmentioning

confidence: 99%

A Review of Recent Advances in Fractional-Order Sensing and Filtering Techniques

Muresan

Birs

Dulf

et al. 2021

Sensors

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The present manuscript aims at raising awareness of the endless possibilities of fractional calculus applied not only to system identification and control engineering, but also into sensing and filtering domains. The creation of the fractance device has enabled the physical realization of a new array of sensors capable of gathering more information. The same fractional-order electronic component has led to the possibility of exploring analog filtering techniques from a practical perspective, enlarging the horizon to a wider frequency range, with increased robustness to component variation, stability and noise reduction. Furthermore, fractional-order digital filters have developed to provide an alternative solution to higher-order integer-order filters, with increased design flexibility and better performance. The present study is a comprehensive review of the latest advances in fractional-order sensors and filters, with a focus on design methodologies and their real-life applicability reported in the last decade. The potential enhancements brought by the use of fractional calculus have been exploited as well in sensing and filtering techniques. Several extensions of the classical sensing and filtering methods have been proposed to date. The basics of fractional-order filters are reviewed, with a focus on the popular fractional-order Kalman filter, as well as those related to sensing. A detailed presentation of fractional-order filters is included in applications such as data transmission and networking, electrical and chemical engineering, biomedicine and various industrial fields.

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“…At present, there are three frequently-used definitions of the fractional derivative, which are the Grunwald-Letnikov, the Riemann-Liouville, and Caputo definitions. [28] Here, we use the Caputo definition of the fractional derivative over other definitions because the initial conditions of this definition take the same form as the more familiar integer-order differential equations. The fractional derivative by Caputo is denoted as…”

Section: Fractional-order Lc Lcmentioning

confidence: 99%

Fractional-orderL_βC_αfilter circuit network

et al. 2015

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In this paper we introduce the new fundamentals of the conventional LC filter circuit network in the fractional domain. First, we derive the general formulae of the impedances for the conventional and fractional-order filter circuit network. Based on this, the impedance characteristics and phase characteristics with respect to the system variables of the filter circuit network are studied in detail, which shows the greater flexibility of the fractional-order filter circuit network in design. Moreover, from the point of view of the filtering property, we systematically study the effects of the filter units and fractional orders on the amplitude–frequency characteristics and phase–frequency characteristics. In addition, numerical tables of the cut-off frequency are presented. Finally, two typical examples are presented to promote the industrial applications of the fractional-order filter circuit network. Numerical simulations are presented to verify the theoretical results introduced in this paper.

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Fractional Step Analog Filter Design

Cited by 8 publications

References 14 publications

Designing of a Tunable Fractional Order Chebyshev High Pass Filter Using Particle Swarm Optimization

Designing of a Tunable Fractional Order Chebyshev High Pass Filter Using Particle Swarm Optimization

A Review of Recent Advances in Fractional-Order Sensing and Filtering Techniques

Fractional-orderL_βC_αfilter circuit network

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Fractional Step Analog Filter Design

Cited by 8 publications

References 14 publications

Designing of a Tunable Fractional Order Chebyshev High Pass Filter Using Particle Swarm Optimization

Designing of a Tunable Fractional Order Chebyshev High Pass Filter Using Particle Swarm Optimization

A Review of Recent Advances in Fractional-Order Sensing and Filtering Techniques

Fractional-orderLβCαfilter circuit network

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Fractional-orderL_βC_αfilter circuit network