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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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Adaptor for the Group Delay Measuring
Müller, Marek ; Kratochvíl, Tomáš (referee) ; Říčný, Václav (advisor)
The purpose of this work is to propose the adaptor for the group delay measuring. This equipment would be worked as one special device, which it connects between wobble generator (for example wobbler X1-50) and measured circuit. This configuration can be measured not only the dependence of group delay on frequency at the measured circuit, but it can be measured even its amplitude - frequency characteristics. Whatever oscilloscope can be used for displaying of measured characteristics in the event of the application of other separate wobble generator, when the oscilloscope works in XY mode. The utilization of the equipment can be for example for the group delay measuring of intermediate frequency amplifiers by TV sets at frequency band since 30 MHz to 50 MHz. This equipment is able to measure the group delay time within the range since 0.56 ns to 2 s.
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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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Adaptor for the Group Delay Measuring
Müller, Marek ; Kratochvíl, Tomáš (referee) ; Říčný, Václav (advisor)
The purpose of this work is to propose the adaptor for the group delay measuring. This equipment would be worked as one special device, which it connects between wobble generator (for example wobbler X1-50) and measured circuit. This configuration can be measured not only the dependence of group delay on frequency at the measured circuit, but it can be measured even its amplitude - frequency characteristics. Whatever oscilloscope can be used for displaying of measured characteristics in the event of the application of other separate wobble generator, when the oscilloscope works in XY mode. The utilization of the equipment can be for example for the group delay measuring of intermediate frequency amplifiers by TV sets at frequency band since 30 MHz to 50 MHz. This equipment is able to measure the group delay time within the range since 0.56 ns to 2 s.
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