Fractional-order oscillator design using unity-gain voltage buffers and OTAs

Kartci, Aslihan; Herencsár, Norbert; Koton, Jaroslav; Brančík, Lubomír; Vrba, Kamil; Τσιριμώκου, Γεωργία; Psychalinos, Costas

doi:10.1109/mwscas.2017.8052983

Cited by 30 publications

(21 citation statements)

References 15 publications

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“…(10) or (11) with those in Eq. (13). It should be mentioned at this point that both integrator and di®erentiator can be implemented by the same structure, just by appropriately selecting the values of time-constants and gain factors.…”

Section: Realizations Of Fractional-order Capacitor and Inductor Emulmentioning

confidence: 99%

“…Owing to the interdisciplinary nature of the fractional calculus, 1 there is a growing research interest in the development of fractional-order circuits including¯lters, [2][3][4][5][6][7][8][9] oscillators, [10][11][12][13] biological tissues emulators, 14 and energy storage devices. 15 In these applications, the basic building blocks are the fractional-order capacitors and/or fractional-order inductors.…”

Section: Introductionmentioning

confidence: 99%

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Comparative Study of Discrete Component Realizations of Fractional-Order Capacitor and Inductor Active Emulators

Τσιριμώκου

Kartci

Koton

et al. 2018

J CIRCUIT SYST COMP

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Due to the absence of commercially available fractional-order capacitors and inductors, their implementation can be performed using fractional-order di®erentiators and integrators, respectively, combined with a voltage-to-current conversion stage. The transfer function of fractional-order di®erentiators and integrators can be approximated through the utilization of appropriate integer-order transfer functions. In order to achieve that, the Continued Fraction Expansion as well as the Oustaloup's approximations can be utilized. The accuracy, in terms of magnitude and phase response, of transfer functions of di®erentiators/integrators derived through the employment of the aforementioned approximations, is very important factor for achieving high performance approximation of the fractional-order elements. A comparative study of the accuracy o®ered by the Continued Fraction Expansion and the Oustaloup's approximation is performed in this paper. As a next step, the corresponding implementations of the emulators of the fractional-order elements, derived using fundamental active cells such as operational ampli¯ers, operational transconductance ampli¯ers, current conveyors, and current feedback operational ampli¯ers realized in commercially available discrete-component IC form,

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Section: Realizations Of Fractional-order Capacitor and Inductor Emulmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Comparative Study of Discrete Component Realizations of Fractional-Order Capacitor and Inductor Active Emulators

Τσιριμώκου

Kartci

Koton

et al. 2018

J CIRCUIT SYST COMP

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“…Generators of the harmonic signals are not demanding applications with respect to CPEs unless these are supposed to be tunable in a wide frequency range. Thus, the CPEs utilized in [67] cannot be transferred to other systems that oscillate at a different frequency.…”

Section: Introductionmentioning

confidence: 99%

Accurate Constant Phase Elements Dedicated for Audio Signal Processing

Petržela

2019

Applied Sciences

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This review paper introduces real-valued two-terminal fully passive RC ladder structures of the so-called constant phase elements (CPEs). These lumped electronic circuits can be understood as two-terminal elements described by fractional-order (FO) dynamics, i.e., current–voltage relation described by non-integer-order integration or derivation. Since CPEs that behave almost ideally are still not available as off-the-shelf components, the correct behavior must be approximated in the frequency domain and is valid only in the predefined operational frequency interval. In this study, an audio frequency range starting with 20 Hz and ending with 20 kHz has been chosen. CPEs are designed and values tabularized for predefined phase shifts that are commonly used in practice. If constructed carefully, a maximum phase error less than 0.5° can be achieved. Several examples of direct utilization of designed CPEs in signal processing applications are provided.

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“…Many classical fractional-order oscillators were presented using conventional op-amps or its equivalent macromodels [3]. Although the aforementioned solutions could be implemented using commercially available discrete-component ICs, from the integration point of view they suffer from the increased transistor count that they are required for implementing the active cells [4]− [6]. In general, fractional-order oscillators offer: (i) independent tuning of the frequency and condition of oscillation, (ii) extremely low and high frequency of oscillation (FO) than its integer-order counterpart, (iii) requirement for capacitances with reasonable values, (iv) possibility for achieving different frequency of oscillation/start-up condition (CO) by only changing the order/capacitance values.…”

Section: Introductionmentioning

confidence: 99%

VDIBA-Based Fractional-Order Oscillator Design

Kartci

Herencsár

Dvořák

et al. 2019

2019 42nd International Conference on Telecommunications and Signal Processing (TSP)

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This paper deals with a voltage-mode integer-and fractional-order oscillator design providing compact and simple CMOS structure. The proposed circuit consists of only one grounded/floating capacitor, one grounded/floating resistor, and one high-performance and versatile active element so-called voltage differencing inverting buffered amplifier (VDIBA), employing only six transistors. Compared with the corresponding already introduced fractional-order oscillators, it offers the benefit of low transistor count. In addition, it offers the wellknown advantages of fractional-order oscillators about the capability for achieving very low and high oscillation frequencies with reasonable component values. The design parameters of the proposed oscillator can be electronically adjusted via change of order of the fractional-order capacitor and/or by means of bias current of the internal transconductance of the VDIBA. Theoretical results are verified by SPICE simulations using TSMC 0.18 μm level-7 LO EPI SCN018 CMOS process parameters with ±0.9 V supply voltages.

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Fractional-order oscillator design using unity-gain voltage buffers and OTAs

Cited by 30 publications

References 15 publications

Comparative Study of Discrete Component Realizations of Fractional-Order Capacitor and Inductor Active Emulators

Comparative Study of Discrete Component Realizations of Fractional-Order Capacitor and Inductor Active Emulators

Accurate Constant Phase Elements Dedicated for Audio Signal Processing

VDIBA-Based Fractional-Order Oscillator Design

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