An approach based on multi-scale chirplet sparse signal decomposition is proposed to separate the multicomponent polynomial phase signals,and estimate the instantaneous frequency of polynomial phase signal component.This method projects the multicomponent polynomial phase signals onto the multi-scale chirplet base functions.Through the different support regions of time in which the projection coefficient is the largest,this method can separate the polynomial phase signal component with the largest energy from the multicomponent polynomial phase signals. The frequency curve which connects the basic functions is the estimation of instantaneous frequency of the separated polynomial phase signal component.Simulation example show that this method can separate the components of the Multicomponent Polynomial phase signals in Low Signal-to-Noise Ratio Condition effectively,and estimate the instantaneous frequency accurately.
LUO Jie-si;YU De-jie;PENG Fu-qiang.
Signal Separation and Instantaneous Frequency Estimation Based on Multi-scale Chirplet Sparse Signal Decomposition[J]. Acta Electronica Sinica, 2010, 38(10): 2224-2228.