基于冗余第二代小波的降噪技术  

Research on Application of Redundant Second Generation Wavelet Transform in Denoising

作　　者：高立新[1] 汤文亮[1] 胥永刚[1] 殷海晨[1] 

机构地区：[1]北京工业大学机械工程与应用电子技术学院北京市先进制造技术重点实验室,北京100022

出　　处：《北京工业大学学报》2008年第12期1233-1237,共5页Journal of Beijing University of Technology

基　　金：国家自然科学基金资助项目(50705001).

摘　　要：构造了一种基于插值细分原理的冗余第二代小波变换.该方法在分解过程中不进行剖分,逼近信号和细节信号长度与原始信号长度相同,因此数据量是原信号的2倍.数据冗余性决定了该方法具有良好的分析效果.通过与传统小波变换、第二代小波变换对相同数据的对比,验证了冗余第二代小波变换的有效性.In order to improve the signal-to-noise ratio and the effectiveness of noise reduction, a redundant second generation wavelet transform based on interpolation principle was constructed. This method does not mesh in the process of decomposition, which the approximation signal and the detail signal have the same length with the original signal, so the amount of data is doubled the original signal. Data redundancy characteristics of the method has a good result of the analysis. Compared to the traditional wavelet transform and the second-generation wavelet transform, the redundancy of the second generation wavelet transform is more effective.

关 键 词：冗余第二代小波 降噪 插值细分 剖分 

分 类 号：TH17[机械工程—机械制造及自动化]