二次频率耦合的对角切片谱分析
|
摘要
三阶累积量对角切片谱可以识别二次相位耦合关系,抑制不存在耦合的频率成分,由于此优良的性质,对角切片谱在信号分析领域得到了广泛的应用。然而,二次相位耦合的定义要求原始信号同时满足频率耦合和相位耦合的关系,这样的信号在实际中几乎不存在,很多文献把取得较好分析效果的原因归结于对角切片谱具有识别二次相位耦合的能力,这是不严谨的。提出的二次频率耦合的概念,相比于二次相位耦合,二次频率耦合对信号的相位没有要求。通过理论推导证明了对角切片谱能够识别仅存在频率耦合关系的信号,从而提升了二次相位耦合理论的实用性。最后,通过分析具有内圈故障的滚动轴承振动信号,对提出的二次频率耦合理论进行了验证。
The diagonal slice spectrum(DSP)of third-order cumulant can detect the relationship of quadratic phase coupling(QPC)and inhibit the non-coupling frequency components.Due to this excellent property,DSP is widely utilized in signal processing.QPC requires the raw signal to satisfy frequency coupling and phase coupling relationship at the same time.However,to meet the condition of QPC is virtually impossible in practice.Many references attribute the reason of getting nice analysis results to the detection ability of DSP for QPC,but this conclusion is not rigorous.In this paper,a novel concept of quadratic frequency coupling(QFC)is proposed.Comparing with QPC,QFC does not has any requirements on the phases of a signal.The ability of using DSP to identify the signal with frequency coupling is proved according to theoretical deduction.As a consequence,the practicability of QPC theory is improved.Finally,QFC is verified by analyzing the vibration signal of a rolling element bearing with an inner race fault.
The diagonal slice spectrum(DSP)of third-order cumulant can detect the relationship of quadratic phase coupling(QPC)and inhibit the non-coupling frequency components.Due to this excellent property,DSP is widely utilized in signal processing.QPC requires the raw signal to satisfy frequency coupling and phase coupling relationship at the same time.However,to meet the condition of QPC is virtually impossible in practice.Many references attribute the reason of getting nice analysis results to the detection ability of DSP for QPC,but this conclusion is not rigorous.In this paper,a novel concept of quadratic frequency coupling(QFC)is proposed.Comparing with QPC,QFC does not has any requirements on the phases of a signal.The ability of using DSP to identify the signal with frequency coupling is proved according to theoretical deduction.As a consequence,the practicability of QPC theory is improved.Finally,QFC is verified by analyzing the vibration signal of a rolling element bearing with an inner race fault.
引文
[1]张贤达.现代信号处理[M].北京:清华大学出版社,2015.
[2]郭业才.基于高阶统计量的水下目标动态谱特征增强研究[D].西安:西北工业大学,2003.
[3]Rosa J,Lloret I,Puntonet C G,et al.Higher-order spectra measurement techniques of termite emissions.A characterization framework[J].Measurement,2008,41(1):105—118.
[4]Nikias C L,Raghuveer M R.Bispectrum estimation:a digital signal processing framework[J].Proceedings of the IEEE,1987,75(7):869—891.
[5]Chua K C,Chandran V,Acharya U R,et al.Application of higher order statistics/spectra in biomedical signals—A review[J].Medical Engineering&Physics,2010,32(7):679—689.
[6]苏文斌,温熙森,史维祥.故障诊断中非线性耦合特征提取的研究[J].西安交通大学学报,1999,33(1):88—92.SU Wenbin,WEN Xisen,SHI Weixiang.Nonlinear coupling signature extracting in fault diagnosis[J].Journal of Xi′an Jiaotong University,1999,33(1):88—92.
[7]杨江天,陈家骥,曾子平.基于高阶谱的旋转机械故障征兆提取[J].振动工程学报,2001,14(1):13—18.YANG Jiangtian,CHEN Jiaji,ZENG Ziping.Extracting fault features using higher order spectra for rotating machinery[J].Journal of Vibration Engineering,2001,14(1):13—18.
[8]张严,王树勋,李生红.二次相位耦合的1(1∕2)维谱分析[J].电子学报,1996,24(4):109—112.ZHANG Yan,WANG Shuxun,LI Shenghong.1(1∕2)dimension spectrum approach to quadratic phase coupling estimation[J].Acta Electronica Sinica,1996,24(4):109—112.
[9]Li W,Zhang G,Shi T.Gear crack early diagnosis using bispectrum diagonal slice[J].Chinese Journal of Mechanical Engineering,2003,16(2):193—196.
[10]Yan R,Yan G,Zhang W,et al.Phase coupling analysis of gastric pressure activity via wavelet packet based diagonal slice spectra[J].Computer Methods and Programs in Biomedicine,2006,83(3):198—204.
[11]张晓云.高阶统计量在水雷目标特征提取中的应用[D].哈尔滨:哈尔滨工程大学,2008.
[12]Mendel J M.Tutorial on higher-order statistics(spectra)in signal processing and system theory:theoretical results and some applications[J].Proceedings of the IEEE,1991,79(3):278—305.
[13]Nikias C L,Mendel J M.Signal processing with higher-order spectra[J].IEEE Signal Processing Magazine,1993,10(3):10—37.
[14]樊养余,陶宝祺,熊克,等.舰船噪声的1(1∕2)维谱特征提取[J].声学学报,2002,27(1):71—76.FAN Yangyu,TAO Baoqi,XIONG Ke,et al.Feature extraction of ship-radiated noise by 1(1∕2)spectrum[J].Acta Acustica,2002,27(1):71—76.
[15]Nemer E J.Speech analysis and quality enhancement using higher order cumulants[D].Ottawa:Carleton University,1999.
[16]李奕璠,刘建新,林建辉,等.基于自适应多尺度形态学分析的车轮扁疤故障诊断方法[J].交通运输工程学报,2015,15(1):58—65.LI Yifan,LIU Jianxin,LIN Jianhui,et al.Fault diagnosis method of railway vehicle with wheel flat based on self-adaptive multi-scale morphology analysis[J].Journal of Traffic and Transportation Engineering,2015,15(1):58—65.
[17]Li Y,Zuo M,Lin J,et al.Fault detection method for railway wheel flat using an adaptive multiscale morphological filter[J].Mechanical Systems and Signal Processing,2017,84:642—658.
[18]Li Y,Liang X,Zuo M.Diagonal slice spectrum assisted optimal scale morphological filter for rolling element bearing fault diagnosis[J].Mechanical Systems and Signal Processing,2017,85:146—161.
[2]郭业才.基于高阶统计量的水下目标动态谱特征增强研究[D].西安:西北工业大学,2003.
[3]Rosa J,Lloret I,Puntonet C G,et al.Higher-order spectra measurement techniques of termite emissions.A characterization framework[J].Measurement,2008,41(1):105—118.
[4]Nikias C L,Raghuveer M R.Bispectrum estimation:a digital signal processing framework[J].Proceedings of the IEEE,1987,75(7):869—891.
[5]Chua K C,Chandran V,Acharya U R,et al.Application of higher order statistics/spectra in biomedical signals—A review[J].Medical Engineering&Physics,2010,32(7):679—689.
[6]苏文斌,温熙森,史维祥.故障诊断中非线性耦合特征提取的研究[J].西安交通大学学报,1999,33(1):88—92.SU Wenbin,WEN Xisen,SHI Weixiang.Nonlinear coupling signature extracting in fault diagnosis[J].Journal of Xi′an Jiaotong University,1999,33(1):88—92.
[7]杨江天,陈家骥,曾子平.基于高阶谱的旋转机械故障征兆提取[J].振动工程学报,2001,14(1):13—18.YANG Jiangtian,CHEN Jiaji,ZENG Ziping.Extracting fault features using higher order spectra for rotating machinery[J].Journal of Vibration Engineering,2001,14(1):13—18.
[8]张严,王树勋,李生红.二次相位耦合的1(1∕2)维谱分析[J].电子学报,1996,24(4):109—112.ZHANG Yan,WANG Shuxun,LI Shenghong.1(1∕2)dimension spectrum approach to quadratic phase coupling estimation[J].Acta Electronica Sinica,1996,24(4):109—112.
[9]Li W,Zhang G,Shi T.Gear crack early diagnosis using bispectrum diagonal slice[J].Chinese Journal of Mechanical Engineering,2003,16(2):193—196.
[10]Yan R,Yan G,Zhang W,et al.Phase coupling analysis of gastric pressure activity via wavelet packet based diagonal slice spectra[J].Computer Methods and Programs in Biomedicine,2006,83(3):198—204.
[11]张晓云.高阶统计量在水雷目标特征提取中的应用[D].哈尔滨:哈尔滨工程大学,2008.
[12]Mendel J M.Tutorial on higher-order statistics(spectra)in signal processing and system theory:theoretical results and some applications[J].Proceedings of the IEEE,1991,79(3):278—305.
[13]Nikias C L,Mendel J M.Signal processing with higher-order spectra[J].IEEE Signal Processing Magazine,1993,10(3):10—37.
[14]樊养余,陶宝祺,熊克,等.舰船噪声的1(1∕2)维谱特征提取[J].声学学报,2002,27(1):71—76.FAN Yangyu,TAO Baoqi,XIONG Ke,et al.Feature extraction of ship-radiated noise by 1(1∕2)spectrum[J].Acta Acustica,2002,27(1):71—76.
[15]Nemer E J.Speech analysis and quality enhancement using higher order cumulants[D].Ottawa:Carleton University,1999.
[16]李奕璠,刘建新,林建辉,等.基于自适应多尺度形态学分析的车轮扁疤故障诊断方法[J].交通运输工程学报,2015,15(1):58—65.LI Yifan,LIU Jianxin,LIN Jianhui,et al.Fault diagnosis method of railway vehicle with wheel flat based on self-adaptive multi-scale morphology analysis[J].Journal of Traffic and Transportation Engineering,2015,15(1):58—65.
[17]Li Y,Zuo M,Lin J,et al.Fault detection method for railway wheel flat using an adaptive multiscale morphological filter[J].Mechanical Systems and Signal Processing,2017,84:642—658.
[18]Li Y,Liang X,Zuo M.Diagonal slice spectrum assisted optimal scale morphological filter for rolling element bearing fault diagnosis[J].Mechanical Systems and Signal Processing,2017,85:146—161.
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |