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Mirotin, A. R.; Kobalëva, I. S.

The Markov-Stieltjes transform of measures and discrete time systems. (Russian. English summary) Zbl 1464.94013

Probl. Fiz. Mat. Tekh. 2019, No. 1(38), 56-60 (2019).
Summary: A class of discrete time filters (systems) with frequency characteristics that are functions of Markov-Stieltjes type is considered. The description of these filters in terms of their system functions and impulse responses is announced. In particular, it is noted that this class contains all filters with completely monotonic impulse responses. The properties of stationarity, causality, stability and reversibility of the corresponding systems are described.

Cited in 1 Document

MSC:

94A12 Signal theory (characterization, reconstruction, filtering, etc.)
93E11 Filtering in stochastic control theory
44A15 Special integral transforms (Legendre, Hilbert, etc.)

Keywords:

Markov-Stieltjes transform; filter; frequency characteristic; system function; stationary state; causality; stable system; invertible system
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Full Text: MNR

References:

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