Publication detail
A Note on the Frequency Characteristics of Discrete Systems in the Complex Plane
MATOUŠEK, R. ŠVARC, I.
English title
A Note on the Frequency Characteristics of Discrete Systems in the Complex Plane
Type
conference paper
Language
en
Original abstract
Frequency characteristics of discrete-time systems in the complex plane and in linear coordinates are used to design controllers (correction terms) by frequency methods, to determine stability by frequency stability criteria, to assess the dynamic properties and behavior of the discrete system with respect to the harmonic components of the input signal, and to design various filters. Therefore, their determination is of considerable importance and their mapping and compilation into comprehensive summaries from which their shape and waveform can be determined is not yet done for discrete systems. This part is the first aim of the paper. Furthermore, a comparison of the construction of frequency characteristics of continuous and discrete linear time-invariant (LTI) systems is made and their differences are highlighted. Also, a comparison is made between the shape and waveform of the frequency characteristics of continuous and discrete systems with formally similar transfer functions. This comparison showed a relatively high similarity, which could be used to determine the dynamical properties of these systems. From the comparison of the constructions can also be seen how difficult it is to construct discrete versus continuous characteristics.
English abstract
Frequency characteristics of discrete-time systems in the complex plane and in linear coordinates are used to design controllers (correction terms) by frequency methods, to determine stability by frequency stability criteria, to assess the dynamic properties and behavior of the discrete system with respect to the harmonic components of the input signal, and to design various filters. Therefore, their determination is of considerable importance and their mapping and compilation into comprehensive summaries from which their shape and waveform can be determined is not yet done for discrete systems. This part is the first aim of the paper. Furthermore, a comparison of the construction of frequency characteristics of continuous and discrete linear time-invariant (LTI) systems is made and their differences are highlighted. Also, a comparison is made between the shape and waveform of the frequency characteristics of continuous and discrete systems with formally similar transfer functions. This comparison showed a relatively high similarity, which could be used to determine the dynamical properties of these systems. From the comparison of the constructions can also be seen how difficult it is to construct discrete versus continuous characteristics.
Keywords in English
frequency characteristics, discrete-time system, dimensionless frequency, complex plane, linear coordinates
Released
30.12.2022
Publisher
IEEE
Location
Maldives
ISBN
978-1-6654-7095-7
Book
2022 International Conference on Electrical, Computer, Communications and Mechatronics Engineering (ICECCME)
Pages from–to
1–4
Pages count
4
BIBTEX
@inproceedings{BUT182797,
author="Radomil {Matoušek} and Ivan {Švarc},
title="A Note on the Frequency Characteristics of Discrete Systems in the Complex Plane",
booktitle="2022 International Conference on Electrical, Computer, Communications and Mechatronics Engineering (ICECCME)",
year="2022",
month="December",
pages="1--4",
publisher="IEEE",
address="Maldives",
isbn="978-1-6654-7095-7"
}