Optimal Smoothing of the Wave Spectrum Using HeMOSU-1 Data

Abstract

An optimal model based on water surface elevation can be regarded as an optimal smoothing model, which estimates the optimal range of smoothing and can be considered a corresponding model. The optimal model is a process that classifies observation data either into a structure that can be statistically analyzed or into signal and noise components that can be given meaning, and the signal component becomes the optimal estimation model. In general, wave spectrum analysis is performed through water surface elevation data. In this study, the error generated during the process of smoothing the estimated spectrum is minimized by using a statistical estimation method that tracks the optimal bandwidth. For optimal smoothing, spectral data estimated through WaveGuide, a wave observation HeMOSU-1 device installed in Wido-Anmado, Southwest Korea were used. To optimize the estimated spectrum, the optimal bandwidth was estimated through the ‘locpoly’ function in the ‘KernSmooth’ package included in the R data analysis program, and the optimal smoothing with other functions was compared and analyzed. As a result of the analysis, the optimal bandwidth of the southwestern sea area, which was the analysis point, was estimated to be 0.021 ± 10%, and it was confirmed that the optimal bandwidth had a negative correlation with the wave height.