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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

Belenkevich N.I., Senior Lecturer at the Department of Infocommunication Technologies 

Minsk



V. A. Ilyinkov
Belarusian State University of Informatics and Radioelectronics
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.)

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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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ISSN 1729-7648 (Print)
ISSN 2708-0382 (Online)