基于双树复小波的重叠块阈值降噪方法

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (10) : 162-166.

论文

基于双树复小波的重叠块阈值降噪方法

吴定海张培林杨望灿齐蕴光

作者信息 +

Research on Overlappling Group thresholding denoising method based on Dual-tree complex wavelet packet transform

WU-Dinghai Zhang-Peilin Yang-wangcan Qi-Yunguang

Author information +

文章历史 +

摘要

针对机械早期故障信号受到强背景噪声影响导致故障特征不明显的问题，提出一种基于双树复小波包的重叠块阈值降噪方法。利用有限冗余双树复小波包变换对信号进行具有平移不变性的稀疏分解，结合双树复小波包变换系数所具有的稀疏集簇和邻域相关性特点，建立重叠块阈值估计模型，通过最小化包含块稀疏模型的适应度函数获得估计信号，分析了重叠块阈值降噪各参数对降噪效果的影响和参数优化原则，仿真与实测信号实验结果表明，本文方法在不同信号和不同噪声水平下均有效地抑制了噪声干扰，提高了信噪比。

Abstract

In order to solve the problem that the early mechanical fault characteristics were not obvious affected by the strong background noise, an overlappling group thresholding denoising method based on dual-tree complex wavelet packet transform was proposed. The signal was sparse decomposed based on dual-tree complex wavelet packet which has the characteristic of shift-invariant and limited redundancy. The overlappling group thresholding denoising method based on dual-tree complex wavelet packet transform was builded which captured the neighborhood correlation and large-amplitude coefficients form clusters. The denoised model was based on the minimization of a convex cost function incorporating a mixed norm. Then parameters select optimization of the denoised model were analysised. Simulation and experimental results show that the effects of noise reduction were all satisfactory for different signals with different level of noise by this method, the background noise was restrained effectively and the signal noise ratio was well improved.

导出引用

吴定海张培林杨望灿齐蕴光 . 基于双树复小波的重叠块阈值降噪方法[J]. 振动与冲击, 2016, 35(10): 162-166

WU-Dinghai Zhang-Peilin Yang-wangcan Qi-Yunguang . Research on Overlappling Group thresholding denoising method based on Dual-tree complex wavelet packet transform[J]. Journal of Vibration and Shock, 2016, 35(10): 162-166

参考文献

[1] 陈彬强, 张周锁, 何正嘉. 双密度双树复小波变换及其在机械故障微弱特征提取中的应用[J]. 机械工程学报, 2012, 48 (9): 57-63.
   CHEN Bin-qiang, ZHANG Zhou-suo, HE Zheng-jia. Enhancement of Weak Feature Extraction in Mechinery Fault Diagnosis by Using Double Density Dual Tree Complex Wavelet Transform[J]. Journal of Mechanical Engineering, 2012, 48 (9): 57-63.
[2] 孙海亮, 訾艳阳, 袁静等. 非抽样多小波和Hilbert-Huang时频分析在行星减速器早期故障诊断中的应用[J]. 机械工程学报, 2013, 49 (2): 56-63.
   SUN Hai-liang, ZI Yan-yang, YUAN Jing, et al. Undecimated Multiwavelet and Hilbert-Huang Time-frequency Analysis and Its Application in the Incipient Fault Diagnosis of Planetary Gearboxes[J]. Journal of Mechanical Engineering, 2013, 49 (2): 56-63.
[3] Po-Yu Chen, Ivan W. Selesnick. Translation-Invariant Shrinkage/Thresholding of Goup Sparse Signals[J]. Signal Processing, 2014, 94: 476-489.
[4] Jinglong Chen, Yanyang Zi, Zhengjia He, et al. Adaptive redundant multiwavelet denoising with improved neighboring coefficients for gearbox fault detection[J]. Mechanical Systems and Signal Processing, 2013, (38): 549–568.
[5] Xiaodong Wang, Yanyang Zi, Zhengjia He. Multiwavelet denoising with improved neighboring coefficients for application on rolling bearing fault diagnosis[J]. Mechanical Systems and Signal Processing, 2011, 25: 285-304.
[6] Adriaan Barri, Ann Dooms, Peter Schelkens. The near shift-invariance of the dual-tree complex wavelet transform revisited[J]. Journal of Mathematical Analysis and Applications, 2012, (389): 1303-1314.
[7] 吴定海, 张培林, 任国全等. 基于双树复小波包的发动机振动信号特征提取研究[J]. 振动与冲击, 2010, 29 (4): 160-165.
   WU Ding-hai, ZHANG Pei-lin, REN Guo-quan, et al. Feature extraction of an engine vibration signal based on Dual-tree wavelet package transformation[J]. Journal of Vibration and Shock, 2010, 29 (4): 160-165.
[8] 陈志新, 徐金梧, 杨德斌. 基于复小波块阈值的降噪方法及其在机械故障诊断中的应用[J]. 机械工程学报, 2007, 43(6): 200-205.
   CHEN Zhi-xin, XU Jin-wu, Yang De-bin. Denoising method of block thresholding based on DT-CWT and its application in mechanical fault diagnosis[J]. Journal of Mechanical Engineering, 2007, 43(6): 200-205.
[9] 向东阳, 吴正国, 侯新国等. 改进的多小波变换系数相关去噪算法[J]. 高电压技术, 2011, 37 (7): 1728-1733.
   XIANG Dong-yang, WU Zheng-guo, HOU Xin-guo, et al. Improved denoising method using the correlation of multiwaveleti coefficient[J]. High Voltage Engineering, 2011, 37 (7): 1728-1733.