On the uncertainty in wavelet-based signal analysis

The evaluation of the uncertainty is a task usually neglected by people performing wavelet-based measurements. In this paper, the wavelet analysis aimed at gauging the synthesis of disturbances is considered and a general expression of the uncertainty affecting the above synthesis is provided. Simulations have been performed to validate the above expression, which holds no matter the mother wavelet used and the disturbance nature. Results of experiments on actual signal are also reported and discussed.