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JOURNALS // Upravlenie Bol'shimi Sistemami // Archive

UBS, 2025 Issue 113, Pages 120–150 (Mi ubs1259)

Information Technology Applications in Control

Method of signal extrapolation on two-dimensional antenna system using deep neural network algorithms to solve the super-resolution problem

E. Ya. Rubinovicha, I. Yurchenkovb, V. Nazarkinb

a V.A. Trapeznikov Institute of Control Sciences of RAS, Moscow
b Russian Technological University, Moscow

Abstract: The article deals with methods of remote sensing of objects using digital antenna arrays (DAA). This approach allows obtaining information about objects without direct physical contact by analyzing the radiation reflected or emitted by them. The features of the formation of the directional pattern (DN) of a DAA consisting of a two-dimensional flat rectangular array of radiating elements are described. The mathematical model of the DN of an individual radiator and the system as a whole is presented taking into account the wave number, the distance between the elements and scanning angles. Special attention is paid to the limitations of the resolving power of the system due to the Rayleigh criterion and related to the linear dimensions of the antenna. In the region of small angular deviations the model components are approximated, which simplifies the calculation, but limits the possibility of distinguishing closely located sources. The problem arises of digital processing of the received signals to increase the angular resolution of the system. The article discusses methods and algorithms based on deep neural networks, aimed at overcoming these limitations and improving the quality of acquired images in remote sensing using DAA. The article demonstrates qualitative results of the proposed solution on the DAA with fixed parameters. Examples of the work of the considered algorithm are shown visually.

Keywords: angular super-resolution, convolutional neural networks, digital antenna array, Rayleigh criterion, extrapolation

UDC: 537.86
BBK: 22.18

Received: December 4, 2024
Published: January 31, 2025



© Steklov Math. Inst. of RAS, 2026