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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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Analysis of the electronic circuits using Mathcad program
Šimůnek, Martin ; Vochyán, Josef (referee) ; Petržela, Jiří (advisor)
The main idea of this thesis is a propose by designing filters in Mathcad program. This paper deals with a basic principle in filters design and these principles are implemented into the Mathcad program. In the introductory part is described aproximation which was used in Mathcad script. In the other parts of this project is described program which was created on designed filters.
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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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Pseudo-differential Filter Using DDCCs
Sládok, Ondřej
This article describes a pseudo-differential second-order filter, using three differential difference current conveyors (DDCCs) and five passive elements. The proposed structure is able to realize all types of frequency responses. The circuit has a high input impedance, low active and passive sensitivity and high common-mode rejection ratio (CMRR).
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Analysis of the electronic circuits using Mathcad program
Šimůnek, Martin ; Vochyán, Josef (referee) ; Petržela, Jiří (advisor)
The main idea of this thesis is a propose by designing filters in Mathcad program. This paper deals with a basic principle in filters design and these principles are implemented into the Mathcad program. In the introductory part is described aproximation which was used in Mathcad script. In the other parts of this project is described program which was created on designed filters.
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