An investigation of the use of wavelets in vibration applications
George D. Catalano · Proceedings of the 17th International Modal Analysis Conference · 1999
An exploratory investigation of the applicability of wavelets and wavelet transforms to signals that are encountered in vibrational analysis has been performed. A wideband cross ambiguity function (WBCAF) is calculated for two signals, the original signal and scaled and translated versions of the second. In an active sensing problem, the first signal will be a known transmission and the second will be a reflected, refracted, and/or reradiated version of the transmitted signal. When the two signals are correlated, a single corrleation coefficient is calculated at each scale and translation value. The value of the coefficients can be interpeted as a representation of the actual scattering process. The WBCAF is calculated in the wavelet transform domain using a biorthogonal spline wavelet operating upon a linear chirp signal as a test case.