强噪声背景信号的Perona-Malik扩散滤波算法

毋文峰; 陈小虎

doi:10.13433/j.cnki.1003-8728.20180001

强噪声背景信号的Perona-Malik扩散滤波算法

doi: 10.13433/j.cnki.1003-8728.20180001

毋文峰¹,
陈小虎^2, ,

1.
中国人民武装警察部队警官学院, 成都 610213;
2.
中国人民解放军火箭军工程大学, 西安 710025

基金项目:

四川省科技计划项目（2016JY0222）与四川省教育厅科研计划项目（16ZB0559）资助

详细信息

作者简介:
毋文峰(1978-),副教授,博士,研究方向为偏微分方程理论及应用,信号处理,peakxde@163.com

通讯作者:
陈小虎,教授,博士生导师,tigerchen@hotmail.com

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出版历程
- 收稿日期: 2017-01-10
- 刊出日期: 2018-08-05

Perona-Malik Diffusion Filtering Algorithm for Mechanical Vibration Signals in Strong Noise Background

Wu Wenfeng¹,
Chen Xiaohu^{2
, ,}

1.
Officers College of PAP, Chengdu 610213, China;
2.
Rocket Force University of Engineering, Xi'an 710025, China

摘要

摘要: 为了提取强噪声背景下机械振动信号的微弱故障特征，提出利用Perona-Malik非线性各向异性扩散滤波模型来实现强噪声背景信号降噪的方法。首先阐述了偏微分方程和Perona-Malik扩散滤波模型在图像降噪中的应用；其次分析了小波变换等传统信号降噪方法的不足；最后基于图像降噪和信号降噪原理的相似性，利用Perona-Malik扩散滤波模型来实现机械振动信号的降噪，将其用于轴承振动仿真信号和实测信号。实验表明，与小波阈值去噪算法等传统信号降噪方法相比，Perona-Malik扩散滤波模型更适用于强噪声背景信号降噪，同时兼顾了信号去噪和保留信号细节特征的双重要求。
- 小波变换 /
- 偏微分方程 /
- Perona-Malik模型 /
- 信号处理 /
- 信号降噪
Abstract: The signal denoising preprocessing is very important for extracting weak fault features from mechanical vibration signals in strong noise background. However for wavelet transform (WT) and other traditional signal processing algorithms, the processing of signal denoising is a troublesome thing. The balance between signal denoising and feature preserving is a couple of contradictions. Thus we mean to bring in the Perona-Malik nonlinear anisotropy diffusion filtering model to process signal preprocessing in strong noise. Firstly, the partial differential equation (PDE) theory is introduced, and the Perona-Malik model, as one of important nonlinear anisotropy diffusion filtering algorithms, is brought in. Secondly, from the applications in image denoising, it can be analyzed and inferred that the Perona-Malik model is a perfect solution for wavelet transform and other traditional signal denoiseing algorithms. Lastly, by comparison with the wavelet threshold denoising algorithms in the bearing vibration signals, it can be indicated that the Perona-Malik model is very appropriate for mechanical vibration signals in strong noise. Above all, the Perona-Malik filter can not only realize signal denoising but also preserve signal features with better denoising performance and without signal distortions.
- wavelet transform /
- partial differential equation /
- Perona-Malik model /
- signal processing /
- signal denoising

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参考文献(14)

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