Uncertainty of the sea state parameters resulting from the methods of spectral estimation

Modelling of multipeaked directional wave spectra

“…p directly from the spectrum with rather high precision, but for multi-peaked spectra with some smoothed peaks, the results of the partitioning and peak isolation by an explicit method, can be unrealistic and even incorrect (see [31]). For this purpose, the fully implicit technique is used, where all the parameters of Eq.…”

Regional Frequency Analysis of Extreme Wave Heights: Trading Space for Time

“…The use of the spectral estimator 4 0 m in which m 0 is the 0 th order spectral moment S f df ( ) 0 ∞ z appears to be a robust estimator, in the sense that it does not differ much with the choice of the estimation method of S(f). Three different spectral estimation methods, Blackman-Tukey, Fast Fourier Transform and Maximum Entropy give very similar estimation results (Rodriguez et al, 1999). Wave height distributions on long term scales (years) have been intensively investigated by numerous authors.…”

“…Green (1994) adapted the Rayleigh distribution to take account for wave breaking in shallow waters. Rodriguez et al (1999) study the uncertainty of various sea state parameters, under which the significant wave height, resulting from the methods of spectral estimation. The use of the spectral estimator 4 0 m in which m 0 is the 0 th order spectral moment S f df ( ) 0 ∞ z appears to be a robust estimator, in the sense that it does not differ much with the choice of the estimation method of S(f).…”

Statistics of waves with different steepness simulated in a wave basin

“…Viscous dissipation and its consequences in this type of experiments are elaborated further in Kit and Shemer (1989), Shemer et al (2007) and Fedele et al (2010). Clearly, it largely affects the high-frequency tail in a manner that is different from what has been observed in the spectral estimates of oceanic measurements (Prevosto et al, 1996;Rodriguez et al, 1999b), notwithstanding the uncertainties inherent in the spectral estimation process (Rodriguez et al, 1999a;Rodriguez and Guedes Soares, 1999).…”