The monograph is devoted to research and development of methods for analysis of physical
systems based on theories of R-and atomic functions, WA-systems of functions, the …

Using the concept of the search for the optimal signal parameter estimates and related to
them parameters of electromagnetic and regression models of scattering and radio-thermal …

Review of both classical and rarely used methods for synthesis of digital and analogue
frequency-selective filters is presented. For continuous filters, different transfer functions are …

Synthetic aperture radar (SAR) is a widely used technique suited for real-time and all-
weather imaging of natural surfaces and artificial objects. To improve image resolution and …

In this paper, we present a new Monte-Carlo methodology referred to as Adaptive Fup
Monte-Carlo Method (AFMCM) based on compactly supported Fup basis functions and a …

A review of modern optimal and quasi-optimal algorithms for radiometric signal processing,
which provide images with a high spatial resolution is given. It is shown that the high …

This condition also holds, because the function ψ (x) is obtained by transforming the AF
spectrum, which is bounded from above by max ((ω))= 1 and rapidly decreases to zero. We …

Atomic solitons are new kind of topological solitons resembling solitary particle-wave
behaviour, with the name relevant to Rvachevs' atomic functions. Atomic String (AString) is …

For the first time, a method is considered that makes it possible to synthesize stable filters
with magnitude responses approximating the atomic functions h _ a (x). The atomic filters …

This paper explores how the theory of atomic functions (AF) evolving since 1970th and
applicable in many branches of mathematics and physics can be expanded to data science …