A new blind source separation method based on ridge characterization extraction is presented.The stationary phase method proves that in the asymptotic limit
the behavior of the continuous wavelet coefficients shows strong ridge character.By extracting the ridge characterization of each signal component
some parameters of the signal component can be extracted and used in reconstruction of the original signal.This feature can be used in blind source separation of a set of instantaneous linear mixtures of non-stationary signals.Numerical simulations are provided.