基于变采样长度相关滤波的不平衡信号提取法

摘要/Abstract

摘要：

根据相关滤波提取信号幅值和相位的原理，定义了不平衡信号的近频噪声干扰度的概念，并构建了近频噪声干扰度模型，揭示了干扰度随频率差变化的分布规律；进而提出了一种基于变采样长度相关滤波的不平衡信号提取法，在短数据情况下根据MUSIC谱确定幅值最大的近频干扰信号频率，结合近频干扰度分布规律合理选择采样长度提取不平衡信号幅值和相位。电主轴动平衡测量实验和仿真结果表明：与传统定采样长度相关滤波相比，所提方法受信噪比波动影响小,抗近频干扰能力强,在采样长度更短时提取的不平衡信号幅值和相位的方差更小。

关键词: MUSIC, 相关滤波, 动平衡, 变采样长度

Abstract:

According to the principles of correlation analysis method for extracting amplitude and phase of signals,this paper defined a concept, interference degree of noise near unbalanced signals in frequency, and established a model about interference degree, revealed its distribution law. Then the method for extraction of unbalance vibration signals was proposed based on correlation analysis in adjustable sampling length.It obtained the frequency of nearby interference signal of large amplitude from pseudo spectrum under short data acquisition time calculated by MUSIC,and reasonable sampling time length was selected based on distribution law of interference degree for extraction of unbalance signals.The results of simulation and experiments show that,compared with the traditional fixed sampling length correlation filtering method, this method obtains smaller variance of amplitude and phase under shorter sampling time, being free from signal-to-noise ratio fluctuation and nosie at the frequency near that of signal.

Key words: multiple signal classification(MUSIC), correlation analysis, dynamic balancing, adjustable sampling length

中图分类号:

TN911.7

张利, 罗轶超, 徐娟, 牛青波, 刘征宇. 基于变采样长度相关滤波的不平衡信号提取法[J]. 中国机械工程, 2015, 26(13): 1776-1782.

Zhang Li, Luo Yichao, Xu Juan, Niu Qingbo, Liu Zhengyu. Extraction of Unbalance Signals Based on Correlation Analysis in Adjustable Sampling Length[J]. China Mechanical Engineering, 2015, 26(13): 1776-1782.

参考文献

[1]Moon J D,Kim B S,Lee S H.Development of the Active Balancing Device for High-speed Spindle System Using Influence Coefficients[J].International Journal of Machine Tools & Manufacture，2006,46:978-987.
[2]Fan Hongwei,Jing Minqing,Liu Heng.Review for Studying on Active Hybrid Auto-balancer of Grinding Wheel and Motor Spindle[J].Journal of Vibration and Shock,2012,31(5):26-30.
[3]韩江洪,王景华,徐娟,等.具有误差处理功能的动平衡标定方法研究[J].仪器仪表学报,2013,34(7):1454-1461.
Han Jianghong,Wang Jinghua,Xu Juan,et al.Research on New Dynamic Balance Calibration Method with Measurement Error Processing Function[J].Chinese Journal of Scientific Instrument,2013,34(7):1454-1461.
[4]陶利民，李岳，温熙森. 基于开关电容技术的信号跟踪滤波方法及其在转子动平衡中的应用[J].中国机械工程，2007,18 (4):427-430.
Tao Limin, Li Yue, Wen Xisen. Signal Tracking Filtering Method Based on Switched-capacitor and its Applications in Dynamic Balance of Rotors[J].China Mechanical Engineering,2007,18(4):427-430.
[5]李传江,费敏锐,胡豁生,等.基于谐波小波和Prony算法的转子不平衡信号提取[J].仪器仪表学报,2012,33(11):2516-2522.
Li Chuanjiang,Fei Minrui,Hu Huosheng,et al.Extraction of Rotor Unbalance Signal Based on Harmonic Wavelet and Prony Algorithm[J]. Chinese Journal of Scientific Instrument,2012,33(11):2516-2522.
[6]杨克己,武二勇.高精度动平衡测量中自适应滤波技术应用研究[J].仪器仪表学报,2005,26(1):32-35.
Yang Keji, Wu Eryong.Research of Adaptive Filtering Technology for High Precision Dynamic Balancing Measurement[J]. Chinese Journal of Scientific Instrument,2005,26(1):32-35.
[7]徐娟,罗轶超,张利,等.在线动平衡中振动信号提取方法研究[J].电子测量与仪器学报,2012,26(11):972-976.
Xu Juan,Luo Yichao,Zhang Li,et al.Vibration Extraction Method Research for On-line Dynamic Mass Balance[J].Journal of Electronic Measurement and Instrument,2012,26(11):972-976.
[8]孙进才,朱维杰,孙轶源,等.正弦信号参数估计的最小二乘算法[J].哈尔滨工程大学学报,2005,26(1):19-23.
Sun Jincai,Zhu Weijie,Sun Yiyuan, et al. Method of Least Squares of Parameter Estimation for Sinusoidal Signals[J].Journal of Harbin Engineering University,2005,26(1):19-23.
[9]郭东亮,张铁军,戴宪华.基于信号延拓的采样信号频谱泄漏抑制[J].仪器仪表学报,2010,31(3):536-540.
Guo Dongliang,Zhang Tiejun,Dai Xianhua.Restraining Method of Frequency Spectrum Leakage of Sampled Signals Based on Signal Extension[J].Chinese Journal of Scientific Instrument,2010,31(3):536-540.
[10]高云鹏,滕召胜,卿柏元.基于Kaiser窗双谱线插值FFT的谐波分析方法[J].仪器仪表学报,2010,31(2):287-292.
Gao Yunpeng, Teng Zhaosheng, Qing Boyun. Harmonic Analysis Based on Kaiser Window Double Spectrum Line Interpolation FFT[J]. Chinese Journal of Scientific Instrument, 2010, 31(2):287-292.
[11]Barros J,Diego R I.On the Use of the Hanning Window for Harmonic Analysis in the Standard Frame-work[J]. IEEE Trans. on Power Delivery,2006,21(1):538-539.
[12]Takashi K,Masatake K,Katsuo I.Development of Recursive Interpolated D/FFT for On-line and Highly Accurate Frequency Analysis[J].IEEJ Transactions on Electrical and Electronic Engineering,2008,3(5):574-582.
[13]李传江,费敏锐,张自强.高精度动平衡测量中不平衡信号提取方法研究[J].振动与冲击,2012,31(14):124-127.
Li Chuanjiang,Fei Minrui,Zhang Ziqiang.Method of Unbalance Signal Extraction in High Precision Dynamic Balancing Measurement[J].Journal of Vibration and Shock,2012,31(14):124-127.
[14]齐伟,赵鼎鼎,蔡萍.基于MUSIC算法的动不平衡信号提取方法研究[J].仪器仪表学报,2012,33(6):1240-1246.
Qi Wei,Zhao Dingding,Cai Ping.Research on Extraction of Unbalance Vibration Signal Based on MUSIC[J].Chinese Journal of Scientific Instrument,2012,33(6):1240-1246.