基于匹配追踪的特征频率提取算法及其应用

李振,李伟光,陈辉,林鑫

振动与冲击 ›› 2019, Vol. 38 ›› Issue (19) : 7-13.

PDF(1610 KB)
PDF(1610 KB)
振动与冲击 ›› 2019, Vol. 38 ›› Issue (19) : 7-13.
论文

基于匹配追踪的特征频率提取算法及其应用

  • 李振,李伟光,陈辉,林鑫
作者信息 +

Feature frequency extraction algorithm based on MP and its application

  • LI Zhen, LI Weiguang, CHEN Hui, LIN Xin
Author information +
文章历史 +

摘要

针对大型转子试验台轴心轨迹提纯的问题,提出了采用匹配追踪(Matching Pursuit,MP)算法提取特征频率合成轴心轨迹的新方法。算法中信号的稀疏分解采用MP算法实现,字典集由正弦波模型构建,通过对正弦波的伸缩、平移构造过完备字典库。该算法可实现对单个或多个特征频率的提取。将此方法应用于大型转子系统轴心轨迹的提纯上,并与主成分分析法、谐波小波算法和小波包算法的处理效果进行了比较。结果表明,采用匹配追踪算法提纯的轴心轨迹更为清晰。

Abstract

Aiming at the problem of purifying axis orbit of a large rotor system test rig, a new method for extracting feature frequency and synthesizing axis orbit was proposed based on the matching pursuit (MP) algorithm. Sparse decomposition of signals in the method was realized with MP algorithm. The dictionary set was constructed using the sine wave model, and an over-complete dictionary library was constructed by stretching and translating sinusoidal waves. Extracting single feature frequency or multiple ones was realized with this method. This method was applied to purify axis orbit of a large rotor system, and the results were compared with those using PCA algorithm, the harmonic wavelet one and the wavelet packet one, respectively. Results showed that axis orbits purified with MP algorithm are much clearer.

关键词

故障诊断 / 轴心轨迹 / MP / 特征提取 / 信号分析

Key words

fault diagnosis / axis orbit / MP / feature extraction / signal analysis

引用本文

导出引用
李振,李伟光,陈辉,林鑫. 基于匹配追踪的特征频率提取算法及其应用[J]. 振动与冲击, 2019, 38(19): 7-13
LI Zhen, LI Weiguang, CHEN Hui, LIN Xin. Feature frequency extraction algorithm based on MP and its application[J]. Journal of Vibration and Shock, 2019, 38(19): 7-13

参考文献

[1] 张文斌, 周晓军, 杨先勇, 等. 基于谐波窗方法的转子轴心轨迹提纯[J]. 振动与冲击, 2009, 28(8): 74-77.
ZHANG Wen-bin, ZHOU Xiao-jun, YANG Xian-yong, et al. Purification of axis trace based on haramonic window method [J]. Journal of Vibration and Shock, 2009, 28(8): 74-77.
[2] Yang W, Tavner P J. Empirical mode decomposition, an adaptive approach for interpreting shaft vibratory signals of large rotating machinery [J]. Journal of Sound and Vibration, 2009, 321(3–5):1144-1170.
[3] Wu F, Qu L. An improved method for restraining the end effect in empirical mode decomposition and its applications to the fault diagnosis of large rotating machinery [J]. Journal of Sound & Vibration, 2008, 314(3-5):586-602.
[4] 张文斌, 周晓军, 林勇, 等. 采用谐波窗方法提纯碰摩转子轴心轨迹[J]. 振动、测试与诊断, 2010, 30(01): 87-90.
ZHANG Wen-bin, ZHOU Xiao-jun, LIN Yong et al. refinement of rotor center's orbit by a harmonic window method [J]. Journal of Vibration, Measurement and Diagnosis, 2010, 30(01): 87-90.
[5] Kougioumtzoglou I A, Spanos P D. An identification approach for linear and nonlinear time-variant structural systems via harmonic wavelets [J]. Mechanical Systems and Signal Processing, 2013, 37(1): 338-352.
[6] 杨建国, 夏松波, 刘永光, 等. 小波降噪在轴心轨迹特征提取中的应用[J]. 哈尔滨工业大学学报, 1999, 31(05): 52-54.
YANG Jian-guo, XIA Song-bo, LIU Yong-guang, et al. Wavelet denoising and its appilcaiton in extraction of shaft center orbit features [J]. Journal of Harbin Institute of Technology, 1999, 31(05): 52-54.
[7] 陈仁祥, 汤宝平, 吕中亮. EEMD滤波的转子轴心轨迹提纯方法[J]. 重庆大学学报, 2012, 35(11): 15-20.
CHEN Ren-xiang, TANG Bao-ping, LǛ Zhong-liang. A method of rotor orbit purification based on ensemble empirical mode decomposition filter [J]. Journal of Chongqing University, 2012, 35(11): 15-20.
[8] 刘维国. 基于奇异值分解的轴心轨迹提纯方法研究[J]. 声学技术, 2016, 5(35): 30-35.
LIU Wei-guo. Research on method of purification of shaft orbit based on singular value decomposition [J]. Technical Acoustics, 2016, 5(35): 30-35.
[9] 李伟光, 李振. 一种基于PCA的特征频率提取方法:中国, 201711169833.0[P], 2017-12-15.
[10] 余发军, 周凤星, 严保康. 基于字典学习的轴承早期故障稀疏特征提取[J]. 振动与冲击, 2016, 35(6): 181-186.
YU Fa-jun, ZHOU Feng-xing, YAN Bao-kang. Bearing
initial fault feature extraction via sparse representation
based on dictionary learning [J]. Journal of Vibration and Shock, 2016, 35(6): 181-186.
[11] 朱会杰, 王新晴, 芮挺等. 基于正交匹配追踪的强脉冲电磁干扰滤波新方法[J]. 振动与冲击, 2015, 34(15): 33-37.
ZHU Hui-jie, WANG Xin-qing, RUI Ting, et al. A new denoising method for strong pulse electromagnetic interference signals based on orthogonal matching pursuit [J]. Journal of Vibration and Shock, 2015, 34(15): 33-37.
[12] 尹忠科, 邵君, Pierre Vandergheynst. 利用FFT实现基于MP的信号稀疏分解[J]. 电子与信息学报, 2006, 28(04): 614-618.
YI Zhong-ke, SHAO Jun, PIERRE Vandergheynst. MP based Signal sparse decomposition with FFT [J]. Journal of Electrical and Information Technology, 2006(04): 614-618.
[13] 严保康,周凤星,张瑞华. 基于稀疏分解的轴承双冲击特征提取[J]. 振动.测试与诊断,2016,36(02):301-308+402.
YAN Bao-kang, ZHOU Feng-xin, ZHANG Rui-hua. Extraction of Twin Impulses Based on Sparse Decomposition [J]. Journal of Vibration, Measurement & Diagnosis, 2016, 36(02): 301-308+402.
[14] 林娟,赵治栋,孙淑强. 基于稀疏编码的手指心电信号身份识别算法[J]. 传感器与微系统,2017,36(02):142-145.
LIN Juan, ZHAO Zhi-dong, SUN Shu-qiang. Algorithm for finger-ECG signal identity recognition based on sparse coding [J]. Transducer and Microsystem Technologies, 2017, 36(02):142-145.
[15] 陈向民, 于德介, 罗洁思. 基于信号共振稀疏分解的包络解调方法及其在轴承故障诊断中的应用[J]. 振动工程学报, 2012, 25(6): 628-636.
CHEN Xiang-min, YU De-jie, LUO Jie-si. Envelope demodulation method based on resonance-based sparse signal decomposition and its application in roller bearing fault diagnosis [J]. Journal of Vibration Engineering, 2012, 25(6): 628-636.
[16] Mallat S G, Zhang Z. Matching pursuits with time-frequency dictionaries [J]. IEEE Transactions on signal processing, 1993, 41(12): 3397-3415.

PDF(1610 KB)

Accesses

Citation

Detail

段落导航
相关文章

/