用于动态测试的信号分析方法
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摘要
信号分析被广泛用于消噪、特征提取、状态识别、故障诊断等。常用的方法有参数化分析法和非参数化分析法。参数化分析方法有ARMA模型、分形维数计算及用于判别微弱信号存在性的混沌分析法等 ;非参数化方法即谱分析方法 ,包括传统的DFT谱方法及在此基础上的提高频率分辨能力 (如AR功率谱 )和时频联合分析 (小波分解、Wigner谱 )等内容。文中对各种方法的原理、特点作了综述 ,并结合实例说明了它们的应用
Signal processing algorithms have been broadly used for cancelling noise, extracting feature, identifying status and diagnosing malfunction. Many branches of signal processing methods have been developed, including parametric analysis and non parametric analysis. The parametric analyses include ARMA model, fractal dimension, and chaotic analysis for detecting weak signals in strong noise environments. The non parametric analyses include regular DFT spectrum, high resolution spectrum (AR power spectrum), frequency/time joint analyses (wavelets,Wigner distributions). The principles of those methods are reviewed, and their characters are compared with each other. Their applications are exemplified.
Signal processing algorithms have been broadly used for cancelling noise, extracting feature, identifying status and diagnosing malfunction. Many branches of signal processing methods have been developed, including parametric analysis and non parametric analysis. The parametric analyses include ARMA model, fractal dimension, and chaotic analysis for detecting weak signals in strong noise environments. The non parametric analyses include regular DFT spectrum, high resolution spectrum (AR power spectrum), frequency/time joint analyses (wavelets,Wigner distributions). The principles of those methods are reviewed, and their characters are compared with each other. Their applications are exemplified.
引文
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[2] 杨叔子.机械故障诊断的时序方法[M ].西安:西安交通大学出版社,1989
[3] INGRIDD .TenLecturesonWavelets[M ].CapitalCityPress,1992.
[4] 王建忠.小波理论及其在物理和工程中的应用[J].数学进展,1992,21(3):289-311.
[5] 刘贵忠,邸双亮.小波分析及其应用[M].西安:西安电子科技大学出版社,1992
[6] [美]崔锦泰.小波分析导论[M ].程正兴译.西安:西安交通大学出版社,1995.
[7] LEONC .TimeFrequencyAnalysis:TheoryandAppli cations[M ].PrenticeHall,1995.
[8] 陈逢时.子波变换理论及其在信号处理中的应用[M ].北京:国防工业出版社,1998.
[9] 赵松年,熊小芸.子波变换与子波分析[M ].北京:电子工业出版社,1996.
[10] 程正兴.小波分析算法与应用[M ].西安:西安交通大学出版社,1998.
[11] 李建平.小波分析与信号处理[M ].重庆:重庆出版社,1997.
[12] 秦前清,杨宗凯.实用小波分析[M ].西安:西安交通大学出版社,1994.
[13] 胡广书.数字信号处理理论、算法与实现[M ].北京:清华大学出版社,1997.
[14] 郑治真,等.瞬态谱估计理论及其应用[M ].北京:地震出版社,1993.
[15] 张济忠.分形[M ].北京:清华大学出版社,1995.
[16] HASEGAWAM .StudyonfractalcharacteristicsofARMAmodel[J].JournalofManufacturingScienceandEngineering,1996,118(4).
[17] GRASSBERGERP .Characterizationofstrangeattrac tors[J].PhysicalReviewLetters,1983,50(5):346-349.
[18] 张朝晖,黄惟一.振动波形的分形判断及特征提取[J].东南大学学报,1999,29(4):26-29.
[19] LOUISMP ,THOMASLC .Drivingsystemwithchaoticsignals[J].PhysRevA ,1991,44(4):2374-2383.
[20] 黄靖,于盛林.混沌电路的传感应用[J].南京航空航天大学学报,1997,29(3):295-300.
[21] BROWNR ,CHUALO ,POPPB .Issensitivedepen denceoninitialconditionsnature’ssensorydevice?[J].IntJBifurcChaos,1996,2(1):193-199.
[22] WANGG .Theapplicationofchaoticoscillatorstoweaksignaldetection[J].IEEETransonIndustrialElectron ics,1999,46(2):440-444.
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