应用小波变换进行压缩中分解层次的一种确定方法

A Kind of Method to Confirm the Decomposing Level while Compressing Using Wavelet Transformation

提出用小波变换进行信号压缩时对于小波分解层次的一个择优方法。大量实验表明小波分解层次的选取直接影响到重构信号的各方面指标参数。从重构信号与原信号之间的相对误差为出发点和压缩指标,通过实验分析了分解层次与压缩效果之间的简单关系。分析结果表明,二者之间确实存在着某种函数关系,通过简化数学关系得到了分解层次的确定方法。该方法经过检验基本上能准确的反映分解层次与压缩效果的关系,是一种较为有效的分解层次确定方法。

This paper puts forward a kind of method to confirm the decomposing level while the compressing of signal using wavelet transformation. A great many of experiments demonstrate that the choose of the decomposing level has straight influence on all facets of parameter of the reconstrucfing signal. This papers analyzes the simple connection between decomposing level and compressing effect starting from the comparative error between recomtructing signal and original signal. The result of the analysis indicates that there is some function connection between them in faith. It gets the metLod to confirm the decomposing level by predigesting the math connection. It is a more effective method which can basically and exactly reflect the relationship between the decomposing level and compressing effect.