Topological Texture-Fractal Processing of Signals and Fields in Radio Physics, Radio Engineering and Radiolocation: Developed Methods and Technologies (1979 – 2022) – Fractal Engineering

Abstract

The report discusses the main directions of the introduction of textures, fractals, fractional operators, dynamic chaos and methods of nonlinear dynamics to create new information (breakthrough) technologies. The research is carried out in the fundamental scientific direction "Fractal radio physics and fractal radio electronics: design of fractal radio systems", initiated and developed by the author in V. A. Kotel’nikov IREE RAS from 1979 to the present. The relevance of these studies is related to the need for a more accurate description of all real processes occurring in radio physical and radio engineering systems: taking into account the hereditarity (memory), nonGaussianity and scaling of physical signals and fields. The use of fractal systems, sensors and nodes is a fundamentally new solution that significantly changes the principles of building intelligent radio engineering systems and devices. The performed studies are priority ones in the world and serve as a basis for further development and justification of the practical application of fractal-scaling and texture methods in the synthesis of fundamentally new topological texture-fractal methods for detecting signals in the space-time channel of waves propagation with scattering (a new type of radar). The concepts of fractal engineering are introduced for the first time.