摘要
介绍了提升格式的基本原理,采用插值细分方法设计了提升格式的预测算子,根据信号变换前后消失矩保持不变的要求设计更新算子,构造了一组不同消失矩的双正交小波的尺度函数和等消失矩的小波函数。通过设计不同的预测算子和更新算子,可以得到具有不同的正则性、光滑性、消失矩等特性的小波函数,这为根据被处理信号的特征灵活地构造相应的小波函数及提高信号处理的质量和效率提供了一种简单实用的方法。
The main principle of lifting scheme was introduced. The predict algorithm of lifting scheme was designed using interpolation subdivision. The update coefficients were designed based on the constant vanishing moments of signal. A group of scaling functions of biorthogonal wavelets with different vanishing moments, and wavelet functions with the same order were constructed. The wavelet functions with various properties such as regularity, smoothness and vanishing moments can be obtained by designing different predict and update algorithms. The technique of wavelet construction may provide a simple and practical way to construct the wavelet function and improve the quality and efficiency for signal processing based on the characteristics of processed signal.
出处
《石油大学学报（自然科学版）》
EI
CSCD
北大核心
2005年第3期144-147,156,共5页
Journal of the University of Petroleum,China(Edition of Natural Science)
基金
中国石油天然气集团公司创新基金资助项目(W030501)
