sea_surface_swell_wave_mean_period_from_variance_spectral_density_inverse_frequency_moment

The swell wave directional spectrum can be written as a five dimensional function S(t,x,y,f,theta) where t is time, x and y are horizontal coordinates (such as longitude and latitude), f is frequency and theta is direction. S can be integrated over direction to give S1= integral(S dtheta). Frequency moments, M(n) of S1 can then be calculated as follows: M(n) = integral(S1 f^n df), where f^n is f to the power of n. The inverse wave period, T(m-1), is calculated as the ratio M(-1)/M(0).

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