An Algorithm for Solving the Problem of Phase Unwrapping in Remote Sensing Radars and Its Implementation on Multicore Processors

Petr S. Martyshko, Elena N. Akimova (), Andrey V. Sosnovsky and Victor G. Kobernichenko
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Petr S. Martyshko: Bulashevich Institute of Geophysics, Ural Branch of RAS, Ekaterinburg, Russian Federation, Amundsena Street 100, Ekaterinburg 620016, Russia
Elena N. Akimova: Institute of Radio Electronics and Information Technology, Yeltsin Ural Federal University, Mira Street 19, Ekaterinburg 620002, Russia
Andrey V. Sosnovsky: Institute of Radio Electronics and Information Technology, Yeltsin Ural Federal University, Mira Street 19, Ekaterinburg 620002, Russia
Victor G. Kobernichenko: Institute of Radio Electronics and Information Technology, Yeltsin Ural Federal University, Mira Street 19, Ekaterinburg 620002, Russia

Mathematics, 2024, vol. 12, issue 5, 1-16

Abstract: The problem of the interferometric phase unwrapping in radar remote sensing of Earth systems is considered. Such interferograms are widely used in the problems of creating and updating maps of the relief of the Earth’s surface in geodesy, cartography, environmental monitoring, geological, hydrological and glaciological studies, and for monitoring transport communications. Modern radar systems have ultra-high spatial resolution and a wide band, which leads to the need to unwrap large interferograms from several tens of millions of elements. The implementation of calculations by these methods requires a processing time of several days. In this paper, an effective method for equalizing the inverse vortex field for phase unwrapping is proposed, which allows solving a problem with quasi-linear computational complexity depending on the interferogram size and the number of singular points on it. To implement the method, a parallel algorithm for solving the problem on a multi-core processor using OpenMP technology was developed. Numerical experiments on radar data models were carried out to investigate the effectiveness of the algorithm depending on the size of the source data, the density of singular points and the number of processor cores.

Keywords: remote sensing of the Earth; interferometric synthetic aperture radar systems; phase unwrapping problem; parallel algorithm; OpenMP technology (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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