Abstract
This paper discusses the methodology of conceptual design of the airborne radar with antenna aperture synthesis (AAS) in the framework of mathematical technology paradigm, focusing on physical, rather than phenomenological models. The performance criterions of design for AAS as a whole system and for its subsystems have been introduced. Approximation of specific effective echoing areas (SEES) matrix on remote sensing data by means of two-dimensional atomic interpolants, two-dimensional atomic Kravchenko wavelets and two-dimensional generalized Kotelnikov theorem with vector parametric atomic functions is considered. The theory of growing interfaces and the classical problem on plane electromagnetic wave diffraction on a wedge was used to build accurately solved models of electrodynamic properties of underlying surfaces in cold regions of the Earth.
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