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关联维数是描述非线性时间序列的重要参数.在仿真计算的基础上,发现小尺度的小波变换模数的关联维数与非线性时间序列本身是一致的.同时仿真计算还表明,由于小尺度小波变换的高通滤波性质,利用小波变换模数计算关联维数可有效克服极强的大尺度噪声的干扰.针对氢气射流轴向脉动速度的计算结果也证实了有关结论.
The correlation dimension is an important parameter to describe the nonlinear time series.Based on the simulation calculation, it is found that the correlation dimension of the wavelet transform modulus is consistent with the nonlinear time series itself.At the same time, the simulation calculation also shows that due to the small The high-pass filtering property of scale wavelet transform can effectively overcome the strong large-scale noise interference by calculating the correlation dimension by using the modulus of wavelet transform. The calculation results of the axial pulsation velocity of hydrogen jet also confirm the relevant conclusions.