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Characteristics and properties of signals space built on generalized Boolean algebra with measure

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Abstract

The characteristics of an arbitrary pair of random processes, which are invariant with respect to the group of random process transformations, are considered. By applying an apparatus of Boolean algebra with measure to the introduced characteristics of random processes, a notion of metric signals space with axiomatic introduction of information quantity measure, which allows to estimate information ratios between random signals and their instantaneous values, is formulated.

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Authors and Affiliations

  1. National Academy of Defence, Kyiv, Ukraine

    A. A. Popov

Authors
  1. A. A. Popov
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Additional information

Original Russian Text © A.A. Popov, 2009, published in Izv. Vyssh. Uchebn. Zaved., Radioelektron., 2009, Vol. 52, No. 5, pp. 34–45.

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Popov, A.A. Characteristics and properties of signals space built on generalized Boolean algebra with measure. Radioelectron.Commun.Syst. 52, 248–255 (2009). https://doi.org/10.3103/S0735272709050045

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  • DOI: https://doi.org/10.3103/S0735272709050045

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