By using the wavelet transform (WT), we analysed part of the CTD data collected from the equatorialwestern Pacific Ocean, the results show that the temperature fine structure has selfsimilarity and may be describedwit...By using the wavelet transform (WT), we analysed part of the CTD data collected from the equatorialwestern Pacific Ocean, the results show that the temperature fine structure has selfsimilarity and may be describedwith fractal. The singularity exponents of temperature series and their probability distributions are also calculated. Theprobability distribution functions (pdfs) have nearly a universal form. The nonzero probability at negative exponentsimplies the possible existence of sigular points in the temperature profiles. When computing the averaged period of theWT,we find that the mean period of the WT of the temperature series has a power dependence on the transformscale a, i. e. , with ￣ 1 . This suggests that a simple dichomotous cascading mechanism may govern thefine-structure dynamics. In addtion, since the amplitudes of the wavelet transform is related with the strength of thetemperature fluctuations, the vertical distribution of fluctuation energy can be calculated by wavelet transform.Com-pared to the FFT spectrum, the WT spectrum is more smooth and is capable of giving more accurate spectral slopes.展开更多
文摘By using the wavelet transform (WT), we analysed part of the CTD data collected from the equatorialwestern Pacific Ocean, the results show that the temperature fine structure has selfsimilarity and may be describedwith fractal. The singularity exponents of temperature series and their probability distributions are also calculated. Theprobability distribution functions (pdfs) have nearly a universal form. The nonzero probability at negative exponentsimplies the possible existence of sigular points in the temperature profiles. When computing the averaged period of theWT,we find that the mean period of the WT of the temperature series has a power dependence on the transformscale a, i. e. , with ￣ 1 . This suggests that a simple dichomotous cascading mechanism may govern thefine-structure dynamics. In addtion, since the amplitudes of the wavelet transform is related with the strength of thetemperature fluctuations, the vertical distribution of fluctuation energy can be calculated by wavelet transform.Com-pared to the FFT spectrum, the WT spectrum is more smooth and is capable of giving more accurate spectral slopes.
