Practical Design of Fractional-Order Oscillator Employing Simple Resonator and Negative Resistor

Šotner, Roman; Jeřábek, Jan; Domansky, Ondrej; Herencsár, Norbert; Kartci, Aslihan; Dvořák, Jan

doi:10.1109/icumt.2018.8631226

Cited by 9 publications

(18 citation statements)

References 11 publications

(18 reference statements)

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“…It can be used for adjustment of parameters in oscillators (condition of oscillations), filters (adjustment of the quality factor) or resonators (determined losses) [39].…”

Section: A Analysis Of the Lossymentioning

confidence: 99%

Capacitance Multiplier Using Small Values of Multiplication Factors for Adjustability Extension and Parasitic Resistance Cancellation Technique

et al. 2020

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This paper presents a new concept of a capacitance multiplier using the topology of differential voltage buffer and current conveyor, where the capacitor is connected to the current input terminal. The presented topology overcomes the typical issue known from similar solutions, i.e. creation of an undesired lossy character of the impedance plot. The added feedback path in the structure serves for minimization of the serial parasitic resistance of the current input terminal as well as the output resistance of differential voltage buffer. The electronic driving of the current and voltage internal gains of the active elements allows the adjustment of the capacitance multiplication factor as well as readjustment of the overall capacitance structure between the lossy and lossless modes of operation. The adjustment of the multiplication factor intentionally targets low ranges of gains. Despite that the multiplication factor equals or is less than 1, the range of adjustability is very wide. Simple modifications of the proposed concept leading to the differential-mode operation and enhancement of the multiplication factor are shown and explored. They were experimentally tested in more than 2 decades, from 0.03 to 5.8 nF, and controlled by single DC voltage from 0.1 to 1.0 V. The outputs of experimental measurements meet with the PSpice simulations and confirm the design validity.

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“…It can be used for adjustment of parameters in oscillators (condition of oscillations), filters (adjustment of the quality factor) or resonators (determined losses) [39].…”

Section: A Analysis Of the Lossymentioning

confidence: 99%

Capacitance Multiplier Using Small Values of Multiplication Factors for Adjustability Extension and Parasitic Resistance Cancellation Technique

et al. 2020

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“…The magnitude and phase traces of approximated fractional-order part H(s) [23], used in the following verification, represent this setting of ideal model (2): A = 100, τ1 = 7 s,  = 0.25 that fits the behavior of modified CPE in studied bandwidth inspired by [23]. Note that there is significant difference between approximated and ideal case at low frequencies due to limited validity of approximation for these frequencies.…”

Section: Tests Of Topology With Approximant Of Fractional-order Imentioning

confidence: 99%

“…9. RC chain of CPE (topology adopted from [23], values recalculated for this particular application).…”

Section: Tests Of Topology With Approximant Of Fractional-order Imentioning

confidence: 99%

Design of Fractional-Order Integrator Controlled by Single Voltage Gain

Šotner

Petržela

Jeřábek

et al. 2019

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

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This work presents analyses of interaction of fractional-and integer-order transfer functions when their responses are added together by simple linear operation of sum. The mathematical background is very complex but practical consequences may be very useful for further design of electronically reconfigurable circuits including modification of shape of the resulting magnitude and phase responses. Described approach allows control of constant phase shift in limited operational bandwidth by single parameter that is documented by PSpice simulations with models of common of-the-shelf active elements.

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“…This type of equation is not very suitable for direct hand calculations [1], [2]. Nevertheless, recent years brought many interesting concepts of fractional-order oscillators that were studied in [1]- [15]. Table 1 provides their brief overview.…”

Section: Introductionmentioning

confidence: 99%

Practical Design of Fractional-Order Resonator for Application in the Multiphase Oscillator

Šotner

Jeřábek

Langhammer

et al. 2020

2020 27th IEEE International Conference on Electronics, Circuits and Systems (ICECS)

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This contribution introduces a new simple electronically adjustable resonator for implementation in design of the fractional-order multiphase oscillator created with parallel connection of this resonator and negative resistor. The circuit may operate in single-ended or differential/pseudodifferential mode using integer and fractional-order capacitor. Design example is provided for generation of signals with ideal phase shifts equal to 22.5, 157.5 and 180 degrees in the operating frequency band of 47 kHz ̶ 275 kHz with simple tuning of a single parameter. The features of the circuit were verified by PSpice simulations using suitable models and building blocks. Results confirmed expected behavior.

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Practical Design of Fractional-Order Oscillator Employing Simple Resonator and Negative Resistor

Cited by 9 publications

References 11 publications

Capacitance Multiplier Using Small Values of Multiplication Factors for Adjustability Extension and Parasitic Resistance Cancellation Technique

Capacitance Multiplier Using Small Values of Multiplication Factors for Adjustability Extension and Parasitic Resistance Cancellation Technique

Design of Fractional-Order Integrator Controlled by Single Voltage Gain

Practical Design of Fractional-Order Resonator for Application in the Multiphase Oscillator

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