Wavelet Analysis of Vibration Signals Part 1: Wavelet Properties
David E. Newland · The International Journal of Acoustics and Vibration · 1996
Wavelet analysis allows the energy of a recorded signal to be decomposed into its contributions from different frequency bands and different locations.In contrast, Fourier analysis generates data which is the result of averaging over the duration of the record being studied; information about location can be obtained only by dividing a record into sections and Fourier analysing each section separately (which is what the short-time Fourier transform, STFT, does).For transient data analysis, the wavelet transform and the STFT produce similar results, but wavelet transforms have computational and other advantages which may be important in particular applications.Part 1 of this paper reviews wavelet theory and describes wavelet properties and computational algorithms for vibration signal analysis.Part 2 compares wavelet analysis with time-frequency analysis using the STFT and discusses particular advantages of the harmonic wavelet transform in this respect.