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Static-Aperture Synthesis Method in Remote Sensing and Non-Destructive Testing Applications

Olha Inkarbaieva, Denys Kolesnikov, Danyil Kovalchuk, Volodymyr Pavlikov, Volodymyr Ponomaryov (), Beatriz Garcia-Salgado, Valerii Volosyuk and Semen Zhyla
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Olha Inkarbaieva: Aerospace Radio-Electronic Systems Department, National Aerospace University “Kharkiv Aviation Institute”, 61070 Kharkiv, Ukraine
Denys Kolesnikov: Aerospace Radio-Electronic Systems Department, National Aerospace University “Kharkiv Aviation Institute”, 61070 Kharkiv, Ukraine
Danyil Kovalchuk: Aerospace Radio-Electronic Systems Department, National Aerospace University “Kharkiv Aviation Institute”, 61070 Kharkiv, Ukraine
Volodymyr Pavlikov: Aerospace Radio-Electronic Systems Department, National Aerospace University “Kharkiv Aviation Institute”, 61070 Kharkiv, Ukraine
Volodymyr Ponomaryov: ESIME Culhuacan, Instituto Politecnico Nacional, Mexico City 04330, Mexico
Beatriz Garcia-Salgado: ESIME Culhuacan, Instituto Politecnico Nacional, Mexico City 04330, Mexico
Valerii Volosyuk: Aerospace Radio-Electronic Systems Department, National Aerospace University “Kharkiv Aviation Institute”, 61070 Kharkiv, Ukraine
Semen Zhyla: Aerospace Radio-Electronic Systems Department, National Aerospace University “Kharkiv Aviation Institute”, 61070 Kharkiv, Ukraine

Mathematics, 2025, vol. 13, issue 3, 1-25

Abstract: The study is dedicated to the statistical optimization of radar imaging of surfaces with the synthetic aperture radar (SAR) technique, assuming a static surface area and applying the ability to move a sensor along a nonlinear trajectory via developing a new method and validating its operability for remote sensing and non-destructive testing. The developed models address the sensing geometry for signals reflected from a surface along with the observation signal–noise equation, including correlation properties. Moreover, the optimal procedures for coherent radar imaging of surfaces with the static SAR technology are synthesized according to the maximum likelihood estimation (MLE). The features of the synthesized algorithm are the decoherence of the received oscillations, the matched filtering of the received signals, and the possibility of using continuous signal coherence. Furthermore, the developed optimal and quasi-optimal algorithms derived from the proposed MLE have been investigated. The novel framework for radio imaging has demonstrated good overall operability and efficiency during simulation modeling (using the MATLAB environment) for real sensing scenes. The developed algorithms of spatio–temporal signal processing in systems with a synthesized antenna with nonlinear carrier trajectories open a promising direction for creating new methods of high-precision radio imaging from UAVs and helicopters.

Keywords: remote sensing; non-destructive testing; SAR systems; static-aperture synthesis; coherent image; maximum likelihood estimation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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