Satellite altimetry is a key technology for monitoring sea level variability, yet its performance in coastal zones is limited by complex hydrodynamic processes (e.g., tidal distortion, nonlinear overtides, and strong coastal currents), land contamination, and inaccuracies in geophysical corrections. This study addresses these challenges by introducing a nonlinear, Fourier-based calibration framework for the Jason-3 and Sentinel-3A altimetry missions and by quantitatively assessing its impact on coastal tidal modeling. Unlike conventional linear or fixed-constituent harmonic approaches, the proposed method adaptively identifies dominant error frequencies directly from altimetry–tide gauge differences, enabling the correction of tidal, atmospheric, and instrument-related periodic errors without prior assumptions. Results show that the Fourier model reduces the root mean square error (RMSE) between satellite-derived and tide-gauge–measured sea level heights by 39.5 % (to 0.078 m) at Karachi and 37.0 % (to 0.085 m) at Rajaei two independent validation stations. A comprehensive k-fold cross-validation across all Persian Gulf and Oman Sea tide gauges confirms the robustness and spatial generalizability of this approach, yielding mean RMSE reductions of 41.0 % for Jason-3 and 32.9 % for Sentinel-3A. Beyond improving altimetry accuracy, the calibrated data significantly enhance tidal constituent estimation (M2, S2, K1, O1), outperforming global tidal models when evaluated against independent tide gauge observations. This improvement directly strengthens coastal applications such as high-resolution hydrodynamic forecasting, port and harbor design, and flood risk assessment. By integrating satellite and in-situ measurements within a nonlinear spectral framework, this study establishes a scalable and transferable approach for regional satellite-based sea level monitoring, offering practical value for coastal zone management and climate adaptation in semi-enclosed and dynamically complex marine environments.
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