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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 6, Pages 36–47
DOI: https://doi.org/10.26907/0021-3446-2020-6-36-47 (Mi ivm9581) 		 
Discrete-time systems with frequency response of the Markov–Stieltjes type

A. R. Mirotin, I. S. Kovaleva

Francisk Skaryna Gomel State University, 104 Sovetskaya str., Gomel, 246019 Republic of Belarus
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DOI: https://doi.org/10.26907/0021-3446-2020-6-36-47
Abstract: A class of discrete-time filters (systems) is selected, the frequency characteristics of which are functions of the Markov–Stieltjes type. A description of these filters is given in terms of their system function and impulse response. The properties of stationarity, causality, stability and reversibility are investigated. A wide class of filters with rational transfer functions is indicated, which is subject to the main results of the work.
Keywords: discrete time filter, discrete time system, Markov–Stieltjes type function, system function, transfer function, impulse response, frequency response.
Funding agency Grant number
Ministry of Education of the Republic of Belarus 20180641
Государственная программа научных исследований Республики Беларусь 20160825
Received: 20.06.2019
Revised: 20.06.2019
Accepted: 18.12.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 6, Pages 29–39
DOI: https://doi.org/10.3103/S1066369X20060067
Bibliographic databases:
Document Type: Article
UDC: 621.391:517
Language: Russian
Citation: A. R. Mirotin, I. S. Kovaleva, “Discrete-time systems with frequency response of the Markov–Stieltjes type”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 6, 36–47; Russian Math. (Iz. VUZ), 64:6 (2020), 29–39
Citation in format AMSBIB
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\pages 36--47
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\issue 6
\pages 29--39
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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