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分析海浪方向谱的扩展本征矢方法Ⅰ.方法的导出
管长龙, 文圣常, 张大错
青岛海洋大学物理海洋研究所 青岛 266003
摘要:
基于交叉谱矩阵可以按本征值划分为信号和含有噪音部分的思想，提出了一种自直接测量数据估计海浪方向谱的方法。该方法称为扩展本征矢方法（EEV），可应用于单点测量系统、仪器阵列以及由二者构成的复合阵列。现有的某些估计方法（如最大似然方法及其扩展形式等）仅是此方法的某种特例。
关键词:  海浪  方向谱  估计方法  本征矢
DOI：
分类号:
基金项目:国家自然科学基金资助项目，48970261号
AN EXTENDED EIGENVECTOR METHOD FOR ESTIMATION OF DIRECTIONAL SPECTRA OF SEA WAVESI. DERIVATION OF THE METHOD
Guan Changlong, Wen Shengchang, Zhang Dacuo
Institute of Physical Oceanography, Ocean University of Qingdao, Qingdao 266003
Abstract:
Based on the idea that the cross—spectral matrix can be partitioned into noise and signal components determined by the eigenvalues of the matrix, this new method for estimation of the directional spectra of sea waves is called extended eigenvector method (EEV) and can be applied to point, staff array and arbitrarily mixed instrument array measurements. For a mixed staff array with M wave properties, the estimated directional spectrum of sea waves from the EEV is expressed as

(For the equations please see the PDF file.)

The EEV is data adaptive and nonlinear. The maximum likelihood method (MLM) for estimating directional spectrum, the extension of the MLM (EMLM) and the eigenvector method (EV) for pitch/roll buoy data are only subsets of the EEV.
Key words:  Sea wave, Directional spectrum, Estimation method, Eigenvector
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