平稳小波变换在探地雷达资料降噪中的应用  

Stationary Wavelet Transform and Its Application to Noise Reduction in Ground Penetrating Radar

作　　者：张剑[1] 师学明[1] 刘梦花[1] 

机构地区：[1]中国地质大学地球物理与空间信息学院,武汉430074

出　　处：《工程地球物理学报》2008年第5期590-595,共6页Chinese Journal of Engineering Geophysics

基　　金：湖北省杰出青年基金项目(2007ABB037);国家自然科学基金项目(40204007);CNPC创新基金(2002f70112)资助

摘　　要：小波变换方法是一种新的数学方法,具有强大的时频分析能力,广泛地应用到信号处理的各个领域。其中正交小波变换不具备线性相位、不具有平移不变性等特性,导致其在信号降噪领域仍存在很多问题,会使信号产生振荡现象。本文利用平稳小波变换对多组探地雷达模型实验与实际雷达资料的处理,说明该方法较好地保留了信号边缘细节,避免了伪Gibbs现象,其降噪效果明显优于普通正交小波方法的降噪效果。The wavelet transform is a new mathematical method which has a strong ability to analyse time-frequency. It＇s widely applied to various fields of signal processing. Orthogonal wavelet transform is not possessed with linear phase or translation invariant features, so there are still many problems in the field of signal noise reduction, such as signal oscillation phenomenon. In this paper, we applied stationary wavelet transform to some ground penetrating radar models and the filed radar data. The results show that this method retains the edge of the signal details and avoids the phenomenon of pseudo-Gibbs. Noise reduction effect of stationary wavelet transform is superior to ordinary orthogonal wavelet method.

关 键 词：平稳小波变换 正交小波变换 探地雷达 Gibbs现象 阈值降噪 

分 类 号：P631[天文地球—地质矿产勘探]