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ISSN 2070-7401 (Print), ISSN 2411-0280 (Online)
Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa
CURRENT PROBLEMS IN REMOTE SENSING OF THE EARTH FROM SPACE

  

Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2026, V. 23, No. 1, pp. 100-108

A mapping method of Sea of Okhotsk level anomalies using optimal interpolation approach

A.A. Romanov 1 , A.A. Romanov 1 
1 Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, Russia
Accepted: 18.12.2025
DOI: 10.21046/2070-7401-2026-23-1-100-108
The task of reconstructing spatial distribution of sea level anomalies based on data from TOPEX/Poseidon (Topographic Experiment/Poseidon), Jason-1, -2, -3 satellite altimeters measuring in nadir continues to be relevant, including due to the accumulation of fairly long measurement archives that make it possible to study the circulation features in the corresponding research regions. The paper discusses some key aspects of the methodology for reconstructing spatial distributions of sea level anomalies in the Sea of Okhotsk using the optimal interpolation method. The type of correlation function constructed for use in reconstructing altimetry measurements at the nodes of a regular grid is presented. The stability issues of the matrix of the system of linear equations produced during the implementation of the optimal interpolation method are discussed, given that the rank of the original matrix is less than its dimension and the condition number is significantly greater than one. The conditions under which the matrix conditionality becomes sufficient to obtain a unique solution to the optimal interpolation problem are determined. Examples of processing real altimetry information are given, and the capabilities of the method to reconstruct mesoscale variability in the region are shown. Aspects of spatial distribution of the interpolation error measure are discussed. It is shown that, on average, the error measure when processing altimetry information for a selected cycle in the water area is about 0.65.
Keywords: satellite altimetry, mesoscale variability, Sea of Okhotsk, methodology, optimal interpolation
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