ABSTRACT
In general, signal analysis by using a multiscale transform is characterized by the following elements. Frequently, a signal u(t) presents a set of features and structures occurring at different spatial scales. This signal is to be analyzed by a multiscale transform U(b, a) involving two parameters: b, associated with the time variable t of u(t), and a, associated with the analyzing scale. The scale parameter a is usually related to the inverse of the frequency f , i.e., 1a f , leading to a dual interpretation of these transforms and suggesting the terms time-scale and time-frequency. Therefore, a 1D signal u(t) is said to be unfolded by the 2D transform U(b, a), with the purpose of making explicit the information underlying its structures at different scales.
