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Discrete-Time Systems with Frequency Response of the Markov-Stieltjes Type

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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.

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Acknowledgments

The authors thank the referee for comments and suggestions that contributed to the improvement of the presentation.

Funding

The work was performed in the framework of the State research programs of the Republic of Belarus, state registration no. 20160825. This work was supported by a grant of the Ministry of Education of the Republic of Belarus for students and graduate students, state registration no. 20180641.

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Authors and Affiliations

  1. Francisk Skaryna Gomel State University, 104 Sovetskaya str., Gomel, 246019, Republic of Belarus

    A. R. Mirotin & I. S. Kovaleva

Authors
  1. A. R. Mirotin
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  2. I. S. Kovaleva
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Corresponding authors

Correspondence to A. R. Mirotin or I. S. Kovaleva.

Additional information

Russian Text © The Author(s), 2020, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, No. 6, pp. 36–47.

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Mirotin, A.R., Kovaleva, I.S. Discrete-Time Systems with Frequency Response of the Markov-Stieltjes Type. Russ Math. 64, 29–39 (2020). https://doi.org/10.3103/S1066369X20060067

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  • DOI: https://doi.org/10.3103/S1066369X20060067

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