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Controllable Fractional-Order Analogue Electronic Circuits
Dvořák, Jan ; Vávra, Jiří (oponent) ; Šimák, Boris (oponent) ; Jeřábek, Jan (vedoucí práce)
The doctoral thesis focuses on the synthesis and analysis of novel non-integer-order (fractional-order) circuit structures with electronically adjustable parameters. The main goal of the thesis is the design of new solutions of fractional-order current-mode filtering structures, fractional-order passive elements and also oscillators. The thesis contains the designs of three emulators of fractional-order elements, three filtering structures and two oscillators based on the usage of a fractional-order passive element in their circuit structure, and two general conceptions of fractional-order filters based on an approximation of the fractional-order transfer function. Based on general conceptions of the filtering structures, the fractional-order low-pass and high-pass filters are designed. The adjustability of the order, the pole frequency and in several cases also the quality factor of the proposed circuits is provided by used active elements with adjustable parameters. The features of the proposed circuits are verified by simulations using behavioural simulation models of the active elements. Several of these circuits were implemented on PCB and verified by laboratory measurement.
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Controllable Fractional-Order Analogue Electronic Circuits
Dvořák, Jan ; Vávra, Jiří (oponent) ; Šimák, Boris (oponent) ; Jeřábek, Jan (vedoucí práce)
The doctoral thesis focuses on the synthesis and analysis of novel non-integer-order (fractional-order) circuit structures with electronically adjustable parameters. The main goal of the thesis is the design of new solutions of fractional-order current-mode filtering structures, fractional-order passive elements and also oscillators. The thesis contains the designs of three emulators of fractional-order elements, three filtering structures and two oscillators based on the usage of a fractional-order passive element in their circuit structure, and two general conceptions of fractional-order filters based on an approximation of the fractional-order transfer function. Based on general conceptions of the filtering structures, the fractional-order low-pass and high-pass filters are designed. The adjustability of the order, the pole frequency and in several cases also the quality factor of the proposed circuits is provided by used active elements with adjustable parameters. The features of the proposed circuits are verified by simulations using behavioural simulation models of the active elements. Several of these circuits were implemented on PCB and verified by laboratory measurement.
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Adjustable Fractional-Order High-Pass Filter with Transconductance Amplifiers
Dvořák, Jan ; Langhammer, Lukas
This paper deals with proposal of a fractional-order high-pass filter with electronically tunable pole frequency and its order. The filter is designed using operational transconductance amplifiers (OTAs), current follower (CF) and adjustable current amplifiers (ACAs). Function of proposed filter was verified using simulations in PSpice simulator. The circuit features were verified in simulations for three values of order of the filter and four values of cut-off frequency. In this paper, possibility to tune the cut-off frequency using the values of passive components is also mentioned.
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