小波变换在风浪研究中的应用

基于小波理论,将实测波高与压力资料减去平均值作为修正后的资料,经小波变换所得系数再将它平方,可以得出能量密度在时间域和频率域上的三维分布特性。将三维分布图对时间积分后,再除以总延时,可以得到波浪与压力在频率上的平均能量,即传统傅立叶变换所得之波谱,对时间积分,可得各瞬间波浪与压力总能量。通过应用认为小波分析在波浪研究上有广阔的应用前景。

Application of wavelet transform in wind wave study

Based on the wavelet theory,the modified data by subtracting the average from the measured wave height and wave pressure information was obtained.Then the coefficients acquired from wavelet transform were squared to conclude the three-dimensional distribution characteristics of the energy density in the time domain and frequency domain.The average energy of wave and pressure in frequency was obtained by integration of the threedimension on time and then dividing by the total delay.That is,the instantaneous total energy can be obtained by integration of the traditional Fourier transform spectrum on time.Through studies, it is considered that the wavelet theory has broad application prospects in the wave researching.