Methods for representing the characteristics of radioelectronic equipment on the basis of the hyper-random phenomena theory

Authors

DOI:

https://doi.org/10.3103/S0735272710100043

Keywords:

radioelectronic equipment, optimum design, theory of similarity, functional characteristics

Abstract

The methods for representing the REE performance characteristics have been considered on the basis of the hyper-random phenomena theory. Mathematical hyper-random models of energy processes in REE were obtained on the basis of the Lagrange equations of the second kind. The forms of representing hyper-random quantities and functions were proposed, and expressions for hyper-random differential equations of the main processes in REE, including electromagnetic, electric, mechanical, and thermal processes, as well as expressions for the reliability indices were obtained. The principle was substantiated according to which any performance (and design) index of REE obtained as a result of designing would represent a set of values lying within the limits determined in accordance with the characteristics of hyper-random functions.

References

I. I. Gorban, The Theory of Hyper-Random Phenomena (IPMMS NANU, Kiev, 2007) [in Russian].

E. S. Ventsel’, The Theory of Probability, 8th ed. (Vyssh. Shkola, Moscow, 2002) [in Russian].

L. D. Landau and E. M. Lifshits, The Field Theory, 7th ed. (Nauka, Moscow, 1988) [in Russian].

V. I. Tikhonov, Statistical Radio Engineering, (Sov. Radio, Moscow, 1982) [in Russian].

A. V. Lykov, Heat-Mass Exchange: Reference Book, 2nd ed. (Energiya, Moscow, 1978) [in Russian].

V. B. Vagapov, Automation of Radioelectronic Systems, (Vyssh. Shkola, Kyiv, 1988) [in Russian].

Published

2010-10-04

Issue

Section

Research Articles