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Analysis of wave groups by wave envelope-phase and the Hilbert Huang transform methods
Institution:1. College of Harbor Coastal and Offshore Engineering, Hohai University, Nanjing 210098, China;2. Civil and Coastal Engineering Department, University of Florida, Florida, FL 32611, USA;1. Department of Electronics and Information Engineering, University of Sichuan, Chengdu 610064, PR China;2. Institute of Fluid Physics, CAEP, P. O. Box 919 - 113, Mianyang 621900, PR China
Abstract:The wave groups are studied by both conventional wave analysis methods and by the non-stationary Hilbert Huang Transform (HHT) method. Full-scale wave records containing abnormal waves are used. Instantaneous quantities, such as envelope, phase and frequency, are adopted to study the wave grouping. A refined definition of wave group is proposed considering that the wave process is simultaneously amplitude and frequency modulated. The validation of the proposed definition is conducted by analysis of numerical simulation data. Group parameters are proposed based on the time-frequency distribution of energy. An attempt is made to find the relationship between the characteristics of abnormal waves and the group characteristics.
Keywords:Wave groups  Hilbert-Huang Transform  Abnormal waves  Instantaneous frequency  Instantaneous energy  Frequency modulation
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