由信号二进小波变换极值重构信号的样条插值算法

摘要

本文通过二进小波变换极值或零交叉点可获取信号的多尺度边缘，由此得到信号的绝大部分信息。本文提出了用样条插值重构算法来实现由信号二进小波变换极值点重构原始信号。数值仿真实验显示了该算法的高效性和令人满意的重构效果，与已有的算法相比，该算法原理更简单、更直接，实现更方便，速度更快。%Multiscale edges of a signal can be detected by using extrema or zero-crosings of dyadic wavelet transform. A reconstruction algorithm by cubic spline function interpolation, which is used to recover a signal from its dyadic wavelet transform extrema is proposed in this paper. Numerous experiments demonstrate its satisfying properties. Compared with previous algorithms it is simpler, more straightforward and faster.