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Analysis of frequency and transient properties of non-integer order filters
Cieslar, Šimon ; Kubánek, David (referee) ; Koton, Jaroslav (advisor)
The bachelor thesis deals with analysis of frequency and transient properties of noninteger ( + )-order filters. These filters allow the use of a lower order, compared to the next higher integer-order ( + 1). For example, a system should be created, but a second order would not be sufficient, and in case of the integer-order, a third order system would be considered, but in the case of using a non-integer-order, a fractal-order between them can be used. In the following documentation, attention is paid to the defined group of fractal-order transfer functions, which approximate the identical course of the modulus characteristic according to Butterworth. The form of the function of the linear systems was not taken into account and characteristics such as phase response, group delay, step response and stability were analyzed and evaluated. All for the system ( + )-order, where 3, 4, variable Z1, 4 for (3 + )-order, variable Z1, 5 for (4 + )-order, and (0, 1). Non-integer systems offer a infinite number of orders, making them sometimes more advantageous in a step response or group delay. They can also provide an additional degree of freedom in designing a filter to fine-tune the slope of the amplitude characteristic in the bandwidth. The bachelor thesis deals with non-integer orders and their use in the case of required properties. For easier selection of the correct non-integer order with respect to the required properties, a design recommendation was written within the bachelor’s thesis.
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Analogue emulators of fractional-order circuits
Kubát, Pavel ; Langhammer, Lukáš (referee) ; Dvořák, Jan (advisor)
Diploma thesis deals with circuits contain fractional-order elements. The first part of this paper deals with this problem, there were also described methods of design fractionalorder elements and types of circuits containing the fractiona-order elements which can be applied in practice. Used active elements for practical part can be found in the second chapter. Design of GIC circuits and implementation of fractional-order element inside the circuit are shown in the last chapture. Parasitic analysis and stability of frequency filter containing fractional-order element had been also described.
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Analysis of frequency and transient properties of non-integer order filters
Cieslar, Šimon ; Kubánek, David (referee) ; Koton, Jaroslav (advisor)
The bachelor thesis deals with analysis of frequency and transient properties of noninteger ( + )-order filters. These filters allow the use of a lower order, compared to the next higher integer-order ( + 1). For example, a system should be created, but a second order would not be sufficient, and in case of the integer-order, a third order system would be considered, but in the case of using a non-integer-order, a fractal-order between them can be used. In the following documentation, attention is paid to the defined group of fractal-order transfer functions, which approximate the identical course of the modulus characteristic according to Butterworth. The form of the function of the linear systems was not taken into account and characteristics such as phase response, group delay, step response and stability were analyzed and evaluated. All for the system ( + )-order, where 3, 4, variable Z1, 4 for (3 + )-order, variable Z1, 5 for (4 + )-order, and (0, 1). Non-integer systems offer a infinite number of orders, making them sometimes more advantageous in a step response or group delay. They can also provide an additional degree of freedom in designing a filter to fine-tune the slope of the amplitude characteristic in the bandwidth. The bachelor thesis deals with non-integer orders and their use in the case of required properties. For easier selection of the correct non-integer order with respect to the required properties, a design recommendation was written within the bachelor’s thesis.
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Analogue emulators of fractional-order circuits
Kubát, Pavel ; Langhammer, Lukáš (referee) ; Dvořák, Jan (advisor)
Diploma thesis deals with circuits contain fractional-order elements. The first part of this paper deals with this problem, there were also described methods of design fractionalorder elements and types of circuits containing the fractiona-order elements which can be applied in practice. Used active elements for practical part can be found in the second chapter. Design of GIC circuits and implementation of fractional-order element inside the circuit are shown in the last chapture. Parasitic analysis and stability of frequency filter containing fractional-order element had been also described.
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Adjustable Filter With Fractional-Order Element
Kubát, Pavel
This paper deals with fractal-order frequency filter, its design methods and practical use. The proposed filter consists of operational transconductance amplifiers (OTAs), adjustable current amplifier (ACA), dual-output current follower (DO-CF) and fractional-order capacitor (FOE). The approximation of fractional-order capacitor is used for the design fractal order frequency filter. The last part of this paper shows simulation results of the proposed cicuit.
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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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