摘要
针对传统小波去噪算法存在的时频分辨率低、去噪效果不佳等问题,提出基于小波标架算法的非平稳信号去噪方法.首先,对含噪非平稳信号采样并计算Hilbert矩阵对应的对偶标架,然后以对偶标架作为小波基,对含噪非平稳信号进行小波分解与重构.ricker子波合成非平稳信号的去噪实验表明:该算法能有效去除非平稳信号中混入的随机噪声.与传统小波变化算法对比,该算法的误差更小,去噪效果更好.
We propose a non-stationary signal denoising method based on wavelet frame algorithm,to address the problems of low time-frequency resolution and poor denoising effect in traditional wavelet denoising algorithm.Firstly,the noisy non-stationary signal is sampled.Then,the dual frame corresponding to Hilbert matrix is calculated.Finally,the noisy non-stationary signal is decomposed and reconstructed,which uses the dual frame as wavelet basis.Experiments on non-stationary signals,which are compounded by Ricker wavelet,demonstrate that the proposed algorithm can effectively remove the random noise mixed in non-stationary signal.Comparing with the traditional wavelet algorithm,it is shown that the error is lower and the denoising effect is better.
作者
孙婷婷
单巍
SUN Tingting;SHAN Wei(Department of Computer Science,Huaibei Vocational and Technical College;College of Physics and Electronic Information,Huaibei Normal University,235000,Huaibei,Anhui,PRC)
出处
《曲阜师范大学学报（自然科学版）》
CAS
2020年第1期77-81,共5页
Journal of Qufu Normal University(Natural Science)
基金
安徽省质量工程项目(2015zy094)
安徽省大学生创客实验室项目(2016ckjh182)
关键词
计算机仿真
非平稳信号
小波变换
标架
去噪
computer simulation
non-stationary signal
wavelet transform
frame
denoising
