... quantifiable and is often assessed by visual inspection. This paper proposes the continuous wavelet transform as the framework for characterizing the shape attributes of time series in the time-scale domain. The feature that enables this characterization is the multiscale differential capacity of continuous...

...Brian T. Holm-Hansen; Robert X. Gao, ASME Mem.; Li Zhang This paper presents a new, structural dynamics-based wavelet transformation technique for bearing defect detection. Specifically, a customized wavelet was developed analytically, using the scaling function derived from the actual impulse...

... track the time history of the harmonics, necessitating high frequency resolution over the entire frequency range of interest. In this research, wavelet packet analysis is used to process the motor currents and current residuals. Whereas the wavelet transform decomposes only the low frequency components...

... approximation wavelet transforms Systems with fast time-varying dynamics are encountered in an increasing number of engineering applications. For most of these applications the prior knowledge of system dynamics is, to a varying degree, available, or can be obtained experimentally. For example...

... December 27, 2000. Associate Editor: S. Fassois. 27 December 2000 linear systems time-varying systems discrete time systems identification transient response Banach spaces wavelet transforms function approximation Systems with complex, fast time-varying (TV) dynamics...