WAVELET ANALYSIS OF VIBRATION .1. THEORY

被引:260
作者
NEWLAND, DE
机构
[1] Department of Engineering, University of Cambridge, Cambridge
来源
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 1994年 / 116卷 / 04期
关键词
D O I
10.1115/1.2930443
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
Wavelets provide a new tool for the analysis of vibration records. They allow the changing spectral composition of a nonstationary signal to be measured and presented in the form of a time-frequency map. The purpose of this paper, which is Part 1 of a pair, is to introduce and review the theory of orthogonal wavelets and their application to signal analysis. It includes the theory of dilation wavelets, which have been developed over a period of about ten years, and of harmonic wavelets which have been proposed recently by the author. Part II is about presenting the results on wavelet maps and gives a selection of examples. The papers will interest those who work in the field of vibration measurement and analysis and who are in positions where it is necessary to understand and interpret vibration data.
引用
收藏
页码:409 / 416
页数:8
相关论文
共 14 条
[1]  
Chui C.K., An Introduction to Wavelets, (1992)
[2]  
Daubechies I., Orthonormal Bases of Wavelets with Finite Support— Connection with Discrete Filters, Proc. Int. Conf on Wavelets, pp. 38-66, (1987)
[3]  
Daubechies I., Orthonormal Bases of Compactly Supported Wavelets, Comm. Pure and Applied Maths, 151, pp. 909-996, (1988)
[4]  
Daubechies I., The Wavelet Transform, Time-Frequency Localization and Signal Analysis, IEEE Trans, on Information Theory, 36, (1990)
[5]  
Goupilland P., Grossmann A., Morlet J., Cycle-octave and Related Transforms in Seismic Signal Analysis, Geoexploration, 23, pp. 85-102, (1984)
[6]  
Haar A., Zur Theorie der orthogonalen Funktionensysteme, Math Ann., 69, pp. 331-371, (1910)
[7]  
Mallat S., A Theory for Multiresolution Signal Decomposition: The Wavelet Representation, IEEE Trans. Pattern Anal, and Machine Intell, 11, pp. 674-693, (1989)
[8]  
Newland D.E., Random Vibrations, Spectral and Wavelet Analysis, (1993)
[9]  
Newland D.E., Harmonic Wavelet Analysis, Proc. R. Soc. Lond. A, 443, pp. 203-225, (1993)
[10]  
Newland D.E., Some Properties of Discrete Wavelet Maps, Prob. Engng. Mech, 9, pp. 59-69, (1994)