Adaptive selection of wavelet based on parametric equation

作者：Zhao, Xuezhi^*; Chen, Tongjian; Ye, Bangyan; Peng, Yonghong

来源：Chinese Journal of Mechanical Engineering, 2004, 40(11): 123-128.

DOI：10.3901/JME.2004.11.123

• Adaptive wavelet
• Daubechies wavelet
• Fitness function
• Parametric equation
• Wavelet base

The parametric representation for wavelet base is researched and wavelet base's two parametric equations including different parameters are obtained. It's pointed out that signal's adaptive wavelet decomposition can be realized through parameters being searched in parametric equation. Two fitness functions are defined to appraise wavelet bases' decomposing effect for different applying purpose. The non-linear relationship between the fitness and parameters being taken into account, an improved genetic algorithm is proposed to search parameters in wavelet parametric equation and at the same time the fitness function is used to appraise the analyzing effect of the searched wavelet base. When the fitness gets the maximum value then the optimal wavelet base can be searched. A milling force signal's adaptive wavelet decomposition is brought into effect by virtue of this algorithm and is compared with Daubechies wavelet's decomposing results. The comparing results show that adaptive wavelet can extract much more useful information from signal than Daubechies wavelet.

• 出版日期2004-11
• 单位华南理工大学