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Laplace小波及其工程应用 被引量:10

Laplace Wavelet and its Engineering Application
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摘要 小波变换是非平稳信号处理的有力工具 ,小波性质取决于它的基函数。在模态分析、机械监测诊断等领域 ,冲击响应信号十分普遍。一种单边衰减复指数型的Laplace小波基函数具有分析冲击响应信号的优势 ,采用Laplace小波相关滤波方法可提取振动信号中的冲击响应分量 。 Wavelet transform is a powerful technique well suited to non stationary signal processing. The property of wavelet is determined by its basis function. In the fields of modal analysis, mechanical condition monitoring and fault diagnosis, In the fields of modal analysis, mechanical conitoring and fault diagnosis, impulse responses are very common signals to be analyzed. Laplace wavelet that is a complex, analytic, single sided damped exponential is a desirable wavelet basis to analyze signals of impulse response. A correlation filtering approach is introduced using Laplace wavelet to identify impulse response from vibration signals. Successful results are obtained in diagnosing the leakage fault of intake valve of internal combustion engine, and identifying the natural frequency of hydro generator axle.
出处 《工程数学学报》 CSCD 北大核心 2001年第F12期87-92,共6页 Chinese Journal of Engineering Mathematics
基金 国家自然科学基金资助项目 (5 9775 0 2 3 5 992 4 0 38)
关键词 Laplace小波 冲击响应 固有频率识别 内燃机 故障诊断 Laplace wavelet impulse response identification of natural frequency internal combustion engine fault diagnosis
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  • 1Morlet J, Arens G, Fourgeau E, Giard D. Wave propagation and sampling theory-Part 1: Complex signal scattering in multilayered media[J]. Geophysics,1982;47(2):203-221.
  • 2Morlet J, Arens G, Fourgeau E, Giard D. Wave propagation and sampling theory-Part 2: Sampling theory and complex waves[J]. Geophysics,1982;47(2):222-236.
  • 3Grossmann A, Molert J. Decomposition of hardy functions into square integrable wavelets of constant shape[J]. SIAM J Math,1984;15(1):723-736.
  • 4Lind R, Brenner M, Haley S. Estimation of modal parameters using a wavelet-based approach[C]. AIAA Atmospheric Flight Mechanics Conference, New Orleans L A, AIAA August,1997;97:3836.
  • 5Freudinger L C, Lind R, Brenner M J. Correlation filtering of modal dynamics using the laplace wavelet[C]. Proceedings of 16th International Modal Analysis Conference, Santa Barbara California February,2-5,1998;867-877.

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