Vol. 6, №1, 2014
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FRACTAL RADIOPHYSICS


FRACTALS, SCALING AND FRACTIONAL OPERATORS IN PHYSICS AND RADIO ENGINEERING
Potapov A.A.
Kotel’nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, http://www.cplire.ru
11/7, Mokhovaya str., 125009 Moscow, Russian Federation
potapov@cplire.ru; www.potapov-fractal.com

Review of the numerous results that were obtained by the author using the fractal theory and the fractional measure theory by taking into account scaling effects of the real radio signals and electromagnetic fields has been presented in the paper. The investigations have been performed in the framework of fundamental science direction “Fractal radio physics and fractal radio electronics: Fractal radio systems designing” that was proposed and being developed by the author in IREE RAS since the eighties of XX.

Keywords: fractal properties of wave phenomena, fractional dimension, scaling relations, scaling relations, fractional integrodifferentiation, fractal impedances, non-Markov signals, non-Gauss interferences

UDC 530.1: 537.86+621.396.96

Bibliography – 51 references
Received 19.10.2009

RENSIT, 2009, 1(1-2):64-108

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