一种基于Haar小波的塔式分解重构算法

A pyramid decomposition and reconstruction algorithm based on haar wavelet

基于H aar小波的尺度和小波函数定义与特性,经过一系列推导得到基于H aar小波的塔式分解重构算法,并给出了图例验证算法分解和重构过程的正确性。本文给出的相关算法可对离散化的信号进行分解和重构,从而进行信号的噪音滤除和数据压缩等分析处理。

In this paper,we address a pyramid decomposition and reconstruction algorithm by a formal derivation based on the definition and characteristic of haar wavelet.Also,we present two illustrations to validate the process of decomposition and reconstruction of the algorithm.Furthermore,we show that the algorithm is able to deal with signal denoise and data compression.