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
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/}
}
TY - JOUR AU - A. R. Mirotin AU - I. S. Kovaleva TI - Discrete-time systems with frequency response of the Markov--Stieltjes type JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2020 SP - 36 EP - 47 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2020_6_a5/ LA - ru ID - IVM_2020_6_a5 ER -
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/