DOI: https://doi.org/10.3103/S0735272709110065
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Information characteristics of scalar random fields, invariant with regard to group of their one-to-one transformation group

Andrey A. Popov

Abstract


We define a transformation, allowing to consider a set of spatial-temporal samples of scalar random field as a set of elements of generalized Boolean measure algebra. It is axiomatically introduced measure of information amount, defining informational relation spatial-temporal samples of scalar random field, dependently on binary operations, associating their images on generalized Boolean measure algebra. We have obtained characteristics of scalar Boolean fields, which are invariant with regard to their one-to-one transformations.


Keywords


Boolean algebra; scalar field; transformation

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References


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A. A. Popov, “Information characteristics and properties of a random signal considered as a sub algebra of a generalized algebra with a measure,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 51(11), 57 (2008) [Radioelectron. Commun. Syst. 51(11), 615 (2008)].

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