Theoretical study on time delay and Doppler stretch estimation of Chirp signal based on Wavelet-Cumulants

The algorithm of wavelet analysis can be used to estimate the time delay (TD) and Doppler stretch (DS) of Chirp signals, but it cannot suppress the effect of Gaussian noises. In this paper, a definition of fourth-order Wavelet-Cumulants is given by combining the wavelet and the forth-order cumulant. This method can be used in unknown Gaussian noise environment. The simulation results demonstrate the effectiveness of this novel approach.