Open AccessA New Approach to Estimate Directional Spreading Parameters of a Cosine-2s Model
Author(s) -
Shaosong Zhang,
Jun Zhang
Publication year - 2006
Publication title -
journal of atmospheric and oceanic technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.774
H-Index - 124
eISSN - 1520-0426
pISSN - 0739-0572
DOI - 10.1175/jtech1846.1
Subject(s) - trigonometric functions , fourier series , function (biology) , fourier transform , series (stratigraphy) , computer science , field (mathematics) , algorithm , mathematics , mathematical analysis , geology , geometry , paleontology , evolutionary biology , pure mathematics , biology
For accurate and consistent estimates of the directional spreading parameter and mean wave direction of directional seas based on a cosine-2s directional spreading model, a new approach is proposed, employing a maximum likelihood method (MLM) to estimate the directional spreading function and then the angular Fourier coefficients. Because an MLM is more tolerant of errors in the estimated cross-spectrum than a directional Fourier transfer used in the conventional approach, the proposed approach is able to estimate the directional spreading parameter more accurately and consistently, which is examined and confirmed by applying the proposed approach and conventional approach, respectively, to the time series generated by numerical simulation and recorded in field measurements.