Daubechies小波的插值方法

Some Discussions for Interpolative Functions to Daubechies Wavelets

针对Daubechies小波没有明确的解析表达式而造成应用上的不便,利用B-样条函数插值的方法逼近Daubechies小波,得到了Daubechies小波的近似表达式。该表达式是分段多项式,在求其任意点处的近似函数值、显式的解决信号处理问题、数值积分方法等方面具有较强的实用性。

In the absence of an analytical formula, Daubechies wavelets can not be utilized directly. In this paper, B-spline interpolation function was used to fit Daubechies wavelets. An analytical expression was obtained, which is a linear combination of B-spline function available in many fields, such as find the approximate value at a point, an efficient method in signal processing with explicit function, numerical integration, etc.