| 摘要: |
| 针对目前国内对于二阶谱的研究及应用尚不普遍的状况,在参考国外文献以及我们已完成的有关研究基础上,系统地阐述了实过程的二阶谱、交叉二阶谱与矢量过程的旋转二阶谱、旋转交叉二阶谱的定义与概念,重点讨论了实过程二阶谱的有关性质。 |
| 关键词: 二阶谱 交叉二阶谱 旋转二阶谱 旋转交叉二阶谱 |
| DOI： |
| 分类号: |
| 基金项目:国家自然科学基金,49070254号 |
附件 |
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| BISPECTRAL THEORY AND ITS APPLICATION TO SEA WAVES I. CHARACTERISTICS OF BISPECTRA |
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Yu Zhouwen1, Ding Pingxing2, Sun Fu3
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1.National Research Center for Marine Environment Forecasts, Beijing 100081;2.Institute of Estuarine and Coastal Research, East China Normal University, Shanghai 200062;3.Laboratory of Physical Oceanography, Ocean University of Qingdo 266003
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| Abstract: |
| Most pyhsical processes in the ocean are non-Gaussian in nature, and the classical spectral analysis fails to distinguish any deviations of the processes from normality, and to discern phase relations among component waves due to nonlinear wave-wave interaction. Higher order spectral analysis is needed to address these problems. The bispectra, defined as the Fourier transforms of the third order cumulants or moments, have been shown to be very useful tools in the study of nonlinear characteristics of random processes.
The definitions and concepts of bispectra and cross bispectra for random scalar processes and of rotary bispectra and rotary cross bispectra for random vector processes are systematically reviewed to better understanding of the theory of bispectra and its application to related areas. In addition, the properties of bispectra are especially discussed. |
| Key words: Bispectra, Cross bispectra, Rotary bispectra, Rotary cross bispectra |
