基于提升小波变换的信号降噪及其工程应用

为了解决炮膛检测中的噪声抑制问题，在讨论提升小波变换基本原理及其特点的基础上，采用提升小波变换的方法构造小波，介绍了基于插值细分法的提升小波，讨论了其降噪原理。通过实验对比研究了不同类型的经典提升小波和插值细分小波的降噪效果以及小波支集与降噪效果之间的关系，为选择降噪小波提供了理论依据。将该结论应用于炮膛检测系统中身管内径测量信号的降噪处理，取得了满意的效果。

Signal denoising based on lifting wavelet transform and its application

The lifting wavelet transform is employed to construct wavelet to solve the problem of noise reduction in gun bore detection,according to the theory and characteristics of the lifting wavelet transform.A SGWT algorithm which employs interpolating subdivision is described,and then its principle of denoising is discussed.The denoising effect and the relationship between wavelet support and denoising result are investigated by experiment.The conclusion of this research work gives a reference to select wavelet for signal denoising. It is shown that better that denoising effect for gun barrel radius measuring signals in detecting system of gun bore are achieved by using the proposed method.