Discrete-time systems with frequency response of the Markov--Stieltjes type
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2020), pp. 36-47

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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, frequency response.
Mots-clés : impulse response
@article{IVM_2020_6_a5,
     author = {A. R. Mirotin and I. S. Kovaleva},
     title = {Discrete-time systems with frequency response of the {Markov--Stieltjes} type},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {36--47},
     publisher = {mathdoc},
     number = {6},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_6_a5/}
}
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A. R. Mirotin; I. S. Kovaleva. Discrete-time systems with frequency response of the Markov--Stieltjes type. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2020), pp. 36-47. http://geodesic.mathdoc.fr/item/IVM_2020_6_a5/