一种扩展的自适应小波变换算法及应用

在Claypoole自适应小波变换基础上，提出了一种扩展的自适应小波变换方法。该方法将Sweldens构造小波的内插细分多项式，由奇次扩展到正整数次，从而扩大了自适应小波消失矩的选择范围。将自适应小波变换与扩展自适应小波变换应用于信号滤波，结果表明：扩展自适应小波变换，得到了理想的滤波效果，也为应用提供了更广泛的自适应小波选择。

Algorithm and Application of An Extended Adaptive Wavelet Transform

A new extended adaptive wavelet transform method based on the Claypoole adaptive wavelet transform was proposed. The degrees of Sweldens interpolating polynomial from the odd to the positive integer were extended by the method to extend the choice of the vanishing moments of the wavelet. The extended adaptive wavelet and the adaptive wavelet were used for filtering the signal. The simulated results show that the extended adaptive wavelet transform can get ideal application effect and supply more wavelets.