Discrete-time systems with frequency response of the Markov–Stieltjes type

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.