Mathematical modeling of signals, linear links and responses of telecommunications and radioelectronics systems in time domain
https://doi.org/10.35596/1729-7648-2021-19-7-22-30
Abstract
A single mathematical model of time characteristics of signals, links and responses of telecommunications and radioelectronics systems is suggested. It embodies Dirac- and Heaviside responses of all types of linear links, as well as their responses to the input in the form of periodic signals, no periodic finite and no periodic eternal signals. On the basis of the suggested model the algorithm for calculation of time characteristics was developed, which allows creation of effective automated simulations procedure of signals, links and responses in time-domain. The comparative quantitative analysis of accuracy of the suggested algorithm and discrete Fourier transformation (DFT) algorithm was carried out.
About the Authors
N. I. Belenkevich
Belarusian State University of Informatics and Radioelectronics
Belarus
Belarus
Belenkevich N.I., Senior Lecturer at the Department of Infocommunication Technologies
Minsk
V. A. Ilyinkov
Belarusian State University of Informatics and Radioelectronics
Belarus
Belarus
Ilyinkov V.A., PhD, Associate Professor, Associate Professor at the Department of Infocommunication Technologies
Minsk
References
1. Belenkevich N.I., Ilyinkov V.A. [The compatible mathematical description of signals, linear links and responses of telecommunications and radioelectronics systems]. Vestsi Natsyyanal’nai akademii navuk Belarusi. Seryya fizika-technichnych navuk = Proceedings of the National Academy of Sciences of Belarus. Physical-technical series. 2017;4:93-104. (In Russ.)
2. Belenkevich N.I., Ilyinkov V.A., Kukhmar D.A. [Modeling of signals, linear links and responses of telecommunications and radioelectronics systems in frequency domain]. Doklady BGUIR = Doklady BGUIR. 2018;4(114):29-36. (In Russ.)
3. Ilyinkov V. A. [A method of the computation of a linear system’s response to a periodic action]. Radiotekhnika = Radio Engineering. 1990;10:14-16 (In Russ.)
4. Ilyinkov V. A., Ilyinkova N. I. [A method of the computation of a linear system’s response to periodic and non-periodic actions]. Vestnik BGU. Seriya 1: Fizika, matematika, informatika = Vestnik BSU. Series 1: Physics. Mathematics. Informatics. 1999;3:33-38. (In Russ.)
5. Lavrent’ev M.A., Shabat B.V. [Methods of the theory of functions of a complex variable]. St. Petersburg: Lan' Publ.; 2002. (In Russ.)
6. Gonorovskij I.S. [Radio technical circuits and signals]. Moscow: Drofa Publ.; 2006. (In Russ.)
7. Baskakov S.I. [Radio technical circuits and signals]. Moscow: Lenand Publ.; 2016. (In Russ.)
Review
For citations:
Belenkevich N.I., Ilyinkov V.A. Mathematical modeling of signals, linear links and responses of telecommunications and radioelectronics systems in time domain. Doklady BGUIR. 2021;19(7):22-30. (In Russ.) https://doi.org/10.35596/1729-7648-2021-19-7-22-30
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