应用于分段连续信号的基于提升格式的双自适应小波变换

由于小波具有良好的时频特性，对于平滑的信号，利用固定尺寸的小波滤波器滤波可以获得良好的线性近似结果。然而对于某些具有突变点的信号而苦，采用固定尺寸的小波滤波器进行线性滤波并不足一个理想的选择。在Piella G提出的基于提升格式的自适应小波变换算法的基础上，本文提出了一个新的双自适应小波变换算法，将其应用于分段连续信号中得到了较好的线性近似结果。

Double adaptive wavelet transforms based on lifting scheme applied on the piecewise smooth signals

Because of the better temporal and frequency properties, the wavelet linear approximation can approximate smooth signals very efficiently with the constant size filter. However, standard wavelet linear approximation techniques cannot achieve similar results for signal which are not smooth. Based on the adaptive lifting scheme with perfect reconstruction presented by Piella G, this paper proposed the new adaptive wavelet transform which can achieve the better linear approximation for the piecewise continuous signals.