Singularities and noise discrimination with wavelets
One can detect and characterize the singularities of a signal from the evolution of the wavelet transform coefficients across scales. The authors discriminate signal information from noise by using some prior knowledge of the properties of singularities. The wavelet transform of the signal is processed in order to remove the singularities created by the noise. The authors restore a sharp signal where part of the noise has been suppressed. Examples in one and two dimensions are shown.<<ETX>>