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Systems concept and components of fractal radio electronics: Part I. Development stages and the state of the art

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Abstract

A systemization is performed for the results of theoretical and experimental investigations that were obtained in radio physics and radio engineering with the help of fractal theory and the mathematical theory of fractional dimension and fractional operators with consideration for the scaling effects of real radio signals and electromagnetic fields. Classification and the analysis and synthesis methods of the components of fractal radio electronics (resistive-capacitive components with distributed parameters) with prescribed frequency characteristics, as well as the fields of application of such components, are considered. It is shown that non-linear, parametric, and other properties of simulated objects can be considered with the use of vectors of electrophysical parameters of layers and design parameters. New promising design versions of components with fractal dimensions, namely, fractal impedances, which can be used in various devices of fractal radio electronics, are proposed.

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  1. A. A. Potapov
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Original Russian Text © A.A. Potapov, A.Kh. Gil’mutdinov, P.A. Ushakov, 2008, published in Radiotekhnika i Elektronika, 2008, Vol. 53, No. 9, pp. 1033–1080.

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Potapov, A.A., Gil’mutdinov, A.K. & Ushakov, P.A. Systems concept and components of fractal radio electronics: Part I. Development stages and the state of the art. J. Commun. Technol. Electron. 53, 977–1020 (2008). https://doi.org/10.1134/S1064226908090027

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