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Wave parameters and functions in wavelet analysis

机译:小波分析中的波参数和函数

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摘要

A preliminary study of wave parameters and functions in wavelet analysis is conducted in this paper. The Morlet wavelet transform is used to calculate the time-frequency wavelet energy density function, its volume (i.e. the total energy), its frequency-integral (i.e. the wavelet smoothed instantaneous wave energy history), its time-integral (i.e. the wavelet spectral density function), and two non-dimensional wave indices (NIF, NIT). The processing of the measured wave data obtained from the Chi-Gu coastal observation tower during the period August 2000 to July 2001 indicates that the inter-comparison of wavelet smoothed instantaneous wave energy history and smoothed instantaneous wave energy history (SIWEH) as defined by Funke and Mansard (Proc 17th Int Conf on Ocean Eng, 1980) can reveal the noise structure of the wave signal. The wave data with index NIF greater than 2 is always accompanied with noise, therefore NIF can be used as one of the data quality criteria. The index NIT is linearly correlated with the significant wave period and with the significant wave height, therefore NIT can be used to study the wave growth and decaying phenomena.
机译:本文对小波分析中的波参数和函数进行了初步研究。 Morlet小波变换用于计算时频小波能量密度函数,其体积(即总能量),其频率积分(即小波平滑的瞬时波能量历史),其时间积分(即小波频谱)密度函数)和两个无量纲的波指数(NIF,NIT)。对从2000年8月至2001年7月从Chi-Gu海岸观测塔获得的实测波数据进行的处理表明,Funke定义的小波平滑瞬时波能量历史和平滑瞬时波能量历史(SIWEH)之间的比较Mansard和Mansard(海洋工程学会第17届国际会议,1980年)可以揭示波信号的噪声结构。索引NIF大于2的波数据始终伴有噪声,因此NIF可以用作数据质量标准之一。指数NIT与有效波周期和有效波高呈线性相关,因此NIT可用于研究波的生长和衰减现象。

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