A new method to estimate the oscillating singularity exponents in locally self-similar functions

A new method (WTMMP) to estimate the oscillating singularity exponents in locally self-similar function based on wavelet transform is presented. In this method, only one scale wavelet transform modulus of two kinds of wavelet is used. We illustrate our method on signals both with only one oscillating singularity and with the superposition of several oscillating singularities