Research areas and main results on designing of the new information technologies on the basis of textures, fractals, fractional operators and dynamic chaos which were obtained by the author are presented in this work. The researches are conducted in the framework of scientific direction “Fractal radio physics and fractal radio electronics: designing of fractal radio systems”, which was initiated and is developed by the author in V. A. Kotel’nikov IREE RAS since 1979 and up to the present. Introduction of the conceptions above into the scientific usage of radio location allowed the author to propose and then to apply new dimensional and topological (not power!) signs or invariants for the first time in the world, which are united under a generalized conception “sampling topology” ~ “fractal signature”. Mathematical foundations of the new information technologies which were proposed by the author are presented in part 1.
radio physics, radio location, non-linear dynamics, fractal, texture, fractional operator, non-Markovin random process
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